Question

For the partially complete factorization, find the other binomial which will complete the factorization.

Answer 1

Solution:

Given

$y^2+5y-14$

Factorize:

$\begin{gathered} y^2+5y-14 \\ =y^2+7y-2y-14 \\ y(y+7)\text{ -2\lparen y+7\rparen} \\ =(y-2)(y+7) \end{gathered}$

Thus, the other binomial that will complete the factorization (y + 7)