Polynomial Long Division and Remainder Theorem

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• 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. 

If x - 2 is NOT a factor of (2x³ - 5x - 7), what is the remainder?

• -13

• 2x³ + 4x² +3x - 1

• 13/x-2

• -1/x-2

find the value of k when x³-2kx²+3x-1 is divided by x-1 and the remainder is -3

• 3

• -3

• 2

• 6

Divide

(n² + 10n + 18) by (n + 5)

• n + 4 Remainder of 2

• n - 7 Remainder of 5

• n + 5 Remainder of -7

• n + 1 Remainder of 0

What is the remainder if (x³ - 5x² + 2x - 10) is divided by (x - 5)?

• 0

• 4

• 7

• -1

Is this division problem worked correctly?

• This is correct!

• This is incorrect, and error occurs on the 2nd line!

• This is incorrect, and the error occurs on the 4th line!

• This is incorrect, and the error occurs on the 3rd line!

• This is correct
• This is incorrect

What is the remainder of (x³ - 5x² - 8x +1) ÷ (x + 1)?

• -13

• 1

• 3

What is the remainder when x⁴ - 5 is divided by x + 3?

• 76

• 81

• 7

Find the values of a and b if when P(x) = x^4 + ax^2 + bx + 2 is divided by x^2 +1 the remainder is -x + 1.

• a = 2, b = 1

• a = -1, b = 2

• a = 1, b = 2

• a = 2, b = -1