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jiteshmeghwal9

  • 3 years ago

Can anyone teach me about HCF of two polynomials ??

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  1. ash2326
    • 3 years ago
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    Yeah. I can explain. Do you know how to find HCF of two no.s ?

  2. jiteshmeghwal9
    • 3 years ago
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    yes !

  3. ash2326
    • 3 years ago
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    Great :) Works the same way. Suppose I have two polynomials \[x^2+4x+4\ \text{and}\ {x^2+5x+6}\]

  4. ash2326
    • 3 years ago
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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 ?

  5. jiteshmeghwal9
    • 3 years ago
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    okay !

  6. jiteshmeghwal9
    • 3 years ago
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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)

  7. ash2326
    • 3 years ago
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    Do you see any common factor in the polynomials ?

  8. jiteshmeghwal9
    • 3 years ago
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    (x+2)

  9. ash2326
    • 3 years ago
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    Yes, this is the only common factor and this is our HCF

  10. ash2326
    • 3 years ago
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    If you have multiple common factors, just multiply all the common factors and that is your HCF

  11. ash2326
    • 3 years ago
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    Do you understand this?

  12. jiteshmeghwal9
    • 3 years ago
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    Ohh ! Thanx @ash2326 u were of a gr8 help :)

  13. ash2326
    • 3 years ago
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    You're welcome :)

  14. hartnn
    • 3 years ago
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    yes. good explanation @ash2326 :)

  15. ash2326
    • 3 years ago
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    Thanks @hartnn

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