Question

Multiply and Simplify
(x-4)(x^2 - 5x - 6)

Answer 1

x^3 - 9x^2 +14x +24

Explanation:

(x-4)(x^2 - 5x - 6)

First multiply x by everything in the second term

x (x^2 - 5x - 6) = x^3 -5x^2 -6x

Then multiply -4 by everything in the second term

-4 (x^2 - 5x - 6) = -4x^2 +20x +24

Then we add the results together.

I like to line them up vertically.

x^3 -5x^2 -6x

-4x^2 +20x +24

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x^3 - 9x^2 +14x +24