Question

complete the factoring , if needed solve the polynomial any quality using a sign chart (x+3)(x^2-8x+15)<0

Answer 1

`(x + 3)(x - 5)(x-3)<0`

Explanation:

Given

`(x + 3)(x^2 - 8x + 15)<0`

Required

Complete the factoring

`(x + 3)(x^2 - 8x + 15)<0`

Expand

`(x + 3)(x^2 - 3x - 5x+ 15)<0`

Factorize:

`(x + 3)(x(x - 3)-5(x-3))<0`

Factor out x - 3

`(x + 3)(x - 5)(x-3)<0`

The expression has been completely factored