Division of a Polynomial Function

What is k in the given synthetic division pattern?

• x+7

• x+2

• X-10

• X-7

• This is correct
• This is incorrect

(x³-8x²+6x+41)÷(x-4)

• x²-4x-7, R 2

• x²-4x-11, R 1

• x²-2x-12, R 3

• x²-4x-10, R 1

(m³-7m²-24m-62)÷(m-10)

• m²+3m+6, R 2

• m²+3m+4, R -4

• m²+3m+6, R -2

• m²+3m+3, R 1

(5x³+36x²+45x+58)÷(x+6)

• 5x²+6x+9, R 4

• 5x²+9x+8, R 3

• 5x²+9x+8, R -1

• 5x²+8x+9, R 4

(8b³+2b²-19b+19)÷(b-1)

• 8b²+10b-9, R 10

• 8b²+9b-7, R 15

• 8b²+9b-12, R 10

• 8b²+9b-11, R 13

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

Divide.

• (x + 4)/(x + 3)

• x + 5

• x + 4  R 5

• x + 4 R -5

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

• -2

• -6

• -12

• 4