Construct a polynomial function with the following properties: fifth degree, 3 is a zero of multiplicity 3, -2 is the only other zero, leading coefficient is 4.

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

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Q: Consider the polynomial function f(x) = x - 3x3 + 3x? whose domain is (-0, 0). Find the following:

A: d) The given function  fx=x4-3x3+3x2 Differentiate with respect to x f'x=4x3-9x2+6x       =x4x2-9x+6…

Q: Construct a polynomial function with the following properties: fifth degree, 44 is a zero of…

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Q: Compute the zeroes of the polynomial 4x2 - 4x -8 also establish a relationship between the zeroes…

A: Given Polynomial 4x2-4x-8 = 4x2-8x+4x-8  = 4x(x-2)+4(x-2) = (4x+4)(x-2) In order to find the zeros…

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

A: Let Px be the polynomial with zeros -1 and 5 and goes to -∞ as x→-∞ So we have to find px

Q: Sketch the graph of the function h(x) = 3x2 − x4 by (a) applying the Leading Coefficient Test, (b)…

A: The term with the highest power is the most influential in plotting the graph of the function thus…

Q: Write a polynomial f(x) that meets the given conditions. Polynomial of lowest degree with zeros of…

A: x=-1 is a zero so (x+1) is a factor. It has multiplicity = 2 , so (x+1)^2 is a factor of the…

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

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Q: When a polynomial function f is divided by x - c, theremainder is_______

A: Give a polynomial function f is divided by x - c

Q: Determine whether the following statement is true or false. If false, explain why. A polynomial…

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Q: Write a polynomial f(x) that meets the given conditions Degree 4 polynomial with zeros 4, 7/2 (each…

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Q: Find a polynomial f(x) of degree 3 that has the following zeros. 5, 1, -6

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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: What degree polynomial is g(7) (x) for the function g (x) + 4x19 you know? (You don't have to…

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Q: Does there exist a polynomial of degree 3 with real coeffi- cients that has zeros 1, -1, and i?…

A: Zeros of the polynomial are 1, -1  and  i. Since the complex roots occur in conjugate pairs,…

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

A: If a is a zero and m is the multiplicity, we can write it as (x-a)m

Q: A rectangular field is twice as long as its width. If 3 feet are taken from the width, and 4 feet…

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Q: Find a polynomial f (x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: We have to find a polynomial f(x) of degree 4 that has the following zeros  8,-1,-1,0 i.e x =…

Q: Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

A: Solve for get function

Q: Write a polynomial function with minimum degree andleading coefficient 1 that has zeros x =…

A: If  zero is a and its multiplicity is m, we can write it as (x-a)m

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

A: Given information: Third degree, 4 is a zero of multiplicity 2, -1 is the only other zero, leading…

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

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0,-3, -8 Leave…

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Q: Write a polynomial f(x) of degree 3 that has the zeros 2" * V6, and - V6.

A: fx is a polynomial of degree 3 that has zeros 12, 6 and -6. The factors are 2x-1,  x-6  &  x+6.

Q: Write a polynomial f(x) that satisfies the given conditions. polynomial of lowest degree with zeros…

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Q: A polynomial function with leading term 9x^2 has degree....

A: We have to tell the degree of polynomial function with leading term 9x2

Q: Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

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Q: What is the leading coefficient of a third degree polynomial function that has an output of 1272…

A: Given zeros of the third-degree polynomial, -6, 7i, and -7i

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

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Q: Find a polynomial function of degree 3 that has zeros 1, -2, and 3 and in which the coefficient of x…

A: We need to find the a polynomial function of degree 3 that has zeros 1, -2, and 3 and in which the…

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

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

A: Given :  Polynomial is of degree 3. 2 is a zero of multiciplity 2. -1 is the other zero. Leading…

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

A: We have to find zeros

Q: Find a polynomial function of degree 4 with the zeros - 1 (multiplicity 2) and 1 multiplelty , whose…

A: Given that , a polynomial function of degree 4 with the zeros-1 multiplying 2 and 1multiplying 2…

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

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Q: Construct a polynomial function with the following properties: fifth degree, 22 is a zero of…

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Q: Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and…

A: Here we need to find cubic polynomial with complex zeros x=-i, x=-19

Q: Find the formula for a third degree polynomial with a zero at x = -5, a double zero at x = 3, and y…

A: Given that the polynomial has a zero at x=-5 So (x+5) is a factor of polynomial. Given that the…

Q: Determine the multiplicity of 1 as a root of a polynomial f(x) = x³ 3x¹ +4x³ − 4x² + 3x − 1

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Q: write the polynomial f(x) that meets the given conditions polynomial of lowest degree with zeros of…

A: From the given condition, it is observed that the zeros are -2, -2, 3, 3 and f(0) = -108.Note that,…

Q: find the maximum number of real zeroes of the polynomial  f(x)=-2x7-3x8-6-5x5

A: Given by f(x)=-2x7-3x8-6-5x5 f(-x) = 2 x^7 – 3 x^8 –6 + 5x^5 There are  three changes s, three…

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

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

A: If a is a zero of any polynomial ,then (x-a) is a factor of that polynomial. If b is a zero of any…

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

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

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

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Q: Show that the polynomial function f(x) = 3x3 - 10x + 9 has a real zero between -3 and -2.

A: Given that, fx=3x3-10x+9