Writing Polynomial Functions from Complex Roots

Question 1

The corresponding polynomial function is

Revolt · Accepted Answer

f(x) = x2 + 4x - 5

Question 2

A polynomial function has roots –5 and 1. Which of the following could represent this function?

Revolt · Accepted Answer

f(x) = (x + 5)(x – 1)

Question 3

A polynomial function that has roots 1 and 3 + i.The complex conjugates theorem states that must also be a root.

Revolt · Accepted Answer

3 – i

Question 4

Write the 4th degree polynomial function shown by the graph.The factors of the polynomial functions are .

Revolt · Accepted Answer

(x + 3)(x + 1)(x – 2)(x – 3)

Question 5

Which polynomial functions have only the roots 1 and 6? Check all that apply.

Revolt · Accepted Answer

f(x) = (x – 1)(x – 6); f(x) = 3(x – 1)(x – 6); f(x) = 6(x – 1)(x – 6)

Question 6

Which polynomial function has a root of 1 with multiplicity 2 and a root of 6 with multiplicity 1?

Revolt · Accepted Answer

f(x) = (x – 1)(x – 1)(x – 6)

Writing Polynomial Functions from Complex Roots Answers