# Factor the quadratic polynomials. x^{2}+7x+12

${x}^{2}+7x+12$
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Debbie Moore
The given quadratic polynomial is ${x}^{2}+7x+12$.
It is factored as follows.
${x}^{2}+7x+12={x}^{2}+3x+4x+12$
=x(x+3)+4(x+3)
=(x+4)(x+3)

Daniel Cormack
Consider the expression ${x}^{2}+7x+12$.
To simplify the above expression using the concept of factorizations method.
Then simplify as follows:
${x}^{2}+7x+12={x}^{2}+4x+3x+12$ [Split the middle term]
=x(x+4)+3(x+4) [Use factor by grouping method]
=(x+4)(x+3) [Factor out the common factor]
Use zero product rule:
(x+4)=0 Or (x+3)=0
x=-4
x=-3
Therefore, the answer is x=-4, -3