1) Determine whether the indicated real number is a zero of the given polynomial function f.

2; f(x) = 2x³ 11x² + 20x 12

Yes, 2 is a zero.No, 2 is not a zero. If yes, find all other zeros. (If no, enter NA. Enter your answers as a comma-separated list.) x = If yes, give the complete factorization of f(x). (If no, enter NA. Do not attempt the factorization of f(x) if the indicated real number is not a zero.) f(x) =

2) Determine whether the indicated real number is a zero of the given polynomial function f.

2; f(x) = x³ 4x² 2x + 20

Yes, 2 is a zero.No, 2 is not a zero. If yes, find all other zeros. (If no, enter NA. Enter your answers as a comma-separated list.) x =

If yes, give the complete factorization of f(x). (If no, enter NA. Do not attempt the factorization of f(x) if the indicated real number is not a zero.) f(x) =

3) One factor of

f(x) = x³ 7x² 20x + 96 is x 3.

What are the zeros of f(x)? (Enter your answers as a comma-separated list.) x =

4) Use division to show that the indicated polynomial is a factor of the given polynomial function f.

(x 4)(x 1); f(x) = x⁴ 5x³ + 8x² 20x + 16

Yes, the indicated polynomial is a factor of the given polynomial function.

No, the indicated polynomial is not a factor of the given polynomial function.

Find all other zeros. (If there are no other zeros, enter NA. Enter your answers as a comma-separated list.) x =

Give the complete factorization of f(x). f(x) =

5)Verify that the indicated complex number is a zero of the given polynomial function f.

4i; f(x) = 5x³ 7x² + 80x 112

Yes, 4i is a zero.

No, 4i is not a zero. Use the Conjugate Zeros Theorem and long division to find all other zeros. (If there are no other zeros, enter NA. Enter your answers as a comma-separated list.)Conjugate Zeros Theorem: Let f(x) be a polynomial function of degree n > 1 with real coefficients. If z is a complex zero of f(x), then the conjugate z is also a zero of f(x).

x =

Give the complete factorization of f(x).

f(x) =