SOLUTION: . Multiply: (x – 4)(2x2 – 7x + 8)

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Question 162841: . Multiply:
(x – 4)(2x2 – 7x + 8)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-4%29%282x%5E2-7x%2B8%29 Start with the given expression.


x%282x%5E2-7x%2B8%29-4%282x%5E2-7x%2B8%29 Expand. Remember, %28A%2BB%29%28C%2BD%2BE%29=A%28C%2BD%2BE%29%2BB%28C%2BD%2BE%29


Distribute.


2%2Ax%5E3-7%2Ax%5E2%2B8%2Ax-8%2Ax%5E2%2B28%2Ax-32 Multiply.


2%2Ax%5E3-15%2Ax%5E2%2B36%2Ax-32 Now combine like terms.


So %28x-4%29%282x%5E2-7x%2B8%29 expands to 2%2Ax%5E3-15%2Ax%5E2%2B36%2Ax-32.


In other words, %28x-4%29%282x%5E2-7x%2B8%29=2%2Ax%5E3-15%2Ax%5E2%2B36%2Ax-32.