Question

Write a quadratic equation that can be solved by factoring. Solve your equation and show and explain all your work.

Answer 1

An example of this may be: $x^{2} +5x - 6 = 0$
$x^{2} + 5x - 6 = 0$

Split up the middle term into factors of -6.
$x^{2} - x + 6x - 6 = 0$
$x(x - 1) + 6(x - 1)$

Group like terms together.
$(x + 6)(x - 1) = 0$

Thus, x = -6 and x = 1