Question

b^2+ 4b -12 = (b + 6) (?) find the other binomial which will complete the factorization

Answer 1

Given the poylinomial:

$b^2+4b-12$

We are given the factor b+6 of the factorization, then we need a number that when multiplied with 6, results in -12 and the addition of 6 and this number must be 4, then:

$\begin{gathered} 6+(-2)=4 \\ (6)(-2)=-12 \end{gathered}$

therefore, the missing binomial is b-2