Question 1022009
Hello Tutors,

I have been under the weather and trying to play catch now. I need your assistance with solving these polynomials. Basically I need to factor these expressions. If not, I will have to label it as prime. If possible, can someone show me step-by-step with the easiest method to solve both of these expressions. I would really appreciate it. Thank you kindly.

1. 12x2 + 28x - 24
2. 12m2 – mn – 20n2
<pre>{{{12x^2 + 28x - 24}}}
{{{4(3x^2 + 7x - 6)}}} ------- Factoring out GCF, 4
{{{highlight_green(4(3x - 2)(x + 3))}}} ------ Factoring {{{3x^2 + 7x - 6}}}

<b><u>2.</b></u>{{{12m^2 - mn - 20n^2}}}
{{{12m^2 - 16mn + 15mn - 20n^2}}} ------- Substituting {{{matrix(1,3, - 16mn + 15mn, for, - mn)}}} 
{{{4m(3m - 4n) + 5n(3m - 4n)}}}
{{{highlight_green((4m + 5n)(3m - 4n))}}}