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Math Help - Not understanding polynomials

  1. #1
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    Post Not understanding polynomials

    I do know what a polynomial is..... but this problem I don't understand

    ( y2-3y+6) (y1-3y2+y3) =

    y3+y2-3y2-3y+y+6 =

    Why does the above equal y3-2y2-2y+6? I know you have to combine the like terms, Like terms are like y2 - 3y2 Right???
    How are they adding the like terms, these are the steps I'm not understanding.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Leona_Marie View Post
    I do know what a polynomial is..... but this problem I don't understand

    ( y2-3y+6)+ (y1-3y2+y3) =

    y3+y2-3y2-3y+y+6 =

    Why does the above equal y3-2y2-2y+6? I know you have to combine the like terms, Like terms are like y2 - 3y2 Right???
    How are they adding the like terms, these are the steps I'm not understanding.
    Hello Leona,

    You left out an important operator in your original expression. I assume you want to add these two polynomials together.

    Your first step is correct: y^3+y^2-3y^2-3y+y+6

    And you are correct about combining like terms. So let's group them together.

    y^3+(y^2-3y^2)+(-3y+y)+6

    Combining the terms in parentheses, we arrive at

    y^3-2y^2-2y+6


    as expected.
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  3. #3
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    Smile

    Thankyou for your quick reply, It helped me understand. I thought that like terms were like y x w. Im very new to this.
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