Multiplying Binomials by the FOIL Method

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  • Опубліковано 14 жов 2024
  • We just learned how to add and subtract polynomials, so now we have to learn how to multiply them. This is a little tricky at first, but once we master the FOIL method, it's easy as pie!
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КОМЕНТАРІ • 115

  • @Nicole32778
    @Nicole32778 7 місяців тому +19

    This is my 33rd video in three days. You’ve done wonders to help me, a highschool drop out, make strides towards getting my ged and improve my life. Your videos have given me so much confidence already I cherish this playlist so much thank you for showing me the elegance and beauty of math that the education system tried to hide from us. They over complicate it and make it boring intentionally so we don’t have a thirst for knowledge when we’re older. I’m trying to work against that programming and your videos have helped that process so much!!! Thank you a million!!

  • @Tusharplays69
    @Tusharplays69 Рік тому +17

    I'd thought it would be a lot harder than It came out. Thanks prof for everything; even though it's years old, still helping learners like me to learn.

  • @wenckebakker2306
    @wenckebakker2306 4 роки тому +172

    Anyone else getting assignments from school that we haven’t learned how to do

  • @spectralyte
    @spectralyte 5 місяців тому +4

    Tried multiplying the trinomials at 5:10 in my head. Ended up with "3x^2 - y^2 + 2xy + 2x - 6y - 8." Could be completely wrong, but even just being able to attempt this without pencil and paper is more progress than I ever thought I'd make in just a few days. It's small, but I feel like I'm evolving thanks to this series. It's a cool feeling. Thanks for making these.

  • @maddiegrace9520
    @maddiegrace9520 4 роки тому +26

    Thanks a lot Professor Dave that was helpful!

  • @letustravel2685
    @letustravel2685 4 роки тому +11

    i think you're the best teacher i've ever seen

  • @joninmirage8946
    @joninmirage8946 3 роки тому +6

    This Video is Amazing it helped me so much with my Performance Task in Math Keep up the Great Work.

  • @thegoodlydragon7452
    @thegoodlydragon7452 5 років тому +21

    Glad you explained that what you're actually doing is applying the distributive property of each monomial twice. Most teachers just tell you to memorize FOIL without explaining. So I tried something a little different and distributed each monomial by the binomial term separately, which ended up being Last Inner Outer Middle and it gave me the correct answer. Just curious as to whether this would work every time.

    • @goawqebt6931
      @goawqebt6931 2 роки тому +2

      It should work every time
      Edit: just realized, this is 2 years old

    • @david-rr8pi
      @david-rr8pi 2 роки тому +1

      FOIL to LIOF same steps but backwards

  • @jmcxoxo8043
    @jmcxoxo8043 9 місяців тому

    This playlist really helped me recalling all my knowledge in mathematics. Thank you so much Professor Dave!

  • @عبدالإله-ح1د
    @عبدالإله-ح1د 3 роки тому +4

    his introductory music became national anthem for science.

  • @karinamironets9124
    @karinamironets9124 6 місяців тому +1

    Man I love this guy he is so good at explaining

  • @projectdarksea2472
    @projectdarksea2472 3 роки тому +4

    Good teacher,love from India 🇮🇳

  • @JoeDebunks
    @JoeDebunks 2 дні тому

    Nothing more heavenly then getting all the questions right!

  • @pixeltitan1153
    @pixeltitan1153 4 роки тому +4

    My teacher just sent me this link, it actually is helpful, btw you can use this strategy on all polynomial expressions and equations right?

  • @ABD_Craft
    @ABD_Craft Місяць тому

    You are the best
    I learned so much from this series 😊

  • @spencerpanes8748
    @spencerpanes8748 2 роки тому +6

    When you feel satisfaction in solving equations then you're on the right track...

  • @MojisolaObayan
    @MojisolaObayan 2 місяці тому

    This topic was incredibly interesting and simple

  • @joester0577
    @joester0577 2 роки тому +2

    thanks for getting me interested in math and science!

  • @numbobot531
    @numbobot531 4 роки тому +3

    Thank you for teaching me!!!!!!!! I subscribed to you!

  • @adrianomoraesesilva6177
    @adrianomoraesesilva6177 2 роки тому +3

    A bit confused about "listing according to convention". Why can we do it if subtractions are not commutative?

  • @dawid8265
    @dawid8265 2 роки тому +1

    This video is a life saver, talk you!!!

  • @raffysinag2863
    @raffysinag2863 3 роки тому +1

    Thanks alot fropesor dave it helpful

  • @Yourotherfriend66
    @Yourotherfriend66 2 роки тому

    Thank you so much I'm writing a test tomorrow and you have saved me

  • @themandalorian9175
    @themandalorian9175 3 роки тому

    i love the intro and thanks this helped a little

  • @teamkalokohanyt123
    @teamkalokohanyt123 3 роки тому +1

    Thank you so much for making this clear. I'm confused all the time!

  • @ScarletEmber64
    @ScarletEmber64 3 роки тому +4

    This guy knows how to explain stuff
    I'll come back here if I ever have trouble with math class (^_^)

  • @mustafasaber5076
    @mustafasaber5076 Місяць тому

    (1) X² + 12
    (2) x² -1
    (3) 6x -45

  • @allisonzarbl8205
    @allisonzarbl8205 4 роки тому +2

    wow this was so helpful! :D thanks a lot!

  • @paulinejuliaencela3609
    @paulinejuliaencela3609 5 років тому +3

    Thank you for teaching me! Subscribing!

  • @adrianalli1461
    @adrianalli1461 3 роки тому

    Thank you so much 😊😊

  • @YoutubeMember-pg3zb
    @YoutubeMember-pg3zb 5 років тому +1

    Thank you

  • @jananiramachandranthegreat741

    very helpful video

  • @StanbyMode
    @StanbyMode 2 роки тому

    6x^2 - 17x - 45

  • @tGoldenPhoenix
    @tGoldenPhoenix 2 роки тому

    Done this lesson.

  • @Ryusoul_Red_Edits
    @Ryusoul_Red_Edits 4 роки тому +1

    I love it

  • @dumpling543
    @dumpling543 4 роки тому +5

    Thank you, my math teacher explained it like a roller coaster so i understood nothing

  • @joseagnirjrlegacyhs9754
    @joseagnirjrlegacyhs9754 8 місяців тому

    May I know what is the related standard for this lesson?

  • @intheclutch4618
    @intheclutch4618 2 роки тому +1

    If you did 2x-9y x+3y where does the y go in the third step of foil?

    • @ta_ogboy9998
      @ta_ogboy9998 Рік тому +1

      @Twerk-o-tron -9 times 3 is -27, and it would be -27y^2. Other than that, I believe you are correct.
      2x^2 - 3xy - 27y^2

  • @roboboi1571
    @roboboi1571 Рік тому

    I know I'm late, but I really don't get the fourth comprehension. Did I miss something where you said you can split up the 6x^2 into a 2x in one binomial and 3x in the other? According to your earlier example at 5:23, I should calculate like this: [n(6x)+mx=-13x]. But none of the factors of -5 ((5,1 1,5 5,-1 -1,5 -5,1 1,-5 -5,-1 -1,-5)) add up to -13. Help!

  • @Newversion96
    @Newversion96 2 роки тому

    nice for all of them

  • @giannacatimbang1756
    @giannacatimbang1756 3 роки тому +1

    Thank you so much for this TvT

  • @littleretroship6403
    @littleretroship6403 2 роки тому

    So it’s like you’re distributing but with several terms. Ex: (a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd

  • @StanbyMode
    @StanbyMode 2 роки тому

    x^2 + 4x + 12

  • @ClassicGal
    @ClassicGal 2 роки тому

    Teaching a demo lesson for Teachers Fellows soon, and this was explained a bit too fast for me.

  • @gabbygist242
    @gabbygist242 2 роки тому

    1:00

  • @StanbyMode
    @StanbyMode 2 роки тому

    x^3 + x - 2x^2 - 2

  • @mackenzie5277
    @mackenzie5277 4 роки тому +2

    My prof just links your videos for our lectures hahaha

  • @RodMigz08
    @RodMigz08 2 місяці тому

    5:40 shouldn't it be -27x?

  • @avarius3361
    @avarius3361 4 роки тому

    Its quite easy i only missed up the order in which it was in

  • @venusmaevillanueva
    @venusmaevillanueva 2 місяці тому

    BRUH MY BRAIN IS NOT BRAINING😭😭

  • @gachaleia720
    @gachaleia720 4 роки тому

    When combining which sign do you choose?
    Do you choose the sign of the higher value of the other?

  • @xzyllepearlsantuya8229
    @xzyllepearlsantuya8229 5 років тому +1

    How about (x + 3) (x + 3) ??

  • @geggyboy1269
    @geggyboy1269 9 місяців тому

    Great video! Just change your theme song. 😉

  • @gideonbanman6359
    @gideonbanman6359 Рік тому +2

    real

  • @bluebrowney251
    @bluebrowney251 3 роки тому

    Is using the box method ok?

    • @ta_ogboy9998
      @ta_ogboy9998 Рік тому +1

      I don't think there's any problem with it

  • @linkfaron262
    @linkfaron262 5 років тому +9

    Who’s here from Mr. swain’s class?

  • @meepsonic
    @meepsonic 4 роки тому

    I cannot go to school today because there is a quarantine lockdown so my mom says you'll let enroll online on July 15, 2020 to July 31, 2020

  • @actuallynowone6543
    @actuallynowone6543 4 роки тому

    Why did -2x and +3x when combined become x?

  • @mamadwali4278
    @mamadwali4278 2 місяці тому

    ❤❤❤

  • @davefreeman8928
    @davefreeman8928 4 роки тому +1

    So if I combine like terms... the all just become x? Even though in the last lesson I learned you add them together??? Huh?????

  • @davemoreno4071
    @davemoreno4071 2 роки тому

    king

  • @Itsmer22
    @Itsmer22 4 роки тому

    how to nultiply binomial using foil method

  • @urikalast7370
    @urikalast7370 4 роки тому +1

    Hey that is so easy

  • @monkeydthrystan3285
    @monkeydthrystan3285 4 роки тому

    Why 4x+7x=7x
    I know 4x+7x=7x2

  • @jhemardacaymat9390
    @jhemardacaymat9390 2 роки тому

    (×-6)(×+5)=5
    Pls help thanks in advance😊😊😊

  • @Maomaoezra
    @Maomaoezra 4 роки тому +1

    The math jesus

  • @aram5642
    @aram5642 4 роки тому +2

    IMO it's overcomplicating simple stuff.

  • @megamagladon3187
    @megamagladon3187 5 місяців тому

    😂❤😂😢😮😊😮😢🎉🎉😊

  • @oddystef8893
    @oddystef8893 5 років тому +1

    Mr paratakis class

  • @tessieigben4771
    @tessieigben4771 4 роки тому

    i'm 380th like

  • @LaurenGray06
    @LaurenGray06 4 роки тому +1

    anyone here from ms. gregory’s class

  • @abdulazizalrasheed6253
    @abdulazizalrasheed6253 5 років тому +6

    We don’t care bro

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  5 років тому +22

      Then why would you click on this, bro?

    • @abdulazizalrasheed6253
      @abdulazizalrasheed6253 5 років тому +6

      Savage 👍

    • @Yuto_YT
      @Yuto_YT 4 роки тому +6

      You dont care bc you probably dont even understand it not even when they show you how specifically I've got an idea there's a option to slow down the video maybe there you would understand it BRO

    • @jamacianv1ncecuh882
      @jamacianv1ncecuh882 4 роки тому +2

      @@ProfessorDaveExplains sir I love how you break it down. You help a lot of people

  • @stevenscottoddballz
    @stevenscottoddballz 2 роки тому

    Mine is a bit more complicated. Please show me how to do this one. (2/3 - 6) (2/3 - 6).

    • @marsbars1105
      @marsbars1105 2 роки тому

      Using foil:
      (2/3 * 2/3) + (2/3 * -6) + (-6 * 2/3) + (6 * 6)
      = 4/9 + -8 + 36
      = 28 and 4/9ths

  • @megamagladon3187
    @megamagladon3187 5 місяців тому

    😂❤😂😢😮😊😮😢🎉🎉😊