How do you factor the expression #-8x^2 + 24x - 18#?

2 Answers
Barney V.
Jun 8, 2018

#x=3/2#

Explanation:

#-8x^2+24x-18#

#:.-2(4x^2-12x+9)=0#

#:.-2(2x-3)(2x-3)=0#

#:.2x=3#

#:.x=3/2#

Jim G.
Jun 8, 2018

#-2(2x-3)^2#

Explanation:

#"take out a "color(blue)"common factor "-2#

#-2(4x^2-12x+9)#

#"note that "4x^2-12x+9" is a "color(blue)"perfect square"#

#4x^2-12x+9=(2x-3)^2#

#-8x^2+24x-18=-2(2x-3)^2#

Related questions
See all questions in Factorization of Quadratic Expressions
Impact of this question
4107 views around the world
You can reuse this answer
Creative Commons License