Question

Please help to solve this
Find H.C.F
m^3 - 1, m^4 + m^2 + 1, m^2+ m + 1​

Answer 1

m^2+m+1

Explanation:

• m^3 - 1= (m-1)(m^2+m+1)
• m^4 + m^2 + 1= m^4+2m^2+1 - m^2= (m^2+1)^2 -m^2= (m^2+m+1)(m^2-m+1)
• m^2+ m + 1​

HCF= m^2+m+1 which is the factor of all three polynomials