Question

HCF of two polynomials p(x)= (x-3) (x^2+x-2) and q(x)= x^2 -5x+6 is (x-3) then their lcm is



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Answer 1

Answer:

Step-by-step explanation:

Given P(X) = (x-3)(x²+x-2)

Q(X)= (x²-5x+6)

Factorise Q(X)

Q(X)=X²-5x+6

Q(X)=x²-3x-2x+6

Q(X)= (x-3)(x-2)

HCF = COMMON factors=(x-3)

LCM= (x-3)(x²+x-2)(x-2)

Thus , LCM= (x²-5x+6)(x²+x-2)