Prove that if (x-a) is a factor of the function f(x), then f(a) is zero.

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  • Опубликовано: 28 янв 2025

Комментарии • 5

  • @highdry6646
    @highdry6646 Год назад +1

    Remainder theorem that if a polynomial which maybe represented by f(x) has a factor of (x-k), then the remainder is f(k)=0.
    If a factor is (ax-b),then the remainder is f(b/a)=0.(as ax-b=0 ,x= b/a)

  • @hefesan
    @hefesan Год назад +1

    Why must x be equal to a though?

    • @helenmathstutor
      @helenmathstutor  Год назад

      Thank you for your question. We've let x=a because we are working out what f(a) is (and proving that it is 0)

    • @lythd
      @lythd Год назад +1

      it does not have to equal a (its a function so x can take any value) but u can still check the case where x does equal a