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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!

Respuesta :

baabaagreysheep
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 :)
[tex]\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 "3" as common factor, well}\\ \textit{let us use it}\\\\ -----------------------------\\\\ 3(2x-3)(x+1)\implies (2x-3)3(x+1)\\\\ (2x-3)(3x+3)\impliedby \begin{array}{llll} \textit{distributing the "3"}\\ \textit{which is Mark's} \end{array}[/tex]

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