How do you factor c^2 + 7c +12?

1 Answer
Shwetank Mauria
Jul 19, 2016

c^2+7c+12=(c+4)(c+3)

Explanation:

To factorize ax^2+bx+c, one should split b in two parts whose product is ac. In c^2+7c+12, one needs to split 7 in two parts whose product is 1×12=12. Such numbers are 3 and 4.

Hence, c^2+7c+12

= c^2+3c+4c+12

= c(c+3)+4(c+3)

= (c+4)(c+3)

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