SOLUTION: Find the product: (7x+1)(x^2+1)

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Question 176957This question is from textbook
: Find the product: (7x+1)(x^2+1) This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%287x%2B1%29%28x%5E2%2B1%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%287x%29%2B1%29%28highlight%28x%5E2%29%2B1%29 Multiply the First terms:%287%2Ax%29%2A%28x%5E2%29=7%2Ax%5E3.


%28highlight%287x%29%2B1%29%28x%5E2%2Bhighlight%281%29%29 Multiply the Outer terms:%287%2Ax%29%2A%281%29=7%2Ax.


%287x%2Bhighlight%281%29%29%28highlight%28x%5E2%29%2B1%29 Multiply the Inner terms:%281%29%2A%28x%5E2%29=x%5E2.


%287x%2Bhighlight%281%29%29%28x%5E2%2Bhighlight%281%29%29 Multiply the Last terms:%281%29%2A%281%29=1.


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7%2Ax%5E3%2B7%2Ax%2Bx%5E2%2B1 Now collect every term to make a single expression.


7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1 Rearrange the terms in descending degree.


So %287x%2B1%29%28x%5E2%2B1%29 FOILs to 7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1.


In other words, %287x%2B1%29%28x%5E2%2B1%29=7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1.