Q 6.24TI - Intermediate Algebra

Question

Factor $m^2-13mn+12n^2$

Step-by-Step Solution

Answer

The factored form is $(m-10n)(m-n)$

Step 1: Given information

Given the polynomial $p^2+15pq+20q^2$

Step 2: Create the factor table

The table is 

Factors of $12$	Sum of factors
$1,12$	$1+12=13$
$2,6$	$2+6=8$
$-12,-1$	$-1-12=-13$

Step 3: Use m , n as last terms of factors and form the factored polynomial

Here

$$\begin{gathered} m,n=-12,-1 \\ m+n=-13 \\ m\times n=12 \end{gathered}$$

Step 4: Substituting the values and form the factored form

The factored form is $(m-12n)(m-n)$