SOLUTION: im trying to solve tis problem and find the least common multiple of each pair of polynomials, please help! 2x^2-18 and 5x^3+30x^2+45x

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Question 392841: im trying to solve tis problem and find the least common multiple of each pair of polynomials, please help!
2x^2-18 and 5x^3+30x^2+45x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the least common multiple of each pair of polynomials, please help!
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Factor each expression
2x^2-18 = 2(x^2-9) = 2(x-3)(x+3)
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5x^3+30x^2+45x = 5x(x^2+6x+9)= 5x(x+3)^2
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The lcm must have each of the factors in their highest power:
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lcm = 2*5*x(x-3)(x+3)^2
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Cheers,
Stan H.