Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

4, -2, and -1 + 2i

f(x) = x4 - 7x2 - 26x - 40

f(x) = x4 - 3x3 - 8x2 - 13x - 40 < answer i chose

f(x) = x4 + 6.5x2 - 26x - 40

f(x) = x4 - 3x3 + 8x2 + 13x + 40

Answer 1

Since you have -1 + 2i as a root, you will have -1 - 2i as a root also to get real coefficients, so your factored polynomial will be (x + 1 - 2i)(x + 1 + 2i)(x - 4)(x + 2)

Multiply that out and you will have your answer.

Answer 2

okay so x^4-7x^2-26x-40

Answer 3

That was fast! Yes! You got it!

Answer 4

Thank you...again lol!

Answer 5

you're welcome!