Multiply Trinomial by binomial in 5 secs

  • 29June
  • 2012
  • 3
    3.4k
    hi friends, today i gonna show how to multiply binomial by a trinomial in 5 secs

    Example : (X+2) (X^2 + 3X +2)

    Step 1: multiply the 1st term of each polynomial to get the 1st term of the answer..


    Answer : (X)^3+ ------- + -------- + --------- ; X Multiplied with X^2

    Step 2: Multiply the last term of each polynomial to get the last term of the Answer..




    Answer: (X)2 + --------- + --------- + 4; 2X2 = 4

    Step 3 : Rainbow Multiply the First 2 Terms of each Polynomial to get the first middle term of The
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    Answer



    Answer: (X)^3 + 5(X)^2 + ---------- + 4 ; 3(x)^2 + 2(x)^2

    Step 4 : Rainbow Multiply the Last 2 Terms of each Polynomial to get the Last middle term of The Answer
    [Image: 950d8c55b88c47ffb03c7c7.png]

    Answer: (X)^3 + 5(X)^2 + 8X + 40




    Normal way


    (X+2) (X^2 + 3X + 2)

    = X(X^2 + 3X + 2) + 2 ((X)^2 + 3X + 2)
    = (X)^3 + 3(X)^2 + 2X + 2(X)^2 + 6X + 4
    = (X)^3 + 5(X)^2 + 8X + 4

    SOURCE : My Experiment
    [Image: An9XX.gif]
    Can u post with an Example ? its not clear for me Step 3 & 4
    Step 3 :
    [Image: b2a081480520469abaa9d68.png]


    Step 4 :
    [Image: 950d8c55b88c47ffb03c7c7.png]
    [Image: An9XX.gif]