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29 March, 12:21

Find the LCM of the pair of polynomials. 2x^2-18 and 5x^3+30x^2+45x

a) (x+3) ^2 (x-3)

b) (x-3) ^2 (x+3)

c) 10x (x+3) (x-3)

d) 10x (x+3) ^2 (x-3)

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  1. 29 March, 12:33
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    2x^2-18 = 2 (x^2 - 9) = 2 (x-3) (x+3)

    5x^3+30x^2+45x = 5x (x^2 + 6x+9) = 5x (x+3) (x+3)

    LCM: Multiply each factor the greatest number of times it occurs in any of the numbers.

    LCM : 2 (x-3) (x+3) * 5x (x+3)

    10x (x-3) (x+3) ^2

    Choice D
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