## jiteshmeghwal9 3 years ago Can anyone teach me about HCF of two polynomials ??

1. ash2326

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

2. jiteshmeghwal9

yes !

3. ash2326

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

4. ash2326

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

okay !

6. jiteshmeghwal9

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

Do you see any common factor in the polynomials ?

8. jiteshmeghwal9

(x+2)

9. ash2326

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

10. ash2326

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

11. ash2326

Do you understand this?

12. jiteshmeghwal9

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

13. ash2326

You're welcome :)

14. hartnn

yes. good explanation @ash2326 :)

15. ash2326

Thanks @hartnn