Question

what is hcf of (x^2-1)AND (x^4+x^3+x^2-1)​

Answer 1

Answer:

Step-by-step explanation:

Factors of x²-1 & x⁴+x³+x²-1

X²-1=x²-1²=(x+1)(x-1)

x⁴+x³+x²-1 = x³(x+1)+(x²-1²)=x³(x+1)+(x+1)(x-1)= (x+1)(x³-1)

Common factor = (x+1)

Hence hcf of x²-1 & x⁴+x³+x²-1 is (x+1)