Asked by Trish Goal

What is the coefficient of x^3 when
24x^4+6x^3+4x^2-7x-5
is multiplied by
6x^3+3x^2+3x+4
and the like terms are combined?

I got 144x^7+108x^6+90x^5+114x^4+24x^3 so the answer would be 24. But I am not sure if I am right.
Answered by Steve
I get -15

6x^3*4 + 4x^2*3x + -7x*3x^2 + -5*6x^3
24+12-21-30 = -15
Answered by Damon
agree with Steve but most importantly look how he did it. It is not necessary to multiply the whole thing out, just the terms that end up being in x^3
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