Question

Find the HCF of x^a+2 ,x^a+4,x^a+7​

Answer 1

Step-by-step explanation:

x

5

+2x

4

+x

3

andx

7

−x

5

⇒x

3

(x

2

+2x+1)⇒x

3

(x+1)(x+1)

x

7

−x

5

⇒=x

5

(x

2

−1)⇒x

5

(x+1)(x−1)

∴RequiredH.C.F=x

3

(x+1)