Question

Examine whether X + a is a factor of x cube + 3 x square + 5 x + 6

Answer 1

Step-by-step explanation:

Given X + a is a Factor of Polynomial X³ + 3X² + 5X + 6 =0

$= ) \: x = - a \\ \\ > putting \: it \: in \: polynomial \: - \\ \\ = ) \: \: { (- a)}^{3} + 3 {( - a)}^{2} + 5( - a) \: + 6 = 0 \\ \\ = ) \: { - a}^{3} + 3 {a}^{2} - 5a \: + 6 \: = 0 \\ \\ = ) \: putting \: \: a = 2\: polynomial \: satisfied \: \\ \\ \\ \\ a = 2 \\ \\ \\ \\ \huge \red{\underline{ \underline \bold { \: thank \: u \: \: }}}$