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Question

The HCF of two polynomials 4x2(x23x+2)and12x(x2)(x24) is 4x(x - 2) The LCM of the two polynomials is

A
12x(x24)
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B
12x2(x23x+4)(x22)
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C
12x2(x23x+2)(x24)
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D
12x(x23x2)(x24)
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Solution

The correct option is C 12x2(x23x+2)(x24)
LCM = productofthepolynomialsHCF
= 4x2(x23x+2)×12x(x2)(x24)4x(x2)
= 4x2(x2)(x1)×12x(x2)(x2)(x+2)4x(x2)
= 12x2(x1)(x2)(x2)(x+2)
= 12x2(x23x+2)(x24)

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