Question

the HCF of polynomial (x^2 - 2X + 1)(X + 4) and (X^2 + 3x-4)(x + 1) is​

Answer 1

Answer:

x-1

Step-by-step explanation:

Fully factor each expression:

($x^{2}$-2x+1)(x+4)=$(x-1)^{2}$(x+4)

($x^{2}$+3x-4)(x+1)=(x-1)(x+4)(x+1)

Look for any factors they have in common. Notice that (x-1) is the only factor they share. Therefore, x-1 is the highest common factor of these expressions.