Question

Find the HCF and LCM of x^2-5x+6 and -3x^2+7x+6​

Answer 1

Answer:

Let p(x)=90(x

2

−5x+6)(2x+1)

2

=5×2×3×3(x

2

−2x−3x+6)(2x+1)

2

=5×2×3×3(x(x−2)−3(x−2))(2x+1)

2

=5×2×3×3(x−2)(x−3)(2x+1)

2

Let q(x)=140(x−3)

2

(2x

2

+15x+7)

=2×2×5×7(x−3)

2

(2x

2

+14x+x+7)

=2×2×5×7(x−3)

2

(2x(x+7)+(x+7))

=2×2×5×7(x−3)

2

(x+7)(2x+1)

L.C.M of p(x) and q(x) is

=2

2

×3

2

×5×7(x−2)(x−3)

2

(2x+1)

2

(x+7)