Question

if x minus 2 is a factor of x cube + 9 X square + bx + 18 and a minus b is equal to 7 find a and b

Answer 1

since x-2 is a factor,
${2}^{3} + 9 {(2)}^{2} + 2b + 18 = 0$
$a = b + 7$
From these 2 equations , we get,

a=-24
b=-31