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Mathematics
OpenStudy (anonymous):

Explain, in complete sentences, how you would factor 3x4 – 9x3 – 120x2.

OpenStudy (anonymous):

first you want to simplify the equation by factoring \[3x^2\] this reduces the equation to: \[3x^2(x^2-3x-40)\] next you want to factor the second equation, find two numbers that when multiplied together equal -40, and when added together equal -3 (think of the factors of 40) those two numbers are -8 and 5, so put those numbers into the equation to see it better visually: \[x^2-8x+5x-40\] notice i just separated -3x into those two terms, so now you know what factor is: (x-8)(x+5) don't forget the \[3x^2\] though. the final answer is: \[3x^2[(x-8)(x+5)]\]

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