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Math Help - polynomial expressions in standard form

  1. #1
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    polynomial expressions in standard form

    Need some help on these 3

    1.) x-6-23x to the 2nd power
    2.) Y to the 3rd power - 7y+8+3y to the 3rd power + 7y to the 2nd power -4
    3.) 4(T to the 2nd power + 3t -2) - 3(4t -1)
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  2. #2
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    Quote Originally Posted by MathMack View Post
    bump help please
    Bumping is rude. Please don't do it.

    Quote Originally Posted by MathMack View Post
    Need some help on these 3

    1.) x-6-23x to the 2nd power
    2.) Y to the 3rd power - 7y+8+3y to the 3rd power + 7y to the 2nd power -4
    3.) 4(T to the 2nd power + 3t -2) - 3(4t -1)
    If I understand you correctly, you need to simplify these and put them in standard form.

    1)
    x - 6 - 23x^2

    Put the term with the highest degree on the left-most side and work your way to the right, with the higher degrees to the left:
    -23x^2 + x - 6

    2)
    y^3 - 7y + 8 + 3y^3 + 7y^2 - 4

    Combine like terms first:
    = (y^3 + 3y^3) - 7y + (8 - 4) + 7y^2

    = 4y^3 - 7y + 4 + 7y^2

    Now order them:
    = 4y^3 + 7y^2 - 7y + 4

    3)
    4(t^2 + 3t - 2) - 3(4t - 1)

    Multiply it out first:
    = 4t^2 + 12t - 8 - 12t + 3

    Combine like terms:
    = 4t^2 + (12t - 12t) + (-8 + 3)

    = 4t^2 - 5

    -Dan
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