# How do you factor a^2+15a+26?

Feb 10, 2017

$\left(a + 2\right) \left(a + 13\right)$

#### Explanation:

The standard form of the $\textcolor{b l u e}{\text{quadratic function}}$ is.

color(red)(bar(ul(|color(white)(2/2)color(black)(y=ax^2+bx+c color(white)(xx) ;a>0)color(white)(2/2)|)))

• " consider the factors of c , which sum to b"

$\text{here " a=1,b=+15" and } c = + 26$

The factors of 26 are 1 , 2 , 13 ,26

The required values are 2 and 13, since.

$2 \times 13 = 26 \text{ and } 2 + 13 = 15$

$\Rightarrow {a}^{2} + 15 a + 26 = \left(a + 2\right) \left(a + 13\right)$