SOLUTION: Factor 3x3 - 2x2 – 37x – 12 given that x + 3 is one of the factors Thanks

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Question 41621: Factor 3x3 - 2x2 – 37x – 12 given that x + 3 is one of the factors
Thanks
Answer by psbhowmick(489) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E3+-+2x%5E2 – 37x – 12
= 3x%5E3+%2B+9x%5E2+-+11x%5E2 – 33x - 4x – 12

[Look, here we have arranged the expression in such a way that factor (x + 3) can be taken common.]

= 3x%5E2%28x+%2B+3%29+-+11x%28x+%2B+3%29+-+4%28x+%2B+3%29
= %28x+%2B+3%29%283x%5E2+-+11x+-+4%29
= %28x+%2B+3%29%283x%5E2+-+12x+%2B+x+-+4%29
= %28x+%2B+3%29%283x%28x+-+4%29+%2B+1%28x+-+4%29%29
= %28x+%2B+3%29%283x+%2B+1%29%28x+-+4%29