SOLUTION: Short answer: Find the product. Please show answer. -5(x^3-3x^2+4x+6)

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Question 553627: Short answer: Find the product. Please show answer. -5(x^3-3x^2+4x+6)

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
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-5%28x%5E3-3x%5E2%2B4x%2B6%29
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Just multiply -5 times each of the terms inside the parentheses. I think what might be confusing you is the signs. So, until you get used to the process, it might be helpful to think of this problem in the following form:
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-5%2A%28%2B%28x%5E3%29%2B%28-3x%5E2%29%2B%28%2B4x%29%2B%28%2B6%29%29
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Now just multiply out the expression by inserting the -5 multiplier for each term in parentheses as follows:
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Then do the multiplications to get:
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-5x%5E3+%2B+%2815x%5E2%29+%2B+%28-20x%29+%2B+%28-30%29
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and this simplifies to:
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-5x%5E3+%2B+15x%5E2+-20x+-30%29
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But the shorter and quicker way would be to verbally say the following
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-5 times x cubed is -5x^3
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then say -5 times -3x^2 is +15x^2
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then say -5 times 4x is -20x
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and finally say -5 times 6 is -30
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Then put these four answers together to get the overall answer of:
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-5x^3 +15x^2 - 20x - 30
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I hope this helps a little bit to clarify things for you.
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