# Form a polynomial f(x)

16,984 results

### 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?

### Form a polynomial f(x) from coefficient and it's 0

Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree: 4; zeros: 6i and 7i I completely don't know what to do with this problem... if someone can solve and give a good explanation, I'd appreciate it. Thanks.

### find the polynomial

degree 4 zeros i & (1+i) constant term 12 How do I start this problem. Thanks A degree four polynomial will have the form (x^4 +... x + c), where c is a constant. You will need to generate an equation that has the above form, using c=12. Solve for the roots [i & (1+i)].

### Dividing Polynomials

How does writing a polynomial in standard form help you name the polynomial?

### college algebra

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

### calculus

find all zeros of the following polynomial. write the polynomial in factored form. f(x)=x^3-3x^2+16x-48

### Pre-Calculus

Find all rational zeros of the polynomial, and write the polynomial in factored form? P(x)= 2x^3-3x^2-2x+3

### College Algebra

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

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

Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 I put: x^2(x-3)+16(x=3) (x-3)(x^2+16) For zeros: x-3=0 x=0 **My teacher stated check the equation solution again. What is the value for x and hence what is the zero for the ...

### Form a polynomial f(x)

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( )

### Form a polynomial f(x)

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

### Form a polynomial

Form a polynomial f(x) with real coefficients having the given degree and zeros Degree 5; zeros: -8; -i; -8+i

### 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

Is a polynomial in standard form equal to a polynomial not in standard form?

### Algebra

Can someone show me how to do this? I got 5 more problems of the same kind. Thannk! Consider the polynomial P(x), shown in both standard form and factored form. P(x) = 1/2x^4 - 9/2x^3+21/2x^2+1/2x-15 = 1/2 (x+1)(x-2)(x-3)(x-5) State the behavior at the ends: (up/down) at the ...

### Algebra

Can someone show me how to do this? I got 5 more problems of the same kind. Thannk! Consider the polynomial P(x), shown in both standard form and factored form. P(x) = 1/2x^4 - 9/2x^3+21/2x^2+1/2x-15 = 1/2 (x+1)(x-2)(x-3)(x-5) State the behavior at the ends: (up/down) at the ...

### Pre-Cal.

find all the zeros of the following polynomial. Write the polynomial in fraction form. Show all the work. f(x)= x^4+3x^2-40

### Maths

If alpha amd beta are zeroes of polynomial x^2+8x-6 form the polynomial whose zeroes are 1 /2alpha and 1/2beta.

### 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

### Math

Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers. x^4 + 20x^2 -44=0

### pre cal

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, -13, and 5 + 4i Urgently need help

### Math Help TIMED!

write the polynomial in standard form then name the polynomial based on its degree and number of terms 10 g - 7 g^3 + 2g^2 - 5 a. -7g^3 + 2g^2 + 10g - 5 cubic polynomial b. -5 + 10g + 2g^2 - 7g^3 cubic binomial c. 7g^3 - 2g^2 + 10g - 5 quadratic binomial d. 2g^2 - 7g^3 + 10g...

### Numerical Analysis

x 0 2 3 4 y 7 11 28 63 a)_Using these values, use the Lagrange interpolation process to obtain a polynomial of least degree. b)_rearrange the points in the table of a) and find the newton form of the interpolating polynomial. Show that they are the same even though their forms...

### calculus

can someone please help me find all the zeros of the following polynomial. write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 can you please show all work

### 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

### 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?()

### pre-calculus

form a polynomial f(x) with real coefficients having the given degree and zeros. degree 5; zeros -7; -i;-9+i enter the polynomial. f(x)=a(?)

### 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(?)

### 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.

### 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 2

I am trying to factor a 4th degree polynomial that does not have any rational roots. I need to somehow get it factored into two quadratics. Anyone know of a method to use. 3x^4 - 8x^3 - 5x^2 + 16x - 5 Two of the irrational roots are 1.135.. and 0.382.. but that won't help you ...

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.

### 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.

### math

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a). Part 1. Show all work using long division to divide your polynomial by the binomial. Part 2. Show all work to evaluate f(a) using the function you created. Part 3. Use complete ...

### Math

What does the degree of a polynomial expression tell you about its related polynomial function? Explain your thinking. Give an example of a polynomial expression of degree three. Provide information regarding the graph and zeros of the related polynomial function.

### math

Find a polynomial f(x) with leading coefficient 1 and having the given degree and zeros. Each polynomial should be expanded from factored form, simplified and written in descending order of exponents on the variable. For example: (x+5)(x-2) should be given as the answer x^2 + ...

### 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

### PreCalc

When the polynomial p(x) is divided by (x–2), the remainder is 3 and when p(x) is divided by (x+1) the remainder is 9. Given that p(x) may be written in the form (x–2)(x+1)q(x) + Ax + B where q(x) is a polynomial and A and B are numbers, find the remainder when p(x) is ...

### Algebra 2!

1.) ƒ(x) = (x^4)/4 − 3x^3 + (23x^2)/2 - 15x. Find the x values where the extremes occur. 2.) On a 10 question exam each question is worth 10 points (no partial credit). How ways can you make a 70%? 3.) Write the polynomial in standard form. Then classify it by degree ...

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...

### 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?

### 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 2

Hello! I need help with these four math problems. Thanks so much! :) 1.) ƒ(x) = (x^4)/4 − 3x^3 + (23x^2)/2 - 15x. Find the x values where the extremes occur. 2.) On a 10 question exam each question is worth 10 points (no partial credit). How ways can you make a 70%? 3...

### algebra

write a polynomial in factored form x^3-3x^2-10x

### algebra

What is a polynomial function in standard form with zeroes 1,2,-3,and -3

### Pre-calculus

*polynomial in standard form 1)5/12+7/18=5/6 2) 3x/(x+1)-1/(x)=______/x^2-1x

### math

divide the polynomial x^3-3x^2+x+2 by x+2. Express your answer in the form f(x)=d(x)q(x)+r(x).

### math

divide the polynomial x^3-3x^2+x+2 by x+2. Express your answer in the form f(x)=d(x)q(x)+r(x).

### Algebra 2

What is a polynomial function in standard form with zeros 1, 2, 3, and –3?

### Algebra

Find the polynomial form of the equation below. y=-1.0(x-4.0)^2+2.0

### math

form a polynomial with a degree of 4 zeros 4,-3i,1 and multiplicity 2

### Maths

Compute the following polynomial in standard form: (1 + x + x^2 + . . . + x^16)(1 - x)

### 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

Consider the polynomial P(x), shown in standard form and in factored form. (a) State the behavior at the ends (fill in blanks): At the left, as x „_ ¡V„V, P(x) „_ __ (choose ¡V„V or „V). At the right, as x „_ „V, P(x) „_ __ (choose ¡V„V or „V). (b) State...

### algebra

Consider the polynomial P(x), shown in standard form and in factored form. p(x)= -(1)/(5)x^(3)+(1)/(5)x^(2)+(17)/(5)x+3= -1/5(x+3)(x+1)(x-5) (a) State the behavior at the ends (fill in blanks): At the left, as x „_ ¡V„V, P(x) „_ __ (choose ¡V„V or „V). At the right...

I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with real coefficients having the given degree ...

### college algebra

form the polynomial given,degree 4 and zeros: i, 1+2i

### Math

Let p(x)=x^3+4x^2+x-6. Find a polynomial g(x) can be (remainder) r, such that p(x) can be expressed in the form p(x)=(x-2)g(x)+r

### algebra

What is cubic polynomial function in standard form with zero 1, -2, and 2

### algebra 1

how do you write this polynomial 5x3 + x5 − 8 + 4x in standard form?

### algebra

What is a quartic polynomial function in standard form with zeros 1, –2, –2, and –3?

### Algebra Help

Form a Polynomial f(x) Degree: 4, Zeros: 2+2i;-5, Multiplicity:2 f(x)=a(______________)

### Algebra

Write a polynomial function in standard form with zeros -1, -1, 6

### 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 ...

### Maths

If alpha and beta are the zeros of the polynomial 4x square-16x+15, form a polynomial whose zeros are alpha by beta,beta by alpha

### Algebra 1

1. Simplify 49^3/2. My answer: 343? 2. Simplify 5^ãx^25y^125. My answer: x^5y^25? 3. When the polynomial 5x - 2x + 8x^2 - 7 is written in standard form, what is the leading coefficient? My answer: -2? 4. Classify the polynomial 5x^2 + 9x + 1 according to tis degree and ...

### 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 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

What is the complete factor form of the polynomial? -32a^6-28a^5-36a

### Algebra 2

Write a polynomial function in standard form with the given zeros: x=2,-2,4

### math

write a polynomial function in standard form with the given zeros. 1-2i,2

### algebra1 HELP PLEASE Thanks you!!

Write a polynomial function in standard form with zeros at 6, -4, and 1

How do you write a polynomial in standard form? Ex. 1.1x-8.5x^3

### 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 ...

1. Simplify 49^3/2. My answer: 343? 2. Simplify 5^ãx^25y^125. My answer: x^5y^25? 3. When the polynomial 5x - 2x + 8x^2 - 7 is written in standard form, what is the leading coefficient? My answer: -2? 4. Classify the polynomial 5x^2 + 9x + 1 according to tis degree and ...

### calculus totally confused

find a first degree polynomial function p(1) whose value and slope agree with the value and slope of f at x=c. i think you use taylor series for this f(x)=4/sqrt(x), c=1 i'm totally confused on how to do it. i know you find the derivative but how do i get the function. this is...

### Pre Cal

Due to my child being injured I missed this lecture at class. I am so lost now I read the chapter books but lets face it they don't make those in english. Write a function in factured form, then inexpanded polynomial form, having as zeros 2, -1 and 1 (plus and minus) SQroot of...

### MATH

write, in extended form, a polynomial(with real coefficients) of degree 3, with solutions 2,2-i.

### college algebra

how do I solve this: (17x^3-5x^2+4x-3)-(5x^3-9x^2-8x+11) and putting the resulting polynomial in standard form?

### Algebra

1.what is a polynomial function in standard form with zeros 1,2,-2, and -3 A. X^4+2x^3+7^2-8x+12 B. X^4+2x^3-7^2-8x+12 C. X^4+2x^3-7^2+8x+12 D. X^4+2x^3+7^2+8x+12 I’m guessing B but I’m honestly not sure on what I’m doing

### 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...

### Math

Part 1: 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...

### math

Find the least squares approximation of x over the interval [0,1] by a polynomial of the form a + b*e^x --------------------------------------------------------- The polynomial produces an output space with two linearly independent basis vectors: u1 = 1, u2 = e^x I believe ...

### Math

Part 1: 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...

### 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.

### Math

Write a polynomial function in standard form that has the given zeros and has a leading coefficient of 1 for: -2, 4+i

### math

find complex zeros of the polynomial function. put f in factored form. f(x)=x^3-6x^2+21x-26

### math

Find the complex zeros of the polynomial function, and write f in factored form: f(x)= x^3 - 8x^2 + 30x - 36