If the coefficient of x^4 in the expansion of （2-3px)(4x^4+5x^3-x) is 38,find the value of p.

If the coefficient of x^4 in the expansion of （2-3px)(4x^4+5x^3-x) is 38,find the value of p.
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1 Answer

We need to find all terms which contain x4 by inspecting products that yield x4.

These are:

2×4x4 +(-3px)(5x3)=8x4-15px4=38x4, so 8-15p=38, -30=15p, making p=-2.

by Top Rated User (1.1m points)

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