Factoring Cubes and Remainder and Binomial Theorem

Is (x-3) a factor of

(x³ - 3x² + 2x + 2)?

• Yes

• No

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

• YES

• NO

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

If 𝒙²−𝟓 is divided by 𝒙−𝟐, then what is the remainder?

If 𝟐x²+𝟏𝟎 is divided by 𝒙−𝟏, then what is the remainder?

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

Use synthetic division to determine f(-3), if

f(x)= (3x³ -5x² -4x +1).

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

• 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. 

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