Question

divide:
$11x {}^{2} + 2x ^{3} + 17x + 5$
by:
$5 + 2x$

​

Answer 1

11x² + 2x³ + 17x + 5 / 5 + 2x

2x + 5 ) 2x³ + 11x² + 17x + 5 ( x² + 3x + 1

2x³ + 5x²

6x² + 17x + 5

⠀⠀⠀⠀⠀⠀⠀⠀⠀6x² + 15x

⠀⠀⠀⠀⠀ ⠀⠀⠀⠀ 2x + 5

⠀⠀⠀ ⠀ ⠀⠀⠀ ⠀ 2x + 5

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀0⠀⠀⠀

QUOTIENT → x² + 3x + 1

REMAINDER → 0