## jiteshmeghwal9 Group Title Can anyone teach me about HCF of two polynomials ?? one year ago one year ago

1. ash2326 Group Title

Yeah. I can explain. Do you know how to find HCF of two no.s ?

2. jiteshmeghwal9 Group Title

yes !

3. ash2326 Group Title

Great :) Works the same way. Suppose I have two polynomials $x^2+4x+4\ \text{and}\ {x^2+5x+6}$

4. ash2326 Group Title

We need to find the highest common factor of these two. First step is to factor the polynomial (obviously only if they could be factored ). Can you factor these polynomials ?

5. jiteshmeghwal9 Group Title

okay !

6. jiteshmeghwal9 Group Title

x^2+2x+2x+4 x(x+2)+2(x+2) (x+2)^2 x^2+5x+6 x^2+3x+2x+6 x(x+3)+2(x+3) (x+2)(x+3)

7. ash2326 Group Title

Do you see any common factor in the polynomials ?

8. jiteshmeghwal9 Group Title

(x+2)

9. ash2326 Group Title

Yes, this is the only common factor and this is our HCF

10. ash2326 Group Title

If you have multiple common factors, just multiply all the common factors and that is your HCF

11. ash2326 Group Title

Do you understand this?

12. jiteshmeghwal9 Group Title

Ohh ! Thanx @ash2326 u were of a gr8 help :)

13. ash2326 Group Title

You're welcome :)

14. hartnn Group Title

yes. good explanation @ash2326 :)

15. ash2326 Group Title

Thanks @hartnn