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Write the quadratic equation in factored form
x 2 + x - 12 = 0

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(x-3)(x+4)=0

Step-by-step explanation:

We want to rewrite the following quadratic equation in factor form

$${x}^{2} + x - 12 = 0$$

Equations with second degree are called quadratic equations.The standard form of a quadratic equation is

- ax²+bx+c=0

How to factor the quadratic equation?

The steps of factoring the quadratic are as follows:

- Figure out two terms whose sum is 1 and product is -12
- break up the middle term
- group if required
- factor the common terms

$${x}^{2} + x - 12 = 0 \\ \implies {x}^{2} + 4x - 3x - 12 = 0 \\ \implies x(x + 4) - 3(x + 4) = 0 \\ \implies \boxed{(x - 3)(x + 4) = 0}$$