Partial Fractions: Quadratic Factor

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  • Опубліковано 4 жов 2024
  • Simple example separating a fraction into 2 fractions, one linear & one quadratic factor in the denominator, equating coefficients

КОМЕНТАРІ • 60

  • @williamlee4353
    @williamlee4353 3 роки тому +4

    Thanks a lot Jay. I loved it!! You've helped me to solve my misconception.

  • @gabrielremilekun4619
    @gabrielremilekun4619 Рік тому +2

    Thank you for choosing to solve the hard types

  • @nurzahanmukta220
    @nurzahanmukta220 Рік тому

    Thank you Ma'am. It was life-saving

  • @zuhanisthar
    @zuhanisthar Рік тому

    Crystal clear jay! Thank you. You made it easier 🤍

  • @sbmathsyt5306
    @sbmathsyt5306 4 роки тому +1

    Hi Jay,
    We love the content and think you are a great teacher. We are a relatively new maths channel and any tips on how we could improve our content would be much appreciated

    • @MathsWithJay
      @MathsWithJay  4 роки тому

      Are you planning to include a voiceover?

    • @sbmathsyt5306
      @sbmathsyt5306 4 роки тому

      @@MathsWithJay yes it is something I plan to do

    • @MathsWithJay
      @MathsWithJay  2 роки тому

      @SB MathsYT....I've just looked at a couple of your recent videos...adding audio is working well

    • @sbmathsyt5306
      @sbmathsyt5306 2 роки тому

      @@MathsWithJay Thank you very much that is much appreciated.

  • @limxinhuibbss7739
    @limxinhuibbss7739 Рік тому

    1:36 if the highest power of x in the numerator is the same as that in the denominator, would the fraction become improper? Having some trouble understanding how there can be no constant if highest power is x, your help is greatly appreciated!

  • @AgastyaKrothapalli
    @AgastyaKrothapalli 4 роки тому +2

    Great video :>

  • @ipuoleanthony3454
    @ipuoleanthony3454 2 роки тому

    The last part where u had 7=A+C got me confused. Why did u pick just the coefficient of x^2 and A+C leaving the other terms?

    • @MathsWithJay
      @MathsWithJay  2 роки тому

      Because we already know B and C, we want to choose an option that includes A and one of B or C ( or both B and C). There are many options. I could have chosen to look at the coefficients of x....that would give 3 = A + B. If you are not happy with equating coefficients, you could just sub in another value for x...x=1 would be a good one to choose.

  • @Mpr91
    @Mpr91 2 роки тому

    Thank you very much.

  • @വാളയാര്പരമശിവം-ധ9ട

    Sir
    Px+q/(s+1) (s+1)
    What will be the form
    Pls replay 🙏

  • @uv7304
    @uv7304 Рік тому

    Thank you❤

  • @aivkhairulamirin9004
    @aivkhairulamirin9004 2 роки тому +1

    Thank you Sir

  • @chongweechan2392
    @chongweechan2392 2 роки тому

    should we factorise x^2-3 into (x+sqrt3)(x-sqrt3) first?

    • @MathsWithJay
      @MathsWithJay  2 роки тому

      No! Why?

    • @chongweechan2392
      @chongweechan2392 2 роки тому

      @@MathsWithJay because i saw two different answers for this situation, either separate it into two linear terms or keep it as a quadratic term. Is it because it is more convenient to do integration when we separate it into two linear terms?

  • @davelaguerre3392
    @davelaguerre3392 3 роки тому

    Hello thanks for the video. But why did we use x= -1 & x=0 ?

    • @MathsWithJay
      @MathsWithJay  3 роки тому +1

      -1 makes x+1=0, and we can't make the other bracket zero with an integer, so 0 is the next best choice

  • @zahraahsan9959
    @zahraahsan9959 3 роки тому

    7x^2 + 3x - 14 / (x^2-3)(x+1) aren’t the highest degree of powers in both the numerator and denominator
    = 3 , on each side?

    • @zahraahsan9959
      @zahraahsan9959 3 роки тому

      therefore making it improper?

    • @MathsWithJay
      @MathsWithJay  3 роки тому

      The highest degree in the numerator is 2....look at the power in the first term

    • @zahraahsan9959
      @zahraahsan9959 3 роки тому

      @@MathsWithJay so we compare only the highest power of any term in the expression? we don’t add the over all powers, right?

    • @MathsWithJay
      @MathsWithJay  3 роки тому +1

      Right!

    • @zahraahsan9959
      @zahraahsan9959 3 роки тому +1

      @@MathsWithJay ok, thank you!

  • @sorewahimitsu
    @sorewahimitsu 2 роки тому

    thanks jay!

  • @fluffycats6732
    @fluffycats6732 2 роки тому

    Hello Jay, please can u stream more like this problem. For ex, make L the subject : L^~64L/2xy+8= cube root (L^-64)^\square root (Lxy+4)^ . Can u help please?

    • @MathsWithJay
      @MathsWithJay  2 роки тому

      Have you seen these: ua-cam.com/play/PLgQUIweMg9eL3f824vQbXG3TP8ZbuzF1f.html

  • @beniditolevu1822
    @beniditolevu1822 3 роки тому

    I'm still confused with how you got A=2 😕

  • @洛生
    @洛生 4 роки тому +1

    Good! I subed

    • @MathsWithJay
      @MathsWithJay  4 роки тому

      @Lok Ming Tai: Excellent! Thank you!

  • @TheresaMakiyi-g4o
    @TheresaMakiyi-g4o 10 днів тому

    Thanks

  • @erikmartinez8735
    @erikmartinez8735 Рік тому

    thankyou

  • @dtp3azikri71
    @dtp3azikri71 3 роки тому

    how got B-15?

  • @kaushalgunga4453
    @kaushalgunga4453 4 роки тому

    Thanks 🚀🚀🚀

  • @kianhassibi5929
    @kianhassibi5929 2 роки тому

    thanks

  • @dorcusndawa
    @dorcusndawa 4 місяці тому

    Where's 2 Coming from