write a polynomial function of minimum degree in standard form with real coefficients whose zeros include 1, -2, and 3i

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.…

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

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Q: Write a polynomial function in standard form with zeros at 5, –4, and 1.

A: The zeros of the polynomial at x=5, -4, and 1. To find the polynomial. Since if x=a is a zero of…

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: 10. Write a 3rd degree polynomial function with zeros: -4, 6i

A: Given: Zeroes of a polynomial which are -4, and 6i. The complex roots always lie in pairs, if one…

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

A: Zeroes: -2,2,3, degree=3

Q: How do I find a polynomial function with given zeros and multiplicities?

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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: Find all real zeros of the polynomial function, n

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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: What is the smallest-degree polynomial that has at least one maximum and one minimum?

A: Consider a polynomial of degree 3. Consider that the derivative of a third degree polynomial is a…

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: 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: The zeros of a polynomial function are also known as: a) the minimum or maximum values b) the…

A: The zeros of a polynomial function are some values of the polynomial for which the polynomial will…

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: 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: Find a polynomial function of degree three with numbers 3, 5, -2 as zeros of the polynomial.

A: Calculation:

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 1/3, √3, and -√3

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Q: Write a fifth-degree polynomial in factored form that approaches positive infinity as x approaches…

A: Please refer the attached image for complete solution. THANK YOU.

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: The zeros of quartic polynomial function are 2, 7. -2. 4, and -4. Use the zeros to construct a…

A: Given that: Zeroes of a quartic polynomial function are:  2, -2, 4, -4

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

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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: 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: The graph of polynomial function f(x)=a(x+1)^2(x−2) passes through point (0,2). Find the value of…

A: The graph of polynomial function f(x)=a(x+1)2(x−2)passes through point(0,2)

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

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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: Write a polynomial function of minimal degree with the zeros 1+2i and 2 (multiplicity 3). Simplify…

A: The polynomial has zero 1+2i and 2 If the polynomial has zero at a,  then it has a factor x-a. Let…

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: Determine an equation of a polynomialwith a degree of 4, zeros located at (4,0) and (3,0) and a…

A: Given, about polynomial Degree=4 zeros =(4,0), (3,0) y intercept = (0,96)

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

A: We have to solve

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

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