SOLUTION: Word problems are difficult. Could someone please walk me through this problem? Thank you. Andrew factored the expression -30x^3-9x^2-3x as -5x(6x^2-2x-1). But when Melissa appl

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Question 675761: Word problems are difficult. Could someone please walk me through this problem? Thank you.
Andrew factored the expression -30x^3-9x^2-3x as -5x(6x^2-2x-1). But when Melissa applied the distributive law and multiplied out-5x(6x^2-2x-1), she got -30x^3+10x^2+5x; tus, Andrew’s solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original express, if possible. If the expression is prime, so state this.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi

-30x^3-9x^2-3x = -3x(10x^2 - 3x - 1) = -3x(5x + 1)(2x-1)

Check factoring of (10x^2 - 3x - 1) Using FOIL

F	First terms

O	Outside terms

I	Inside terms

L	Last terms

 

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