Question

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

Answer 1

• x²+x-12=0
• x²+4x-3x-12=0
• x(x+4)-3(x+4)=0
• (x-3)(x+4)=0

Zeros are 3 and -4

Answer 2

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

Explanation:

We want to rewrite the following quadratic equation in factor form

`{x}^(2) + x - 12 = 0`

What's a quadratic equation?

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:

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

Factoring the quadratic:

`{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}`

Hence, the factored form of the quadratic equation is (x-3)(x+4)=0