Synthetic Division

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

Divide using synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208

Tags

CCSS.HSA.APR.D.6

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

• 0

• -3

• 9

• 5

• 17

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4 R(-12)

• 2x² - 2x + 6 R(-23)

• 2x² - 2x + 8 R(-20)

• 2x² - 4x + 1 R(0)

• 2x² - 2x + R(1)

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

• 3   0   -4   6   1
• 6   -4   3   1   0
• 6   -4   0   3   1
• -6   4   0   -3   -1

Tags

CCSS.HSA.APR.D.6

Use synthetic division to divide the following polynomials:

3x³ - 2x² - 7x + 6 ÷

x + 1

• 3x³ - 5x² - 2x + 8

• 3x² + x - 6

• 3x² - 5x - 2 + ⁸/_x+1

• 3x³ + x² - 6x

• 3x² - 5x - 12x + ¹⁸/_x+1

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

Tags

CCSS.HSA.APR.D.6

Divide the following:

(n³ + 10n² + 31n + 32) /(n +6)

• n² + 4n + 5, remainder -12

• n² + 4n + 8, remainder -14

• n² + 4n + 7, remainder -11

• n² + 4n + 7, remainder -10

Use synthetic division:

• A

• B

• C

• D

Find k so the the remainder is 1:

4x⁴+kx³-9x²-x+3 ÷ x-1

• 2

• -4

• 8

• 4

• 0