Question

solve this step by step

Answer 1

option c is correct ....

Answer 2

$\huge \color{yellow}{Hey} \\ \\ \huge{\orange{ \boxed{Answer \: }}} \\ \\ \bf \: = > p(x) = x + 2 \\ \\ = > \bf \: p(x) = x + 2 = 0 \\ \\ = > \bf \: p( x) = - 2 \\ \\ \\ \bf \: p( - 2) = {x}^{3} + 2a {x}^{2} + ax - 1 = 0 \\ \\ = > \bf \: \: \: \: \: \: = {( - 2)}^{3} + 2 \times a \times {( - 2)}^{2} + a \times ( - 2) - 1 = 0 \\ \\ = > \: \: \: \: \bf \: \: = ( - 8) + 2 \times a \times 4 - 2a - 1 = 0 \\ \\ = > \bf \: \: \: \: \: = ( - 8) + 8a - 2a - 1 = 0 \\ \\ = > \bf \: \: \: \: = - 9 + 6a = 0 \\ \\ = > \bf \: \: \: = 6a = 0 + 9 \\ \\ = > \bf \: \: \: \: = 6a = 9 \\ \\ = > \bf \: a = \frac{9}{6} \\ \\ = > \bf \: a = \frac{3}{2} \: \: \: \: \huge \boxed{answer} \: \\ \\ \huge \boxed{Thank \: you} \:$