Question

For what value of h is the polynomial p(x)=2x3-hx2+5x+9 exactly divisible by (x+2)

Answer 1

x=-2
now putting the value
p(-2)
2(-2)3-h*-2*2+5*-2+9=0
-16+4h-10+9=0
4h=26-9
4h=17
h=17/4


hope it helps you

Answer 2

x=-2
now putting the value
p(-2)
2(-2)3-h*-2*2+5*-2+9=0
-16+4h-10+9=0
4h=26-9
4h=17
h=17/4


All the best!