The Remainder 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

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      a³ - 4 is divided by a+2? 

• -2
• -6
• -12
• 0

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

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

• -25
• 25
• 113
• -113

If a polynomial p(x) is divided by a linear divisor (x-a), then the remainder is

• p(a)

• p(1)

• p(0)

• p(x)

If (x-1) is a factor of x³ -kx² + 11x -6, then the value of k should be

When 3x³ - 10x² + 13x - 6 is divided by x-2, the remainder will be

factor each completely. x ³ – 9 x ² + 26 x – 24

• ( x – 2)( x + 3)( x – 4)

• ( x – 2)( x - 3)( x – 4)

• ( x + 2)( x – 3)( x – 4)

• ( x + 2)( x + 3)( x + 4)