Question 544913: 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^2-2x1) , she got -30x^3+10x^2+5x; thus, 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 expression, if possible. If the expression is prime, so state.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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^2-2x1) , she got -30x^3+10x^2+5x; thus, 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 expression, if possible. If the expression is prime, so state.
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-30x^3-9x^2-3x as -5x(6x^2-2x-1)
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Dividing -30x^3-9x^2-3x by -5x you should get:
6x^2+(9/5)x+(3/5)
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Cheers,
Stan H.
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