Question

find the LCM and HCF of the polynomials 12 (x^4-x^3) and (x^4-3x^3+2x^2)​

Answer 1

Answer:

12(x^4-x^3)=12x^3(x-1)

x^4-3x^3+2x^2=x^2(x^2-3x+2)=x^2(x-1)(x-2)

LCM=12×x^3(x-1)(x-2)

HCF = x^2(x-1)

Answer 2

HCF of 12

HCF= x²(x-1)

Step-by-step explanation:

HCF of 12 (x⁴-x³) and (x⁴-3x³+2x²)

=12(x⁴-x³)=12x³(x-1)

and

x⁴-3x³+2x²=x²(x²-3x+2)

=x²(x-1)(x-2)

HCF=x²(x-1)