Factor Theorem and Long 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. 

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

• Yes, because the remainder is 1

• No, because the remainder is 1

• Yes, because the remainder is 0

• No, because the remainder is 0

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

• x + 1

• x + 2

• x + 5

• x + 10

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes

• No

Is (x-8) a factor?

• A

• B

Is (m+5) a factor?

• A

• B

What is the proper way to write the answer for the following problem? The division problem started with x⁴.

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x+0

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

Divide

(n² + 10n + 18) by (n + 5)

• n + 4 Remainder of 2

• n - 7 Remainder of 5

• n + 5 Remainder of -7

• n + 1 Remainder of 0

Answer the following:

• 3

• 1

• -12

• Can't be determined.