SOLUTION: Multiply -5x + 4 by 4x2 + x

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Question 552883: Multiply
-5x + 4
by
4x2 + x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-5x%2B4%29%284x%5E2%2Bx%29 Start with the given expression.


-5x%284x%5E2%2Bx%29%2B4%284x%5E2%2Bx%29 Expand.


%28-5x%29%2A%284x%5E2%29%2B%28-5x%29%2A%28x%29%2B%284%29%2A%284x%5E2%29%2B%284%29%2A%28x%29 Distribute.


-20%2Ax%5E3-5%2Ax%5E2%2B16%2Ax%5E2%2B4%2Ax Multiply.


-20%2Ax%5E3%2B11%2Ax%5E2%2B4%2Ax Now combine like terms.


So %28-5x%2B4%29%284x%5E2%2Bx%29 expands to -20%2Ax%5E3%2B11%2Ax%5E2%2B4%2Ax.


In other words, %28-5x%2B4%29%284x%5E2%2Bx%29=-20%2Ax%5E3%2B11%2Ax%5E2%2B4%2Ax.