SOLUTION: Multiply out: ( x + 6 )( x3 -x2 - 5x + 1)

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Question 92173: Multiply out: ( x + 6 )( x3 -x2 - 5x + 1)
Answer by anraymer(35) About Me  (Show Source):
You can put this solution on YOUR website!
%28+x+%2B+6+%29%28+x%5E3+-x%5E2+-+5x+%2B+1%29
Take the expression (x + 6) and multiply each part of %28x%5E3+-+x%5E2+-+5x+%2B1%29:
[(x + 6)*x^3] - [(x + 6)*x^2] - [(x + 6)*5x] + [(x + 6)*1]
Now simiplify:
%28x%5E4+%2B+6x%5E3%29+-+%28x%5E3+%2B+6x%5E2%29+-+%285x%5E2+%2B+30x%29+%2B+%28x+%2B+6%29
Don't forget to distribute the negative sign as well!!! So you're left with:
x%5E4+%2B+6x%5E3+-+x%5E3+-+6x%5E2+-+5x%5E2+-+30x+%2B+x+%2B+6
Now combine and you have the final answer:
x%5E4+%2B+5x%5E3+-+11x%5E2+-29x+%2B+6