Question

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

Answer 1

`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`

Answer 2

`-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`