# How do you factor k^2 + k - 110?

##### 1 Answer
Mar 11, 2018

color(blue)((k-10)(k+11)

#### Explanation:

Given:

Factorize: color(red)(k^2 + k - 110

$y = f \left(x\right) = {k}^{2} + k - 110$

Split the middle term to factorize.

${k}^{2} - 10 k + 11 k - 110$

Break the expression into appropriate groups.

Factor $k$ and $11$ respectively as shown below:

$k \left(k - 10\right) + 11 \left(k - 10\right)$

Next, factor the common term: $\left(k - 10\right)$

color(blue)((k-10)(k+11)

Hope you find this solution useful.