Writing Polynomial Functions from Complex Roots

Question 1

Which polynomial function could be represented by the graph below?

Revolt · Accepted Answer

f(x) = –2x3 – 2x2 + 12x

Question 2

If a polynomial function, f(x), with rational coefficients has roots 3 and , what must also be a root of f(x)?

Revolt · Accepted Answer

Negative StartRoot 7 EndRoot

Question 3

Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?

Revolt · Accepted Answer

f(x) = –x2 + 8x – 16

Question 4

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?

Revolt · Accepted Answer

f(x) = x4 – 3x2 – 4

Writing Polynomial Functions from Complex Roots Answers