Question

If (x+2) is a factor of h(x) = x^3 + 8x² + Ax + 4 , then valoe of A is:

Answer 1

If
`x+2` is a factor of
`h(x)`, then by the polynomial remainder theorem,
`h(-2)=0`. So

`h(-2)=(-2)^3+8(-2)^2+A(-2)+4`

`-8+32-2A+4=0\implies2A=28\implies A=14`