please help me with this I a totally confused!
Andrew factored the expression -4x^3 + 2x^2 + 8x as -2x(4x^2 – 2x – 8) But when Melissa applied the distributive law and multiplied out -2x(4x^2 – 2x – 8), she got -8x3 + 4x2 + 16x; 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.

Question

please help me with this I a totally confused!
Andrew factored the expression -4x^3 + 2x^2 + 8x as -2x(4x^2 – 2x – 8)  But when Melissa applied the distributive law and multiplied out -2x(4x^2 – 2x – 8), she got -8x3 + 4x2 + 16x; 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.

anonymous · Answer

$$-4x ^{3}+2x ^{2}+8x$$
$$-2x(2x-x-4) $$ not $$-2x(4x ^{2}-2x-8)$$

anonymous · Answer

Reason: Simply because Andrew put the wrong numbers. Andrew has taken out the common factor of -2x which is correct but his figures in the brackets are incorrect.

anonymous · Answer

oh I was completely confused on this one, thank you kudos

anonymous · Answer

no problem.