Synthetic Division and Factor Theorem

Use the factor theorem to determine if (x - 9) is a factor of f(x).

• Yes, it is a factor.

• No, it is not a factor.

Use the factor theorem to determine if (x + 1) is a factor of f(x).

• Yes, it is a factor.

• No, it is not a factor.

Use synthetic division to determine whether the first polynomial is a factor of the second.

• Yes

• is

• No

• is not

Divide by using synthetic division

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

Divide by using synthetic division

Use synthetic division to determine whether the first polynomial is a factor of the second.

• No

• is

• is not

• Yes

• Yes

• No

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO