SOLUTION: (x+1)(x3+7x2+5x+4)

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Question 521161: (x+1)(x3+7x2+5x+4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B1%29%28x%5E3%2B7x%5E2%2B5x%2B4%29 Start with the given expression.


x%28x%5E3%2B7x%5E2%2B5x%2B4%29%2B1%28x%5E3%2B7x%5E2%2B5x%2B4%29 Expand.


Distribute.


x%5E4%2B7%2Ax%5E3%2B5%2Ax%5E2%2B4%2Ax%2Bx%5E3%2B7%2Ax%5E2%2B5%2Ax%2B4 Multiply.


x%5E4%2B8%2Ax%5E3%2B12%2Ax%5E2%2B9%2Ax%2B4 Now combine like terms.


So %28x%2B1%29%28x%5E3%2B7x%5E2%2B5x%2B4%29 expands to x%5E4%2B8%2Ax%5E3%2B12%2Ax%5E2%2B9%2Ax%2B4.


In other words, %28x%2B1%29%28x%5E3%2B7x%5E2%2B5x%2B4%29=x%5E4%2B8%2Ax%5E3%2B12%2Ax%5E2%2B9%2Ax%2B4.


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Jim