Question

Divide x^4 + 7 by x - 3.

a.) x³ - 3x² - 9x - 27 R 88
b.) x³ + 3x² + 9x - 27 R -74
c.) x³ + 3x² + 9x + 27 R 88

Answer 1

c

Explanation:

Divide using synthetic division, remembering to place a zero to denote the terms x³, x² and x

Since division by (x - 3) then evaluate using h = 3

3 | 1 0 0 0 7

↓

1 3 9 27 81

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

1 3 9 27 88 ← degree 3 polynomial

quotient = x³ + 3x² + 9x + 27 , remainder = 88 → c