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

dedica66em 2021-12-13 Answered
Factor the quadratic polynomials.
x2+7x+12
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Expert Answer

Debbie Moore
Answered 2021-12-14 Author has 43 answers
The given quadratic polynomial is x2+7x+12.
It is factored as follows.
x2+7x+12=x2+3x+4x+12
=x(x+3)+4(x+3)
=(x+4)(x+3)

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Daniel Cormack
Answered 2021-12-15 Author has 34 answers
Consider the expression x2+7x+12.
To simplify the above expression using the concept of factorizations method.
Then simplify as follows:
x2+7x+12=x2+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

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