Synthetic Division, Remainder Theorem and Factor Theorem

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

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even
• Ask the person sitting next to me
• Use synthetic division and see if the remainder is zero
• Flip a coin

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

• YES
• NO

What is the proper way to write the answer for the following problem? 

• 2x³-x²-25x-12
• 2x⁴-x³-25x²-12x+0

What is the remainder when (2x³ - 5x² + 3x + 7) is divided by (x - 2)?

• 0

• 1

• 9

• -23

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8
• 9
• 5
• 3

What is the remainder when      a³ - 4 is divided by a+2? 

• -2
• -6
• -12
• 0

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

• -25
• 25
• 113
• -113

For division, what # is is used as the divisor in synthetic division?

• 0

• 1

• 2

• 3

Which term is missing in the dividend of this problem?

(2x³ + 5x² + 9) ÷

(x + 3)

• x⁴

• x³

• x²

• x