Question

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

Answer 1

`(a+2)(a+13)`

Explanation:

The standard form of the `color(blue)"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)|)))`

To factorise the quadratic.

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

`"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.

`2xx13=26" and " 2+13=15`

`rArra^2+15a+26=(a+2)(a+13)`