## x^2 + 13x + 36

### (x + 4)(x + 9)

The expression x^2 + 13x + 36 can be factored as (x+9)(x+4).

To see why, you can use the factoring technique known as FOIL (First, Outer, Inner, Last). Here’s how it works:

Multiply the first terms of each binomial: x * x = x^2

Multiply the outer terms of each binomial: x * 4 = 4x

Multiply the inner terms of each binomial: 9 * x = 9x

Multiply the last terms of each binomial: 9 * 4 = 36

Add up the results of the previous steps: x^2 + 4x + 9x + 36

Simplify by combining like terms: x^2 + 13x + 36

So we have the expression x^2 + 13x + 36 = (x+9)(x+4). This is an example of factoring a quadratic trinomial, which can be useful for solving equations and graphing quadratic functions.

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