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i need review on how to expand polynomials... can you please show the steps and explain what happened? ty! \(f(x) = {x (x + 2) (4x -1)}\)

 Jan 19, 2018
 #1
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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

 

__________________________________________

                                        4x^3     +   7x^2    -   2x

 

 

cool cool cool

 Jan 19, 2018
edited by CPhill  Jan 19, 2018

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