Question

Can anyone teach me about HCF of two polynomials ??

Answer 1

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

Answer 2

yes !

Answer 3

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

Answer 4

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 ?

Answer 5

okay !

Answer 6

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)

Answer 7

Do you see any common factor in the polynomials ?

Answer 8

(x+2)

Answer 9

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

Answer 10

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

Answer 11

Do you understand this?

Answer 12

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

Answer 13

You're welcome :)

Answer 14

yes. good explanation @ash2326 :)

Answer 15

Thanks @hartnn