Use synthetic division to find the remainder. \cfrac{x^4+x^3-x^2+x-3}{x+2}

Question

Use synthetic division to find the remainder.

`\cfrac{x^4+x^3-x^2+x-3}{x+2}`

Answer 1

remainder = -1

Explanation:

(x^4 + x³ - x² + x - 3)/(x + 2)

x + 2 = 0

x = -2

-2 | 1 1 -1 1 -3

| -2 2 -2 2

---------------------------------

1 -1 1 -1 -1

(x^4 + x³ - x² - 3)/(x + 2) = x³ - x² + x - 1; remainder -1