Question

X^3 + 3x^2 + 3X +1 divided by 5 +2X

Answer 1

$\huge{\underline{\tt{\red{Answer-}}}}$

5 + 2x

⟶ 5 + 2x = 0

⟶ 2x = 0 -5

⟶ $\tt\implies\blue{X = -5/2}$

$⟶ \: \: \: P(x) = {x}^{3} + {3x}^{2} + 3x + 1$

$⟶ \: \: P( \frac{ - 5}{2}) = ( \frac{ - 5}{3})^{2} + 3 \times (\frac{ - 5}{2}^{2}) + 3 \times ( \frac{ - 5}{2}) + 1$

$⟶ \: \: P( \frac{ - 5}{2}) = \frac{ - 125}{8} + \frac{75}{4} - \frac{15}{2} + 1$

$⟶ \: \: \: P( \frac{ - 5}{2}) = \frac{ - 125 + 150 - 60 + 8}{8}$

$⟶ \: \: P( \frac{ - 5}{2}) = \frac{ - 27}{8}$

⟶ $\huge{\underline{\tt{\blue{\frac{ - 27}{8}}}}}$