a. Find a third-degree polynomial f(x) with integer coefficients and with zeros of and 4 + 2i. b. Find a polynomial g(x) of lowest degree with zeros of -2 (multiplicity 1) and 4 (multiplicity 3), and satisfying the condition that g(0) = 256.

Q: Find a polynomial function of degree 7 with - 3 as a zero of multiplicity 3, 0 as a zero of…

A: Explanation of the solution is given below...

Q: Form a polynomial f(x) with real coefficients having the given degree and zero  Degree 4; -5+3i; -1…

A: It is known that if a+bi is a zero of polynomial with real coefficients then a-bi also a zero. Given…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

A:

Q: 8. Find a polynomial of degree 4 with integer coefficients and zeroes 3i and 4, with 4 a double…

A:

Q: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. -1 (multiplicity…

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

Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

A: Since the zeros of the polynomial are -1, 2, 3, therefore the factors of fx are, x+1,  x-2  &…

Q: Find a polynomial of degree 3 such that f(0) = 5, f'(0) = 10, f''(0) = 15, and f'(0) = 20. P3(x) =O

A:

Q: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. −1 (multiplicity…

A: We have to find polynomial

Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the…

A:

Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

A: Other zeros of the 5 degree polynomial are to be found.

Q: A polynomial function f of degree 5 whose coefficients are real numbers has the zeros 1 ,5i,and 1+i…

A: A polynomial has zeros 1, 5i and 1+i

Q: If f(x) is a polynomial with real coefficients and zeros of –2 (multiplicity 3), 3 (multiplicity 2),…

A: The polynomial has real coefficients. The multiplicity of a root of a polynomial is the number of…

Q: Find a fourth-degree polynomial function f(x) with real coefficients that has -1, 1, and i as zeros…

A:

Q: 4. Find the polynomial function f(x) of degree 4 with zeros 2 (multiplicity 2) and 3i, f(0) =36

A:

Q: the given degree and zeros. Degree​ 4; ​ zeros: −4−2i;  −1 multiplicity 2

A:

Q: Find a polynomial f(x) of degree 3 that has the following zeros. -4 (multiplicity 2), 3 Leave your…

A:

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3, and…

A: Let Q (x) be a polynomial that has degree 3, and zeros 0 and i. We know that if a+ib is zero of a…

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. - 1, 2,-3…

A:

Q: 9. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and –1, with -1 a…

A: 3i and -1, with -1 a zero of multiplicity 2

Q: Find a fourth-degree polynomial function f(x) with real coefficients that has -2, 2, and i as zeros…

A: If a, b, c and d are the zeroes of the fourth-degree polynomial function f(x). The this…

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

A: Given,          Degree : 4 ; zeros : 3+3i ; -1 multiplicity 2

Q: Write an equation of the 4th degree polynomial function h(x) with real coefficients that meets the…

A: Here given polynomial have degree 4

Q: If f(x) is a polynomial with real coefficients and zeros of 4 (multiplicity 3), –2 (multiplicity 1),…

A: The multiplicity means that the zero of the polynomial is repeating. For example, let's take a…

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 9 (multiplicity 2), -6 Leave…

A:

Q: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions. Zeros of -…

A: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions. Zeros of…

Q: Find a polynomial function f(x) with integer coefficients and leading coefficient 1, such that f(x)…

A: The aim is to find the polynomial function px with integer coefficients and leading coefficient as…

Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the…

A:

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros.   Degree​ 4; ​…

A: Since, conjugate roots always occur in pair so -2-2i is also a root…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. T has degree 4,…

A:

Q: Find a polynomial of degree 3 such that f(0) = 2, f'(0) = 4, f''(0) = 11, and f'''(0) = 22. P3(x) =D

A: To find a polynomial of degree 3.

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions. n =…

A: Given that n = 3And  - 6 and i are zerosAnd f(-3) = 60To find an nth degree polynomial function with…

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions. 15) n…

A:

Q: Find a formula for the polynomial with a zero at x = –1 of multiplicity 2, a zero at a = 1 of…

A: As per guidelines, I'm strict to do only one question. To know rest please reupload particular…

Q: D. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a…

A: The given zeros are 3i,-3i,-1 and -1.

Q: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

A: To find the polynomial

Q: Find a third-degree polynomial function f(x) with real coefficients that has -3 and i as zeros and…

A: Polynomial: The polynomial which has real co-efficient and of third degree. f(x) has three zeros…

Q: Iff (x) is a polynomial with real coefficients and zeros of 4 (multiplicity 3), -5 (multiplicity 1),…

A:

Q: 1. State the degree, leading cocfficient, and end behaviours of cach polynomial function. a) f(x) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find a polynomial f (x) of degree 3 with real coefficients and the following zeros. -3, 2-i

A: We find the polynomial fx of degree 3 with real coefficients and thezeros are -3,2-i

Q: Find a polynomial with integer coefficients that satisfies the given conditions. T has degree 4,…

A: If a complex is a root of polynomial then it complex conjugate is also a root.

Q: Find a polynomial of least degree with only real coefficients and having the given zeros. 2+i, 4 A.…

A: Here we have to find a polynomial of least degree with one real coefficients and having the given…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 3 and…

A:

Q: Find an nth-degree polynomial function with real coefficients satisfying the given condition n = 3;…

A: Our Aim is to find an nth-degree polynomial function with real coefficients satisfying the given…

Q: Find a polynomial function of degree 7 with - 1 as a zero of multiplicity 3, 0 as a zero of…

A: topic - polynomials

Q: Find a polynomial fuction f(x) of degree 3 with real coefficients that satisfies the given…

A: Using the factor theorem: If x = a is a zero of a polynomial P(x), then (x-a) is a factor of the…

Q: Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.…

A: here we us e the linear factors for the zeroes given see below the calculation

Q: Suppose f(x) has zeros at x=−3, x=4, x=5 and a y-intercept of 17.  In addition, f(x) has the…

A: Given that

Q: Find a polynomial g(x) of lowest degree with zeros of −3 (multiplicity 2) and 5 (multiplicity 2),…

A: We have been given that the zero of the polynomial is -3 and 5 with the multiplicity 2

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1…

A:

Q: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1 (multiplicity…

A: Given: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1…