Synthetic Division Alg2

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

• 0

• -3

• 9

• 5

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

Divide using synthetic division:

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/(x - 2)

• 2x² - 9x - 15 - 23/(x - 2)

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0

• 2

• 4

• 6

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)

(x³ - 3x² - 10x +24) ÷ (x + 3)

• x²-7x+5

• x-8

• x²-6x+8

• x+9

(4x⁴ + 4x³ - 9x² - x + 2) ÷ (x - 1)

• 4x³+8x²-7x-2

• 4x³+19x²-x-2

• 4x³+8x²-x-9

• 4x³+8x²-x-2

What is the polynomial dividend represented by the synthetic division?

• 2x³ - 9x² - 21x + 88 + R48

• 2x⁴ - 9x³ - 21x² + 88x + 48

• 2x⁵ - 9x⁴ - 21x³ + 88x² + 48x

(2x³ - 5x - 7) ÷ (x - 2)

Use synthetic division.

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 + -13/(x-2)

• 2x² + 4x + 3 + -1/(x-2)