SOLUTION: Find each product (3x-2)(2x²+3x-1)

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Question 118711: Find each product
(3x-2)(2x²+3x-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x-2%29%282x%5E2%2B3x-1%29 Start with the given expression



3x%282x%5E2%2B3x-1%29-2%282x%5E2%2B3x-1%29 Expand the expression. Remember for something like %28a%2Bb%29%28c%2Bd%2Be%29 it expands to a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29


Distribute


6x%5E3%2B9x%5E2-3x-4x%5E2-6x%2B2 Multiply


5x%5E2%2B6x%5E3-9x%2B2 Combine like terms



6x%5E3%2B5x%5E2-9x%2B2 Now rearrange the terms in descending order


So %283x-2%29%282x%5E2%2B3x-1%29 expands and simplifies to 6x%5E3%2B5x%5E2-9x%2B2.

In other words, %283x-2%29%282x%5E2%2B3x-1%29=6x%5E3%2B5x%5E2-9x%2B2




If you need more help with multiplying polynomials, check out this Long Multiplication Calculator