# Form a polynomial f(x)

16,984 results, page 3

### Math

State whether each expression is a polynomial. If the expression is a polynomial, identify it as monomial,a binomial, or a trinomial. 1.1/5y^3+y^2-9 2.6g^2h^3k Are these the right answers? Thanks 1.No 2.Yes, monomials.

### Math: Polynomial inequalities

Show all work solve the Math: Polynomial inequality and express the solution in set notation. 2t^2 - 3 < or = to t

### 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

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

### Math

After 3 years investment of 1200 compounded annually and an interest rate R will yield an amount of 1200 (1+R)Q write this polynomial in standard form

### Math-Funtions

1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function

### Math-Functions

1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function

### Math---helpppp

1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function

### Algebra

Consider the following polynomial function F(x)=-2x^3-x^2+13x-6 to answer the following question. If (x+3) is a factor of f(x) rewrite f(x) in completely factored form and identify the zeros f(x).

### 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

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

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

### Math - polynomial function

Write a polynomial function with integral coefficients having the given roots. 1.) 0, -1/2, 6 2.) +or- 5i

### 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?

### math

Find a cubic polynomial p(x) so that the solution of p(x) ≤ 0 is [-2,1] or [4,∞). Is your polynomial the only one that gives this solution? Explain.

### Help Polynomial

A polynomial P(x) has remainder R x +S on division by (x-a) (x-b). If a is not equal to b, express the constants R and S in terms of a, b, P(a), P(b). Find the remainder when P(x) is divided by (x-a)^2.

### sharma

if alpha and beta are the zero's of quadratic polynomial f(x) =x*x-x-2 find a polynomial who's zeros are 2 alpha +1 and 2 bita + 1 ?

### Algebra 2

The Question(s):: Write the polynomial 2-2x+5x^2-2x^5 in standard form. a.) What is its degree? b.)What is the leading coefficient? I missed this lesson in class. It's very confusing. Could someone please explain what to do? Much appreciated, Rae

### Finding polynomial from zeros

How to find the polynomial degree 2 and zeros are (1+i) & (1-i) I would like to see the steps to solve this. Thanks. If those are the roots, then the following are factors: (x-1-i)(x-1+i)

### Polynomial Function

Could you help me with the following problem, I don't understand how to do it. Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20

### math

If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ...

### math

If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ...

### math

If the digits of a number may be any one of 0 through 9 (except the first digit cannot be zero), and the system of alternating signs of coefficients is used to create a polynomial, what is the least number m of real zeros the polynomial can have? What is the greatest number M ...

### 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?

### Math

Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: -6 + 13i^3, -8 + s^2i, -3 - 4i

### Polynomial

Arrange the terms of the polynomial in descending powers of p. 13rp-4r^4p^4-4r^2p^3 Is my answer correct? -4r^4p^4-4r^2p^3-13rp

### Math - Trigonometry

Let f(x) be a polynomial such that f(cos theta) = cos(4 theta) for all \theta. Find f(x). (This is essentially the same as finding cos(4 theta) in terms of cos theta; we structure the problem this way so that you can answer as a polynomial. Be sure to write your polynomial ...

### algebra

explain in your own words how to factor a polynomial of the the form ax^2 + bx+c when A is not equal to 1. Describe both the grouping approch as well as reversing FOIL. Contrast the two methods by means of an example. Which is the best approach and why>

### Algebra

2pi(x^2 + 4x + 4) + 2pi(x^2 + 7x + 10) How do I write this as a polynomial in standard form (by factoring out 2pi)?

### Algebra

Write a polynomial of least degree with real coefficients and with the root -6-8i. Write your answer using the variable x and in standard form with a leading coefficient of 1. Thanks, I have no idea!

### Precalculus

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed. 2(multiplicity 2), -4(multiplicity 3)

### Precalculus

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed. 3(multiplicity 2), 5+i(multiplicity 1)

### 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 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

### Polynomial

Create a polynomial that describes the perimeter of the outside figure: x + 8, 5, x, x, 2x, x + 8, 34 and inside figure: x + 12.

### Math

Let f(x) be a polynomial such that f(cos theta) = cos(4 theta) for all theta. Find f(x). (This is essentially the same as finding cos(4 theta) in terms of cos theta; we structure the problem this way so that you can answer as a polynomial. Be sure to write your polynomial with...

### college algebra

1. find the equation of the line with the given properties. Express the equation in general form or slope-intercept form. perpendicular to the line -3x_y= -27; contains the point (9, -1) the equation of the line is ? 2. solve the polynomial inequality and then graph the ...

### algebra plus

The base of a rectangular box is x +2 cm wide and 2x+5 cm long. if the height of the box is x cm, write a polynomial in standard form which represents the box's volume

### Math

Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is -136, two complex roots <--? discriminant is -136, one complex root discriminant is 144, two real roots If a ...

### math

For every positive integer n, consider all monic polynomials f(x) with integer coefficients, such that for some real number a x(f(x+a)−f(x))=nf(x) Find the largest possible number of such polynomials f(x) for a fixed n<1000. Details and assumptions A polynomial is ...

### math

The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of a and b.

### Math

Given a polynomial and one of its factors, find the remaining factors of the polynomial. Some of the factors may not be binomials. 169x^3-1690x^2-9x+90; x-10

### Math - Fundamental Theorem

We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate pairs). But how can we get the same conclusion by ...

### Calculus

Form a polynomial, f(x) with real coefficients having the given degree and zeros. Degree: 4 ; Zeros: 4i and 5i Really need help! don't know where to start.

### calculus

form a polynomial with real coefficients have given degree and zeros. degree 5, zeros 9, -i; 8+i please show work

### Algebra ll

Please help!! I do not understand any of this!! Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 2, multiplicity 2; 3i

### college algebra

Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree 3; zeros: 1 + i and -10

### College algebra

Form a polynomial f(x) with real coefficents having the given degree and zeros degree 5; zeros: 5; -i; -9 +i f(x)=a

### College algebra

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )

### College Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )

### College Algebra! help!

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -4; -i; -2+i f(x)=a( )

### elgebra

indentify the degree of each term of yje polynomial and the degree of the polynomial -2X^3+3x^2+4x+9

### Connexus

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?

### algebra

What is the complete factored form of the following polynomial? 40u^2v + 50uv^2 a) 10u(4uv + 10v^2) b) 5u(8uv + 10v^2) c) 10uv(4u + 5v) d) 5v(8u^2 +10uv) Thanks!!!!!!!!!!!!!!!

### math

how do i represent 1/(1+x^4) in general taylor polynomial. I know the pattern is 1-x^4+x^8-x^16..... I don't know how to represent this pattern in variables equation form

### math

how do i represent 1/(1+x^4) in general taylor polynomial. I know the pattern is 1-x^4+x^8-x^16..... I don't know how to represent this pattern in variables equation form

### Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros:1;-i; -7+1

### Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros: -1, 2, and 1-2i

### Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros: -1, 2, and 1-2i

### Algebra II

Factor the Polynomial in quadratic form. 6y(to the sixth power) - 5y(to the third power) - 4 6y^6 - 5y^3 -4 = (2y^3 + 1)(3y^3- 4) I do not believe the cubic terms are separable into quadratic factors.

### Algerbra

A rectangular flower garden is 4 feet longer than its width w. Write a polynomial that represents the area of the garden. Write your answer in simplified form.

### 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

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

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%

### Polynomials

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%

### POLYNOMIALS

The cubic polynomial f(x) is such that the coefficient of x^3 is -1. and the roots of the equation f(x) = 0 are 1, 2 and k. Given that f(x)has a remainder of 8 when divided by (x-3), find the value of k. okay, this is what i did: -x^3 + bx^2 + cx + d = (x-1)(x-2)(x-k) f(3)=8 -...

### pre cal

Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

### Math

Suppose you have a graph of a polynomial function and you can see that the function increases without bound on both left and right ends, has 4 real zereos and has 5 turning points. Based on this information, what is the minimum degree of the polynomial?

### pre-calculus

form a polynomial f(x) with real coefficients having the given degree and zeros. degree: 4; zeros: -1, 2, and 1-2i. I got an exam tomorrow, i would appreciate any kind of help, thank you.

### *re-Calc

I am trying to get the polynomial; x^7+2x^6+3x^5+4x^4+6x^3+6x^2+7x+8 divided by; x^5-2x^4-3x^3+5x^2+2x-3 into a partial fraction form so that I can create a system of equations to solve for. So far, after dividing I have (x+1)(x-1)^2, and (x^2-x-3) as factors along with an ...

### 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

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.

### math

When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. Determine the remainder when the polynomial is divided by (x-1)(x+2).

### Math

consider the polynomial (x-a)(x-b) and the real number line 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 change signs?

### 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-...

Can you please give a example so that I can understand it better. 1)How can you tell whether a polynomial is written in factor form. 2)Construct a trinomial whose greatest common factor is 2x^2.

### Precalc

Use the Remainder Theorem to determine if x - 2 is a factor of the polynomial: f(x) = 3x^5 - 7x^3 - 11x^2 + 2 I am confused because I cannot rationally factor this polynomial. Does it want me to use x - 2 as a denominator?

### Math

Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 x=2 I have no idea how to start this problem!!

### Math

Determine whether the following statement makes sense or does not make sense, and explain your reasoning: When I'm trying to determine end behavior, it's the coefficient of the leading term of a polynomial function that I should inspect. A) This makes sense because the ...

### Music

What musical form preceded the sonata-allegro form, and is the sonata-allegro form still being used today? Sup' Christy, I beleive the form that preceed the sonata-allegro form would be the "minuet and trio" form. Symphonies are where you can find the s-a form. Laters.

### pre-calc

I am trying to get the polynomial; x^7+2x^6+3x^5+4x^4+6x^3+6x^2+7x+8 divided by; x^5-2x^4-3x^3+5x^2+2x-3 into a partial fraction form so that I can create a system of equations to solve for. So far, after dividing I have (x+1)(x-1)^2, and (x^2-x-3) as factors along with an ...

### 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 ...

### 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

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--polynomial equation

Write a polynomial equation with these roots. a)-1,2+ã3,2-ã 3 b)2,5,1

### 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)

Write the polynomial in simplest form with roots 4, 5i and -5i(multiply it out so no parentheses remain (x-4)(x+5i)(x-5i)(NOT SURE ABOUT THIS ONE) (x-4)(x^2-25i^22) (x-4)(x^2+25) x^3+25x-4x^2-100 x^3-4x^2+25x-100 Is this correct

### Math - Int Trig

Form a polynomial f(x) with real coefficients having the given degree and zeros 21) Degree: 4, zeroes: 2i and -3i 22) Degree: 3, Zeroes i and -10

### algebra

A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula v = pi r^2 h for the volume of a cylinder.

### Math--polynomial equation

Write a polynomial equation with these roots. a)-1,2+sqt3,2-sqt3 b)2,5,1 sqt= square 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 2

The lenths of the side of a triangle are x+4 units, x units, and x+1 units. Express the perimeter of the triangle as a polynomial in standard form.

A polynomial of degree 4 that increases the y-axis at 6 and whose y-values get more and more negative as x -> +infinity and x -> -infinity -Represent a function that satisfies the given conditions by an equation. Leave in factored form.

The polynomial function defined by f(x) = 1 − x + x^2 − x^3 + ... + x^16 − x^17 may be written in the form f(y) = a_0 + a_1 y + a_2 y^2 + ... + a_16 y^16 + a_17 y^17, where y = x + 1 and a_i s are constants. Find a_2.