Synthetic Division Practice

Question

Find the quotient and show step by step visual pictures

4) (2x⁶ - x⁵ + 3x² + 2x - 4) / (x+2)

Answer 1

Synthetic Division Practice

Find the quotient and show step by step visual pictures

4) (2x⁶ - x⁵ + 3x² + 2x - 4) / (x+2)

-2⌋ 2 -1 0 0 3 2 -4

↓ -4 10 -20 40 -86 168

———————————

2 -5 10 -20 43 -84 162

By the remainder theorem, the last number in the set is the remainder, which is the same as if you computed f(-2) in the function. So, reduce each coefficients term of x by one degree.

Then, answer = quotient + remainder / divisor

Like this:

2x⁵ - 5x⁴ +10x³ -20x² +43x -84 +162/(x +2)