Question 157460
(x + 6)(x^3 - x^2 - 5x + 1)

Do it one section at a time.

We first multiply x by every term and then 6 by every term.

x times x^3 = x^4

x times -x^2 = -x^3

x times -5x = -5x^2

x times 1 = x

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6 times x^3 = 6x^3

6 times -x^2 = -6x^2

6 times -5x = -30x

6 times 1 = 6

We put all terms together like this:

x^4 - x^3 - 5x^2 + x + 6x^3 - 6x^2 - 30x + 6

We now combine like terms to finish:

x^4 + 3x^3 - 11x^2 - 29x + 6....This is your answer.