How do you factor #2k ^ { 2} + 12k - 54#?

1 Answer
Oct 26, 2017

#2(k+9)(k-3)#

Explanation:

#"remove the "color(blue)"common factor of 2"#

#rArr2k^2+12k-54#

#=2(k^2+6k-27)#

#"to factor the quadratic inside the bracket"#

#"the factors of - 27 which sum to + 6 are + 9 and - 3"#

#=2(k+9)(k-3)#