Question

completely factor the given polynomial. if the polynomial cannot be factored, write nf for your answer.

\xy + 11y - 12x - 132\\

Explanation:

Group the terms

Using the Factoring by Grouping knowledge point

$$ xy + 11y - 12x - 132 = (xy + 11y) - (12x + 132) $$

Factor out common terms

Using the Factoring by Grouping knowledge point

$$
LATEXBLOCK0
$$

Extract the binomial factor

Using the Factoring by Grouping knowledge point

$$ y(x + 11) - 12(x + 11) = (x + 11)(y - 12) $$

Answer:

Completely factor the given polynomial. If the polynomial cannot be factored, write NF for your answer.

\(xy + 11y - 12x - 132 =\) <blank>\((x + 11)(y - 12)\)</blank>