Question

Factor$a^2-11ab+10b^2$

Short answer

The factored form is$(a-10b)(a-b)$

Step-by-step solution

Given information

Given the polynomial ,$a^2-11ab+10b^2$

Create the factor table

The table is

Factors of$10$	Sum of factors
$1,10$	$1+10=11$
$2,5$	$2+5=7$
$-1,-10$	$-1-10=-11$

Use m,nas last terms of factors and form the factored polynomial

Here,

$$\begin{gathered} m,n=-1,-10 \\ m+n=-11 \\ mn=10 \end{gathered}$$

Substitute the values to get the factored form

The factored form is$(a-10b)(a-b)$