Q 6.25TI - Intermediate Algebra

Question

Factor $x^2-7xy-10y^2$

Step-by-Step Solution

Answer

The factored form is $(x-5y)(x-2y)$

Step 1: Given information

Given the polynomial $x^2-7xy-10y^2$

Step 2: Create the factor table

The table is 

Factors of $-10$	Sum of factors
$1,-12$	$1-12=-11$
$2,-6$	$2-6=-4$
$-2,-5$	$-2-5=-7$

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

Here,

$$\begin{gathered} m,n=-2,-5 \\ m+n=-7 \\ m\times n=10 \end{gathered}$$

Step 4: Substitute the values to form the factored form

The factored form is $(x-5y)(x-2y)$