Question

Factor$u^2-9u+18$

Short answer

The factored form is$(u-3)(u-6)$

Step-by-step solution

Given information

Given the polynomial,$u^2-9u+18$

 Writing as parentheses

The polynomial can be written as$(u)(u)$. Now creating the table

Factors of $18$	Sum of factors
$1,18$	$1+18=19$
$2,9$	$2+9=11$
$-3,-6$	$-3-6=-9$

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

Here

$$\begin{gathered} m,n=-3,-6 \\ m+n=-9 \\ mn=18 \end{gathered}$$

Substitute the values and form the factored polynomial

The factored form is$(u-3)(u-6)$