Home > Algebra > Factorization of Quadratic Expressions

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

Answer 1

Avery Alexander

#x=3/2#

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

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

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

#:.2x=3#

#:.x=3/2#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Abigail Allen

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

#"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#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Jace Anderson

To factor the expression -8x^2 + 24x - 18, first, find the greatest common factor (GCF) of the coefficients, which is 2. Then, factor out 2 from each term, resulting in 2(-4x^2 + 12x - 9). Next, factor the quadratic expression -4x^2 + 12x - 9 by either using the quadratic formula or by factoring by grouping. The factored form is 2(2x - 3)(-2x + 3). Therefore, the fully factored expression is 2(2x - 3)(3 - 2x).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.