Understanding zeroes and factors of polynomials

If 𝒙²+𝟑𝒙+𝟕 is divided by  𝒙-𝟐, then what is the remainder?

• 0

• -3

• 9

• 5

• 17

What is the remainder when n³ - 7 is divided by n + 5 ?

• 118

• 132

• -132

Find the remainder of:
 $\left(2x^3\ -\ 5x\ -7\right)\div\left(x+2\right)$  

• -9

• 11

• -13

• -1

Find the remainder
(2x³ - 5x - 7) / (x + 2)

• -9
• 11
• -13
• -1

What is the remainder when 5x³-14x²-8x+5 is divided by x-3

• -13
• 10
• 13
• -10

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

• -2

• -6

• -12

• 0

 $Given\ x^3-4x^2+5x-2,\ is\ x=2\ a\ zero?$  

(Remainder Theorem, do synthetic)

• yes

• no

• 15

• 139

• 35

• 0

Use the Remainder Theorem to find the remainder for the division problem:

(x³ - 2x² + 6x -6) ÷ (x - 3)

• 21

• 9

• -33

• 0

When x²-bx-16 is divided by x-5, the remainder is 4. Determine the value of b.

• 9

• -4/5

• -1

• 1