The Remainder and Factor Theorem

find the remainder R in (x^4 – x^3 + 2) / (x + 2)

• 14

• 16

• 26

• 0

find the remainder R in (x^2 – x + 2) / (x -2)

• -4

• -2

• 2

• 4

find the remainder R in ( x^2 + 2x+ 4) / (x -1 )

• 0

• 6

• 7

• 8

find the remainder–4x^3 + 5x^2 + 8 / (x-3)

• -55

• 50

• 55

• 65

find the remainder in 7x^3 -9x^2 -90

• 9

• 16

• 18

• 20

If 2 is a root of x³ - 3x² + 2x + 2, then when the polynomial is divided by x-2, it produces a remainder of ?

• 0

• 2

• 8

• 26

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

• yes, the remainder is 0

• no, the remainder is 52

• no, the remainder is 2

• yes, the remainder is -3

Let f(x) = 4x² -33x -27.  Is k = 9 a zero of the function?

• yes, the remainder is 0

• no, the remainder is 9

• yes, the remainder is 9

x³-3x²-10x+24 ÷ x+3

• x²-7x+5

• x-8

• x²-6x+8

• x+9

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