Question

Divide:
x³+3x²+3x+1 by 5+2x​

Answer 1

Answer:

Remainder = (-27/8)

Answer 2

$5 + 2x = 0 \\ 2x = - 5 \\ x = \frac{ - 5}{2}$

,

${x}^{3} + {3x}^{2} + 3x + 1 \\ = {( \frac{ - 5}{2}) }^{3} + 3 {( \frac{ - 5}{2}) }^{2} + 3 (\frac{ - 5}{2} ) + 1 \\ = \frac{ - 125}{8} + \frac{75}{4} - \frac{15}{2} + 1 \\ = \frac{ - 27}{8}$