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

1 Answer
Feb 10, 2017

Answer:

#(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)#