Synthetic Division

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

Tags

CCSS.HSA.APR.D.6

(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

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

• 3x³ - 5x² - 2x + 8
• 3x² + x - 6
• 3x² - 5x - 2 + 8/x+1
• 3x³ + x² - 6x

Tags

CCSS.HSA.APR.D.6

(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

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

• x²-5x-6+(-4/x-2)
• x²-5x-7+(-3/x-2)
• x²-5x-9+(-1/x-2)
• x²-5x-7+(-5/x-2)

• k³+9k²+6k+4+(-9/k+10)
• k³+9k²+6k+2+(-7/k+10)
• k³+9k²+6k+1+(-4/k+10)
• k³+9k²+6k+3+(-10/k+10)

• m²+3+(-8/m+9)
• m²-1+(-4/m+9)
• m²+(-10/m+9)
• m²+(-8/m+9)

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

Tags

CCSS.HSA.APR.D.6

Solve 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