Find the HCF and LCM of the polynomials (y2 - 5y + 6) and (y2 - y - 2).
Explanation:
(y2 - 5y + 6) and (y2 - 7y + 10) y2 - 5y + 6 = (y2 - 3y - 2y + 6) = (y2 - 3y) - (2y - 6) = y(y - 3) - 2(y - 3) = (y - 3) (y - 2) y2 – y - 2 = (y2 - 2y + y - 2) = (y2 - 2y) + (y - 2) = y(y - 2) + (y - 2) = (y + 1)(y - 2) LCM = (y - 2) (y - 3) (y + 1)
HCF = (y - 2)
Hence, option (a).
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