Question

Find the coefficient of the t4
term in the expansion of
(4t – 375
a

Answer 1

9514 1404 393

Answer:

-3840t^4

Explanation:

The k-th term, counting from k=0, is ...

C(5, k)·(4t)^(5-k)·(-3)^k

Here, we want k=1, so the term is ...

C(5, 1)·(4t)^4·(-3)^1 = 5·256t^4·(-3) = -3840t^4

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The program used in the attachment likes to list polynomials with the highest-degree term last. The t^4 term is next to last.