Day 31 Factor and Remainder Theorem

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

• -25
• 25
• 113
• -113

For division, what # is in the left
box?

• 0
• 1
• 2
• 3

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0
• 10
• 15
• -7

When p(x) = 9x⁴- 45x³ + 37x² + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?

• p(2) = 656
• p(2) = 652
• p(2) = -64
• p(2) = -368

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0
• 2x-10
• -2x-10
• 2x+10

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

• YES
• NO

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

• Yes
• No

            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 x - 2 is NOT a factor of (2x³ - 5x - 7), what is the remainder?

• -13
• 2x³ + 4x² +3x - 1
• 13/x-2
• -1/x-2

Is (y + 3) a factor of the polynomial: y³ - 6y + 9

• yes

• no

• maybe

• only on Tuesday's