i need review on how to expand polynomials... can you please show the steps and explain what happened? ty! \(f(x) = {x (x + 2) (4x -1)}\)
x ( x + 2) (4x - 1)
Taking the first two terms we have x ( x + 2) = x^2 + 2x
So now, we are multiplying
(x^2 + 2x) ( 4x - 1)
Distribute the terms in the first set of parentheses over (4x -1)
x^2 (4x - 1) = 4x^3 - 1x^2
+
2x(4x - 1) = + 8x^2 - 2x
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4x^3 + 7x^2 - 2x