Question

on application
7. Find the LCM and HCF of
(a) x2 + 2x - 15 and 3x2 - 11x + 6

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Answer 1

a).

x²+2x-15=>

x²+5x-3x-15=x(x+5)-3(x+5)

(x-3)(x+5)

3x²-11x+6

3x²-9x-2x+6

3x(x-3)-2(x-3)

(x-3)(3x-2)

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

HCF-- (x-3)