write a polynomial function of minimum degree in standard form with real coefficients whose zeros include -2 and 1+2i

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: 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: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: Given: Zeros of the polynomial=-1,1,3 Degree=3

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

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

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Q: Find a polynomial function with the given real zeros whose graph contains the given point.Zeros: -…

A: Given: Zeros: -2,3,5Degree: 3Point: 2,36 To Find: Polynomial function satisfying the above given…

Q: A polynomial function is written in ________ form when its terms are written in descending order of…

A: Polynomial Function: A polynomial function is defined as an equation/expression consisting of…

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: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: The given zeroes are -3,0,4. Then the factors are x+3, (x-0) and (x-4).

Q: Sketch a graph of any cubic polynomial function thathas a negative leading coefficient and one…

A: suppose, we have a polynomial function, y=-2x-2x2+1

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

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Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: Given, zeros:-4,-1,2,3 so x=-4,-1,2,3 are root of equation then factor of equation is x+4x+1x-2x-3=0…

Q: Find a formula for the polynomial of least degree that is graphed below

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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

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Q: Find a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: A third degree polynomial with zeros -2, 2 & 3. Since the zeros are -2, 2 & 3, therefore the…

Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: Given that, Zeros: -3, -1, 2, 5 Degree: 4

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: The zeros of a third degree polynomial function are 0, 2,–3. Write a possible equation for the…

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Q: Write a polynomial with zeros 0,-3, and 2 with multiplicities 2. 1, and 2, respective What is its…

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Q: Find a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

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

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

A: A polynomial in a variable x is a function of the form f(x)=anxn+an-1xn-1+···+a1x+a0. A point x=a is…

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: Write a polynomial function in standard form with the given zeros. (show work) x = 4, 2, -3, 0

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Q: Find a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: -3, -1, 2, 5 and degree 4

Q: Find a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: The general equation of a 3-degree polynomial function with zeros is written as…

Q: Sketch a graph of the polynomial function. Locate and label all intercepts. y =-2(x-1)* (x+2)(x-4)

A: Sketch a graph of the polynomial function.Locate and label all intercepts.      y=-2x-12x+2x-4

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

A: We have to find

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: function

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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: Write a polynomial function in standard form with the given zeros. (show work) x = -3, 0, 0, 5

A: Zeroes are : x=-3,0,0,5 we can write equation of polynomial as below: (x-(-3))(x-0)(x-0)(x-5)

Q: write polynomial function in standard form with real coefficients whose zeros include 1, 7i,-7i

A: Given zeros are 1, 7i, -7i Find the polynomial function in standard form.

Q: Write a polynomial function in standard form with zeros -3, 2, 2.

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Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the…

A: General form of an equation with degree 3 and roots a,b,and c can be written as(x-a)(x-b)(x-c)=0

Q: Write a polynomial function in standard form with the given zeros. (show work) x = -1, 5, -2

A: Given :   the zeros are x=-1, 5 -2Let p(x) be the polynomial…

Q: Given a polynomial function of degree 6, explain how many minimum or maximum values and how many…

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Q: Construct a polynomial function with third degree and zeros of -3,-2,1 and passes through point…

A: We will construct the polynomial as following.

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: The x-intercepts of the graph of a polynomial function are called turning points.

A: See attached file for a step by step explanation.

Q: Sketch a graph of any cubic polynomial functionthat has a negative leading coefficient and…

A: Consider a cubic polynomial P(x)=-2x3+3x2+11x-6 . This polynomial can be written in factored form as…

Q: - -2x4 + x - 2x² + 3x – 1.

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Q: Sketch a graph of a polynomial function with the degree with two real zeros and a

A: Let us consider two real zeros at same point will be at x=2, 2 Now, We form a polynomial function…

Q: Determine an equation, in factored form, for an even polynomial function with a turning point at…

A: Given that the turning point of the function is (2,0).

Q: 5) 1, -4, 0, -1

A: We have to solve

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: Write a polynomial function in standard form with the given zeros. x = 3 1 -1

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