Quiz #1 Review: Polynomial Division

Factor the Trinomial:
x² - 8x + 15

• (x + 5) ( x + 3)
• (x - 5) (x - 3)
• (x + 15) (x - 1)
• (x - 7) (x - 8)

Factor the polynomial:
5x² - 13x + 6

• (x + 3)(5x - 2)
• (x - 2)(5x - 3)
• (x + 2)(5x + 3)
• (x - 3)(5x + 2)

Find the remainder if you divide

(3x³ + 5x - 1) by (x + 1).

• 9

• -9

• 7

• -7

If dividing polynomial g(x) by (x +2) yields a remainder of 0, which must be true?

• g(-2) = 0

• g(2) = 0

• g(0) = 2

• g(0) = -2

            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. 

If P( -4) = 0, which of the following statements is true about P(x)?

• x+4 is a factor of P(x)

• P(x) = 0, has four negative roots

• 4 is a root of P(x) = 0

• P(0) = - 4

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25
• 25
• 113
• -113