Question

X^2 + 6x+8 (factoring, setting factor = to 0 and solve for roots)

Answer 1

x = -4, -2

Explanation:

Key skills needed: Quadratics, Factoring, Solving for Roots

1) We are given :
`x^2 + 6x + 8 = 0` and we need to solve for the roots.

2) You have to factor.

You need to find what factors of 8 add up to 6.

The factors of 8 are --> 1,2,4,8

The 2 factors that add up to 6 and multiply to equal 8 are --> 2 & 4

3) This means it would become --->
`(x+4)(x+2) = 0`.

4) Set x + 4 = 0 and get x = -4 as one root

Set x + 2 = 0 and get x = -2 as another root.

The 2 roots are -4, and -2

Hope you understood and have a nice day!! :D