If HCF of x 3 - 10m 2 + 31x - 30m and x 2 - 8mx + 15 is a linear polynomial, then what is the value of m?
Aptitude
Problems on H.C.F and L.C.M
Choose an option
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A2
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B3
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C1
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D4
Answer
Correct Answer: 1
Explanation
Go through options. Put m = 1 in two given expression,we have x3 - 10x2 + 31x - 30 and x2 - 8x + 15 x2 - 8x + 15 = (x - 5) (x - 3) x3 - 10x2 + 31x - 30 = (x - 2) (x - 5) (x - 3) ∴ (x - 5) (x - 3) = x2 - 8x + 15 is the HCF of both expressions. ∴ m = 1