# Algebra -polynomial

42,050 results

### 8th Grade Algebra

Multiply. 1) (3t^2 - 2t - 4) * (5t + 9) Writing. 1) Explain why the product of a quadratic polynomial and a linear polynomial must be a cubic polynomial.

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### algebra

can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

### Math

The function f(x) = x^2 -2x + x^1/2 is: A. A polynomial because it is continuous. B. A polynomial because it is of the form axn. C. Not a polynomial because you are subtracting 2x. D. Not a polynomial because you can’t have any fractional exponents. Is the answer D?

### algebra!!!! please help me!!!!

A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, √2 is algebraic because it is a root of the polynomial x^2−2. The number √(2+√3+√5)is also algebraic because it is a root...

### Algebra -polynomial

Solve the polynomial 40x^2+2x-65 Notice that for x = 1 the value is -23. The number 23 is a prime number and the only factors are thus 23 and 1 up to signs. So, you can simply the search for the factors of the polynomial a great deal by substituting: x = 1 + t which yields 40 ...

### Algebra

Identify coefficients and the degrees of each term polynomial, and then find the degree of each polynomial. a^3b^8c^2 - c^22 + a^5c^10

### Algebra Help

Identify coefficients and the degrees of each term polynomial, and then find the degree of each polynomial. a^3b^8c^2 - c^22 + a^5c^10

### algebra

the sum of two polynomials is 40x^5-2x^4+x^3-7x^2-1. if the polynomial is the square of (x^2-7x+1), find the other polynomial

### Algebra

2. What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial?

### algebra

What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial?

### college algebra

find all the zero's of the followig polynomial. write the polynomial in form. f(x)=x^2-256

### Algebra

What is 9x^2 +4x^2 Factor each polynomial completely. If a polynomial is prime, say so.

### Algebra 1

Is this a polynomial? 15x – 12 + 4x I'm pretty sure it is a polynomial, am I right?

### College Algebra

Find all zeros of the following polynomial. Write th polynomial in factored form. f(x) = x^4 - 256

### Algebra

Do I have this right? A first degree polynomial crosses the x axis A second degree polynomial touches the y axis without crosisng A third degree polynomial flattens against the y axis.

### Algebra

There is a polynomial which, when multiplied by x^2+2x+3, gives 2x^5+3x^4+8x^3+8x^2+18x+9. What is the polynomial?

### Algebra Question~!

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is not a factor of the ...

### algebra

find F(2) for the polynomial shown below. F(x)=(x^4)-(2x^3)+(3x^2)-(10x+3'0 Substitute 2 for x in the polynomial to work this out. Be sure to watch your signs! I hope this will help.

### Algebra

Use synthetic division to divide the polynomial 2x^3 – 12x – 5 by x + 4, Write the quotient polynomial and the remainder. [Be careful – notice that there is no x2 term.]. Show work.

### algebra--1 question

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the ...

### Algebra

Consider the polynomial: f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### Algebra

Use synthetic division to divide the polynomial 2x^3 – 12x – 5 by x + 4, and write the quotient polynomial and the remainder. [Be careful – notice that there is no x^2 term.] Please Show work.

### algebra

Use synthetic division to divide the polynomial 2x3 – 45x + 28 by x + 5, and write the quotient polynomial and the remainder. [Be careful – notice that there is no x2 term.]. Show work.

### algebra

Use synthetic division to divide the polynomial 2x3 – 45x + 28 by x + 5, and write the quotient polynomial and the remainder. [Be careful – notice that there is no x2 term.]. Show work.

### algebra

Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### algebra

Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### Algebra

Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.

### zeros of a polynomial

polynomial is x^3 - x^2 -11x + 15 If 3 is the zero of the polynomial, when you divide this polynomial with x-3, the remainder has to be 0? yes. If y=x^3 - x^2 -11x + 15, when y=0 the roots are on the axis.

### calc

A basic fact of algebra states that c is a root of a polynomial f(x) if and only if f(x) = (x-c)g(x) for some polynomial g(x). We say that c is a multiple root if f(x) = [(x-c)^2](h(x)) where h(x) is a polynomial. Show that c is a multiple root of f(x) if and only if c is a ...

### Math Algebra

Determine whether the expression is a polynomial, if it is state how many terms and variables the polynomial contains. then state the degree 7x^2+3x+3

### Algebra

If 3 is a zero of the polynomial f(x), then which of the following is NOT necessarily true? A. (x – 3) is a factor of the polynomial f(x). B. 3 is a solution of the equation f(x) = 0. C. (3, 0) is an x-intercept for f. D. (0, 3) is a y-intercept for f.

### algebra

Determine whether the expression is a polynomial. If is is state how many terms and variables the polynomial contains. State the degree -7-1/4x

### Algebra-VERY IMPORTANT

Given the polynomial x^2+10x+k Find all the values of k so that this given polynomial is factorable

### algebra

solve the polynomial y=2x^2-4x+1 I am sure neither your text nor your teacher asked you to "solve the polynomial y=2x^2-4x+1 " are you graphing the function, or are you solving the quadratic y=2x^2-4x+1 ?

### Algebra 2

1. Write a polynomial in standard form that has solutions: 0, -2, 3 2. Write a trinomial that has a degree of 4 and a lead coefficient of -3 3. True of false: 3/x^2 is a polynomial expression

### Algebra

Solve the polynomial x^2+35x+27 Is this polynomial equal to something? Assuming it is equal to zero x= (-35 +- sqrt (35^2 -4*27) )/2

### Algebra

What polynomial could you subtract from 5x^3 - 12x - x^2 + 9 - 12x^5 - 6x^4 to give a difference of 19 + 8x^3 - 18x - 19x^5 - 2x^2 - 8x^4? Is the answer k (the polynomial) = 7x^5 + 2x^4 - 3x^3 + x^2 + 6x - 28?

### algebra

Evaluate the polynomial for x=2 and x = -2. 3x^5-1/4x^2 The value of polynomial for x=2 The value of polynomial for x=-2

### algebra

Identify the degree of each term of each polynomial. Then find the degree of the polynomial. xy^3 + 7x^3y^2 - 6xy^4 + 2 I am really having trouble with how this process works. I know the degree of the polynomial is 5 but I don't know how to identify the degree of each term. I ...

### algebra question

Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5) (2x -1) ( ? ). How many such polynomials you think there are?

### Algebra 2

Given that the polynomial has the given root, find all roots of the polynomial. P(x) = x^4 - 5x^3 + 7x^2 - 5x + 6; -i

### Math ( Polynomial )

If the polynomial, x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by another polynomial x^2 - 2x + k, the remainder comes out to be x + a, find k + a, please work the complete solution instead of giving simply an answer.

### Algebra

How can you determine if a polynomial is the difference of two squares? I think that if the polynomial is x^2-64 that this is a polynomial that is a difference of two squares because if you factor it out you would get (x+8)(x-8). If the 64 in my example were positive would ...

### algebra

Like Terms and Degree Identify the degree of each term of each polynomial. Then find the degree of the polynomial xy^3 + 7x^3y^2 - 6xy^4 + 2

### Algebra

I already posted this question and Reiny answered it, I just wanted to clarify my answer Problem: If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x)-g(x)? Reiny: so f(x) has to contain an x^4 term and g(x) does...

### Algebra

P dollars is invested at annual interest rate r for 1year If the interest is compounded semiannually then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. rewrite the expressions without parentheses evaluate the polynomial if P=5670 and r=3.5%

### algebra

Volume of a Box (Refer to the preceding exercise.) A box is constructed from a square piece of metal that is 20 inches on a side. (a) If the square corners of length x are cut out, write a polynomial that gives the volume of the box. (b) Evaluate the polynomial when inches. (c...

### Algebra (College)

I need to divide this polynomial synthetically. I think I did it right, but can someone confirm if my answer is right or wrong? Polynomial: x^4 - x^3 + x^2 - x + 2 Divisor: x-2 My answer: x^3 + x^2 + 3x + 5 + 12 (remainder) ---- x-2

### algebra

Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; -i;-7+i Enter the polynomial f(x)=a(____) type expression using x as the variable

### algebra

dividing a polynomial by a polynomial example x-3/x with exponent of 2 -10x+9 or even 2x-3/x with exponent of 2 -10x+9 Thank you any great tutorial sites would help me also.

### college algebra

form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a?()

### algebra

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 2 – 11x^2 – 8x + 6x^2 A. –5x^2 – 8x + 2; quadratic trinomial B. –5x^2 – 8x; quadratic binomial C. –6x^2 – 8x – 2; ...

### algebra

form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:-3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?)

### Math:Polynomial Functions

h(x) = -7x I was thinking that this was not a polynomial function because -7x is just one term making it a monomial but the answer key says it is a polynomial function. Could someone explain why that is so? Thanks :D

### algebra

A polynomial f(x) of degree 3 leaves a remainder of 6 when divided by (x+1) and a remainder of 12 when divided by (x-2). Given that the coefficient of x^3 is 2 and (x+2) is the factor of the polynomial. Show that f(x)= 2x^3+3x^2-5x+2

### Algebra Answer Check

What polynomial could you subtract from 5x^3 - 12x - x^2 + 9 - 12x^5 - 6x^4 to give a difference of 19 + 8x^3 - 18x - 19x^5 - 2x^2 - 8x^4? Is the answer k (the polynomial) = 7x^5 + 2x^4 - 3x^3 + x^2 + 6x - 28?

### algebra

Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial. 1. 7a^2b + 3b^2 – a^2b 2. 6g^2h^3k

### Math (Algebra)

A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example,√2 is algebraic because it is a root of the polynomial x^2−2. The number √2+√3+√5 is also algebraic because it is a root ...

### algebra

Identify the degree of each term of each polynomial. Then find the degree of the polynomial combine like term. m^3+ 2m^2n-3m^2+3ma^2

### Algebra

What type of polynomial is this? 2 - 5x^3 + 6x A)not a polynomial B)cubic trinomial C)quadric trinomial D)fourth-degree trinomial Since the degree is 4, I think the answer is D. Is this correct?

### Graphs of polynomial functions

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

### math algebra 2

polynomial complete the table for -7x^4+8x^3-3x^2+5x-9 not sure if this is correct sorry I did not post my answer to check to see if they were correct. term -7x^4 8x^3 3x^2 5x -9 coefficient -4 8 3 5 8 degree of term 4 3 2 1 0 degree of polynomial 7? -7x^4

### algebra

Use the discriminant to find out whether this quadratic polynomial can be factored. Factor the polynomial if it is not prime. This polnomial is prime, so I cannot factor it. I just need help with the discriminant part. Thaks in advance for your help. 4x^2-27x+45

### Polynomial Functions

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

### Polynomial Functions-help

What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

### Algebra

Divide 1-125b^3 by 5b - 1 You need to learn the technique of polynomial long division. It's just the same as if numbers were involved. See http://www.sosmath.com/algebra/factor/fac01/fac01.html for sevaral examples. Hint: It will be a three-term polynomial. The first term will...

### math help pls pls pls

Four polynomials are shown below: A. 2 − 2x5 + 2x2 B. 5x3 + 5 − 5x4 C. 3x + 2x5 D. 6x3 − 1 Which of the above polynomials is a 5th degree binomial? Polynomial A Polynomial B Polynomial C Polynomial D pls help me

### algebra

Evaluate the polynomial when x =4 Evaluate the polynomial when x = 4: x3 - 5x2 + x

### algebra

Volume of a Box A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial A box is constructed from a square piece of ...

### algebra 1

Can someone solve theses for me? Factor the polynomial x2 + 7x + 12 completely Factor the polynomial x2 – 4 completely Factor the polynomial 18a2b – 4ab + 10a completely x2 + 7x + 12 = (x+4)(x+3) x2 – 4 = (x+2)(x-2) 18a2b – 4ab + 10a = 2a(9ab - 2b + 5)

### Algebra

Swimming space. The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial A(x) that represents the area. Find A(5). I have the polynomial being: A(x)=2x^2+3x If I find A(5): 2*5^2+3*5 2*25+15 65 meters. Is this right?

### College Algebra

I need to divide this polynomial synthetically. I think I did it right, but can someone confirm if my answer is right or wrong? Polynomial: x^4 - x^3 + x^2 - x + 2 Divisor: x-2 My answer: x^3 + x^2 + 3x + 5 + 12 (remainder) ---- x-2 ( the x-2 in my answer is meant to go under ...

### Algebra

Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^3-3x^2-...

### Algebra

•How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from real life in which you might ...

### Algebra 2

for the polynomial complete the following table, -7x^4+8x^3-8x^2+3x-4. Degree of the term, Coefficient, Degree of the term, Degree of the Polynomial. Thank you.

### polynomials

No to both questions. A polynomial is a sum of at least one integer power of x (or other unknown), each multiplied by a constant. '9' is simply a constant. 2^x is a power of 2, not a power of x. Is 9 a polynomial? Is 2^x a polynomial?

### Algebra Help PLEASE

How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from real life in which you might use...

### Precalculus

There is at least one polynomial with real functions with 9+i as its only nonreal zero. A. The statement is false, because the Fundamental Theorem of Algebra dictates that there must be n complex zeros for a polynomial of degree n. B.The statement is true. If 9 plus ...

### Math

consider the polynomial (x-a)(x-b)and the real number line Identify the points on the line where the polynomial is zero. In each of the three subintervals of the line, write the sign of each factor and the sign of the product.For which values does the polynomial possibly ...

### algebra

Bob's Barber shop estimates their gross revenue for the second qaurter to be given by the polynomial 9x^3+4x^2-6x+9. The shop estimates their costs for that quarter to be given by 7x^2+2x+1. For the second qauter,find and simplify a polynomial that will represent their profit

### algebra

1. Evaluate the polynomial for x=3 and x=-3: the value of -6x +8 is - when x is 3, when x is -3? 2. Evaluate the polynomial for x =-4 and x=4:The value of -2x^3+8x^2-5x-9 is- x is 4,x is -4. 5. Add (8m^3-3m^2+m-5)+(8m^3+3m^2-4m-2) 6.Subtract (5a^3+a-7)-(8-7a^3-2a^2) &. (-1/2y^...

### algebra

List all possible or potential rational zeros for the polynomial below find all real zeros of the polynomial below and factor completely over the real numbers. f(x) x^4 + 10x^3 + 12x^2 - 58x + 35 Someone anyone?????

### algebra

Compounded semiannually. P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if

### college algebra

What is the fundamental theorem of algebra of this polynomial in completed factored form? and how do I graph it? f(x)=x^5-x^4+x^3-x^2+x-1

### college algebra

What is the fundamental theorem of algebra of this polynomial in completed factored form? and how do I graph it? f(x)=x^5-x^4+x^3-x^2+x-1

### math

1.binomial 2.degree of monomial 3.monomial 4.perfect-square trinomial 5.standard form of polynomial A.a polynomial with two terms B.a polynomial in which the terms decrease in degree from left to right and there are no like terms C.a polynomial whith two identical binomal ...

### math/algebra

Compounded semiannually. P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the ...

### College Algebra

Compounded semiannually. P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the ...

### Pre Calculus

1. Find all rational zeros of the polynomial. Then determine any irrational zeros, and factor the polynomial completely. 3x^4-11x^3+5x^2+3x 2. Find the polynomial with leading coefficient 1 that has a degree of 4, a zero of multiplicity 2 at x=1 and a zero at x=2+i

### math

As^5.V(s)+Bs^4.V(s)+Cs^3.V(s)+Ds^2.V(s)+Es^1V(s)+F.V(s)=1, where V(s) is the transformed transient output voltage. Rearranging the 5th order transient polynomial equation above we have: V(s) = 1 / H(s) where H(s) is a polynomial is a polynomial in s to be determine. The values...

### Whats the answer

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 2-11x^2-8x+6x^2. A) -5x^2-8x+2; quadratic trinomial B) -5x^2-8x; quadratic binomial C) -6x^2-8x-2; cubic polynomial D) -8x+2; cubic trinomial