Question

Abby and Mark were trying to factor this polynomial: 6x2 − 3x − 9. Abby's solution was 3(2x − 3)(x + 1) and Mark's answer was (2x − 3)(3x + 3). Which student had the correct answer and why?

I know Abby's answer is correct, but what do they mean by why? Please help me!

Answer 1

`\bf 6x^2 -3x - 9\impliedby \textit{common factor}\\ 3(2x^2-x-3)\impliedby \textit{now factoring}\\ 3(2x-3)(x+1)\impliedby \textit{now, that's Abby's}\\\\ -----------------------------\\\\ \textit{hold the mayo, hmmmm we have a}\\ \textit{wandering`

Answer 2

By why, they mean what about Abby's answer makes it correct. So, you would basically just show that the terms in Abby's answer equal 6x2 - 3x - 9 when simplified. I hope this helps! Let me know if you need more explanation :)