Question

Factor the quadratic function x2 + 13x + 42

Answer 1

`x = - 6 \: \: \: \: or \: \: \: \: \: x = - 7`

Explanation:

`{x}^(2) + 13x + 42 = 0\\ {x}^(2) + 6x + 7x + 42 = 0 \\ {x}(x + 6) + 7(x + 6) = 0 \\ (x + 6)(x + 7) = 0 \\ x + 6 = 0 \: \: \: \: \: or \: \: \: \: \: \: x + 7 = 0 \\ x = - 6 \: \: \: \: or \: \: \: \: \: x = - 7`