jiteshmeghwal9
Can anyone teach me about HCF of two polynomials ??
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ash2326
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Yeah. I can explain. Do you know how to find HCF of two no.s ?
jiteshmeghwal9
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yes !
ash2326
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Great :) Works the same way.
Suppose I have two polynomials
\[x^2+4x+4\ \text{and}\ {x^2+5x+6}\]
ash2326
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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 ?
jiteshmeghwal9
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okay !
jiteshmeghwal9
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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)
ash2326
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Do you see any common factor in the polynomials ?
jiteshmeghwal9
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(x+2)
ash2326
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Yes, this is the only common factor and this is our HCF
ash2326
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If you have multiple common factors, just multiply all the common factors and that is your HCF
ash2326
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Do you understand this?
jiteshmeghwal9
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Ohh ! Thanx @ash2326 u were of a gr8 help :)
ash2326
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You're welcome :)
hartnn
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yes. good explanation @ash2326 :)
ash2326
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Thanks @hartnn