you are asked to create a fourth degree polynomial function with real zero of -2 and 2 both with a multiplicity of 1 and a real zero of 3 with a multiplicity of 2.  The function also passes through the ordered pair (1, 4).

Q: Establish an iterative procedure to determine the root of the polynomial y = f(x) = x³ + 2x – 4

A: Iterative method.

Q: Why is a third-degree polynomial function with a negative leading coefficient not appropriate for…

A: We know that a third-degree polynomial with a negative leading coefficient when used to model…

Q: Determine an equation in fortored form for a polynomial function with zeros x=-3 (order 2) and x = 2…

A: We have to determine an equation in factored form for a polynomial function with zeros: x=-3 order 2…

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: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: Find the third degree polynomial function that has an output of 16 when x=2, and has zeros 1 and -2i

A: We have to find  a third degree polynomial function that has an output of 16 when x=2, and has zeros…

Q: Every polynomial function of odd degree with realcoefficients has at least real zero(s).

A: Definition used -        All polynomial functions of positive, odd degree have at least one zero,…

Q: Find a fourth degree polynomial with real coefficients that has zeros of -3, 2, i that passes…

A: Let us consider a fourth-degree polynomial:

Q: Find a polynomial function of degree 4 with -3 as a zero of multiplicity 3 and 0 as a zero of…

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

A:

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

A:

Q: Sketch the graph of a fifth-degree polynomial function whose leading coefficient is positive and…

A: Consider the provided information, The zeros at x=3 of multiplicity 2. That is x-32 The standard…

Q: Is it possible for a polynomial to have two local maxima and no local minimum? Explain.

A: Maxima and minima: Functions make hills and valleys when they reach a minimum or maximum value in…

Q: Find the equation of a 4th degree polynomial that has zeros at x=-7x=−7,  x=2x=2,  x=3x=3  and…

A: Given that, Polynomial has zeros at x = -7, x = 2, x = 3, x = 4 and we have to find the polynomial…

Q: A 4th degree polynomial has zeros -5, 3, i, and -i. Which could represent the function defined by…

A: here it is given that A 4th degree polynomial has zeros -5,3, i and -i

Q: Give one example of a polynomial of degree 4 that has a zero at x=5 with multiplicity 2 (there is…

A:

Q: Why is a third-degree polynomial function with a negative leading coefficient not appropriate for…

A: Note that a third-degree polynomial with a negative leading coefficient that used to model real-life…

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: f is a polynomial function of degree 4 whose coefficients are real numbers; two of its zeros are - 3…

A: Consider the provided information, If the polynomial fx with real coefficients and have complex zero…

Q: Determine a possible 3rd degree polynomial function in factored form with its only (3, 0) and (-2,…

A:

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: If the leading coefficient of an odd-degree polynomial function is positive, then the function…

A: Given: If the leading coefficient of an odd-degree polynomial function is positive, then the…

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: Write a polynomial f (x) that satisfies the given conditions. 1 1 (multiplicity 1) and with f(0) =…

A: f(x)=ax+15x+15x-12 f(0)=a·15·15·-12 1 = -a50 a = -50

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

A: Calculation:

Q: sketch the polynomial function by finding all the critical values. g(x)=x4-4x3-15x2+58x-40

A: given, g(x)= x4-4x3-15x2+58x-40 we have to find the all critical values and sketch the polynomial…

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

A: We have to find

Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1,4 for which f(-2) =18

A:

Q: Here is the graph of a polynomial function with degree 3. Select all of the statements that are true…

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: Give one example of a polynomial of degree 4 that has a zero at x = 5 with multiplicity 2. (There is…

A: Given: The given degree for the polynomial is 4. the given zero of the polynomial is x=5.…

Q: Find a polynomial function of degree 6 with -2 as a zero of multiplicity​ 3, 0 as a zero of…

A: Given that:    A Polynomial of degree 6 with -2 as a zero of multiplicity 3, 0 as a zero of…

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

A:

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: Polynomial of lowest degree with zeros of -2 (multiplicity 2) and 3 (multiplicity 2) and with f (0)…

A:

Q: How many turns would be there in the polynomial function of degree 3?

A: Concept: Various graph of diffrent polynomials is explained below:

Q: Suppose​ f(x) is a 7th degree polynomial. Using a few complete​ sentences, explain why we are…

A: Given f(x) is a 7th degree polynomial.  Recall: fundamental theorem of algebra:  If f(x) is a…

Q: Which type of polynomial satisfies f ,,, (x) = 0 for all x?

A: Let f(x) be a polynomial such that f'''(x)=0 for all x Integrating both sides ,we get Again…

Q: What is the end behavior of a polynomial function of degree 7 with leading coefficient -2?

A: Given: The polynomial function have a degree 7 and leading coefficient is -2. Concept used: The end…

Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

Q: Here is the graph of a polynomial function with degree 4. Select all of the statements that are true…

A: Observe the given graph of polynomial and then explain according to given options.

Q: Find the general polynomial function of lowest possible degree with real number coefficients that…

A:

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

A: We have to solve

Q: Give one example of a polynomial of degree that has a zero at x=5 with multiplicity 2

A: zero at x=5 with multiplicity 2

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

A: