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Math Help - Simplify the Trinomial

  1. #1
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    Simplify the Trinomial

    How can I simplfy the trinomial 3x^3 + 5y^3 + 14?

    Is this the sum of cubes?

    If so, how is it done?

    Further instructions say to write CANNOT BE SIMPLIFIED if that is the case.

    I say this cannot be simplified more than it is.

    Am I correct?
    Last edited by nycmath; October 17th 2013 at 04:19 PM.
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  2. #2
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    Re: Simplify the Trinomial

    Hey nycmath.

    You have to specify what kind of simplification, but usually simplification refers to collecting like terms and then factorizing the expression.

    If we assume the above, then you are correct in saying that no further simplification exists.

    Just for your information, factorization means turning an expression into things like (x-a)(x-b) and so on. If we don't want to factorize but still simplify then we collect like terms like say 2y + y + 3 = 3y + 3 = 3(y+1).
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  3. #3
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    Re: Simplify the Trinomial

    Yes that is why this trinomial cannot be simplified.
    I believe the answer is SIMPLIFIED.
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    Re: Simplify the Trinomial

    Quote Originally Posted by nycmath View Post
    How can I simplfy the trinomial 3x^3 + 5y^3 + 14?

    Is this the sum of cubes?

    If so, how is it done?

    Further instructions say to write CANNOT BE SIMPLIFIED if that is the case.

    I say this cannot be simplified more than it is.

    Am I correct?
    Simplifying a question like this is quite ambiguous statement. Perhaps you need to understand it in the context of what was discussed in the chapter. It could be that the book wanted to simplify the trinomial by rewriting it in the form y = f(x). For that you should set the trinomial to 0, then place the x term and the constant on one side side of the equal sign and get the value of y from there.
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  5. #5
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    Re: Simplify the Trinomial

    Believe it or not, this question is from a 9th grade algebra textbook I was looking through at the library.
    I doubt that a ninth grader is expected to solve for y which, for this expression, means to take the cube root of both sides of the equation.
    I'd say the answer is SIMPLIFIED meaning the expression is already in lowest term. Your input?
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  6. #6
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    Re: Simplify the Trinomial

    Quote Originally Posted by nycmath View Post
    Believe it or not, this question is from a 9th grade algebra textbook I was looking through at the library.
    I doubt that a ninth grader is expected to solve for y which, for this expression, means to take the cube root of both sides of the equation.
    I'd say the answer is SIMPLIFIED meaning the expression is already in lowest term. Your input?
    Whether a 9th grader could work with cubic root, yes it depends on the individual states and districts. But more importantly is to look in the book you are using. Is there anything about working with cubes and cubic roots? If not then your comment is well taken.
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  7. #7
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    Re: Simplify the Trinomial

    I am always searching through math textbooks. I love looking for challenging questions.
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