Question

The result of dividing (x3 + x2 – 22x – 40) by (x – 5) is x2 + 6x + 8. Select all of the factor(s) of x2 + 6x + 8.

Answer 1

the ~correct~ answer would be (x + 4) and (x + 2) so the second and fourth one

Answer 2

(x+4) and (x+2)

Explanation:

`(x^3 + x^2 -22x - 40)`

is a cubic polynomial and the divisor is x-5

The quotient is given as

`x^2 + 6x + 8.`

This can be further factored as

`x^2 + 6x + 8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)`

Thus other factors of the quotient are

(x+4) and (x+2)