List all the zeros of the polynomial function f (x) =x* - 2r* - 6x²+22x – 15 Show all work,

Q: sketch the polynomial function by finding all critical values. f(x)=x4-x3-20x2

A: Consider the function: fx=x4-x3-20x2 Differentiate the given function with respect to “x” then,…

Q: Find all zeros of the polynomial.

A:

Q: Describe how to use Descartes’s Rule of Signs to determine the possible number of positive real…

A: Descartes' Rule of Sign – It is used to determine the number of real zeros of any given polynomial…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A:

Q: Determine the polynomial function of third degree whose zeroes are  3,7,7

A:

Q: It is possible for a third-degree polynomial function with integer coefficients to have no real…

A: To find whether the statement is true or false  Given, a polynomial of degree 3 with integer…

Q: Find the upper and the lower bound of the zeroes of each polynomial function. Given Upper bound…

A: As per our guidelines we are supposed to solve only three sub part of the problem. For the solution…

Q: Find a polynomial function that has the given zeros.−2, −1, 0, 1, 2

A: To Find a polynomial function that has the given zeros Given that the zeros are −2, −1, 0, 1, 2.

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A:

Q: Explain how to use the Leading Coefficient Test to determine the end behavior of a polynomial…

A: Solution: Consider we have to given that the leading coefficient and we have to test the behavior of…

Q: A 36-cm wire is cut into four pieces to form a rectangle with width x cm. a. Write a polynomial…

A:

Q: Construct a polynomial function with the following properties: fifth degree, 3 is a zero of…

A: Given information :- Construct a polynomial function with the following properties fifth degree, 3…

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 3x - 8x² +4 has a real zero…

A: Substitute the value of -1 and 0 in f(x).

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) = 4x* - 7x2 + 2 has a real zero…

A: topic - intermediate value theorem

Q: construct a polynomial function f with the given characteristics.     Zeros: - 4, - 1, 2; degree 3;…

A: zeroes of the polynomial are -4,-1,2 which means (x+4)(x+1)(x-2)are the factors of required…

Q: P(x) = (2x – 1)(x + 1)(x + 3) %3D

A:

Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: We have to construct the polynomial using given properties.

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

A: Let the polynomial be p(x). Now as 4 is a zero of p(x) of multiplicity 2, so (x-4)² is a factor of…

Q: Find the polynomial function with -1 as a zero of multiplicity 2, 1of multiplicity 2, and going…

A: If the root x=a has a multiplicity of n then one of the factor of function is (x-a)n.

Q: Expand: Write as a polynomial. (2x - 3y)

A: Given,2x-3y4=2x-3y22Using,a-b2=a2+b2-2abtherefore,=2x2+3y2-22x3y2=4x2+9y2-12xy2Now,using,a+b+c2=a2+b…

Q: Differentiate the function f (x) = (3x2 + x - 2)2 in two ways. (a) Use the general power rule. (b)…

A: To differentiatef(x)=(3x2+x-2)2 in two ways

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

A: For any polynomial having roots (a,bc,d) We can write polynomial as (x-a)(x-b)(x-c)(x-d)

Q: find the polynomial function with the given zeros whose graph passes through the given point.…

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Q: What are the zeros of a polynomial function and how are they found?

A: Let f(x)=anxn+an-1xn-1+⋯+a3x3+a2x2+a1x+a0  be a polynomial of degree n. A root or a zero of a…

Q: Sketch the graph of the function f(x) = −5x2 − x3 by (a) applying the Leading Coefficient Test, (b)…

A:

Q: Determine whether the given statement is true or false :"There is more than one third-degree…

A: Given: Statement: "There is more than one third-degree polynomial function with the same three…

Q: P(x) = -(x – 3)²(x + 1)²

A:

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: We have to find

Q: identifying all intercepts and end behavior.  y=(x+1)(x-4)(x-2)^

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Q: Find all zeros of f(x) = -x4 + 4x3 - 4x2.

A: It is given that, f(x)=-x4+4x3-4x2 We have to find all zeros.…

Q: 4. Describe the left-hand and right-hand behavior of the polynomial function f(x) = 2x² +6x² Left…

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Q: Find all zeros of the function f(x) 12x – 55x2 – 27x + 10. Enter the zeros separated by - commas.

A: find the zeros

Q: 4. Explain and show all the possible number of x-intercepts (zeros) for a polynomial function with a…

A: Given: A polynomial function of degree 3.

Q: Construct a polynomial function with the following properties: fifth degree, 4 is a zero of…

A:

Q: There is more than one third-degree polynomial function with the same three x-intercepts.Determine…

A: To check given statement There is more than one third-degree polynomial function with the same three…

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial…

A:

Q: Please help me find the polynomial function with the following zeros x= -4, x= 5, x=3, x=2

A: The polynomial is

Q: list the potential rational zeroes for this polynomial function f(x)= 3x^5 - x^2 + 2x + 24

A:

Q: Determine Number of Zeroes Num of the Polynomial function: F(x)=x²₁²-9x Zero (5)

A: We have to find zeros

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

A:

Q: What is the polynomial function of least degree whose only zeros are -3,-2, and 4? Drag a value to…

A: Here we find the polynomial function of least degree whose only zeros are -3,-2 and 4

Q: Write a polynomial function with the roots/zeros: 0 (with multiplicity 3), -1/2, 3/4, 7i√2, and…

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Q: Write a polynomial function in standard form with the given zeros. (show work) x = -6, 0

A: We have to write a polynomial function in standard form with the given zeros  x = - 6 , 0 Since,  x…

Q: 54. y 5+ -5 -4 -3 2 -1 2 3 4 5 -2- -3- -4+ -5+ 4. 2. 1.

A: We have to find the minimum degree polynomial function from the given graph.

Q: - -2x4 + x - 2x² + 3x – 1.

A:

Q: If f is a polynomial function, and f(a) and f(b) have opposite signs, what must occur between a and…

A: If we consider geometric interpretation of f, then it be more easier. (I)   As f(a) and f(b) have…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Given  zeros of polynomial x= -1 and x= 4

Q: What is a cubic polynomial function in standard form with zeros -4, -5, and 4?

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.