The Fundamental Theorem of Algebra

Question 1

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 2

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)

Question 3

B =

Revolt · Accepted Answer

16

Question 4

C =

Revolt · Accepted Answer

-10

Question 5

Complete the statement.The polynomial function f(x) = ____.

Revolt · Accepted Answer

(x + 2)(x + )(x - )

Question 6

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 7

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 8

Use the fact that the graph passes through (0,36) to find the coefficient a in f(x) = a(x + 3)(x + 1)(x - 2)(x – 3) a=

Revolt · Accepted Answer

2

Question 9

The polynomial function of least degree with a leading coefficient of 1 is:f(x) = x3 + Ax2 + Bx + CA =

Revolt · Accepted Answer

-7

The Fundamental Theorem of Algebra Answers