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    Hi, just confused on trinomials and quadratic equations.

    A trinomial is an algebraic expression consisting of three terms.

    A quadratic must have an x^2 in to be a quadratic right? So they are not the same?

    Just need a clearer explanation as I'm confused .
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    I don't think they are x^7 + 3x^5 + 3 is a trinomial, not a quadratic

    x^2 + 5 is a quadratic but not a trinomial
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    A quadratic is a function of x2 and x.

    Haven't heard of a 'trinomial' before but with that definition it could encompass anything like x4 + 3x3 - x = 0 could it not? Which definitely isn't a quadratic.
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    Polynomial is of the form \displaystyle a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0,~a_n \neq 0

    Trinomial is a polynomial consisting of three terms.

    Quadratic is a polynomial with highest degree of 2.

    Example: x^50+x^4+1 is a trinomial. (Since it is a polynomial with 3 terms)

    x^2+2x is a quadratic. (Since it has highest degree 2)

    x^2+4x+4 (is both a trinomal and a quadratic)

    x^3+4x^2 is neither.
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    (Original post by Dinasaurus)
    I don't think they are x^7 + 3x^-5 + 3 is a trinomial, not a quadratic

    x^2 + 5 is a quadratic but not a trinomial
    I don't think it would be would it, since it's not even a polynomial so it is automatically not a trinomial.
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    (Original post by poorform)
    Polynomial is of the form \displaystyle a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0,~a_n \neq 0

    Trinomial is a polynomial consisting of three terms.

    Quadratic is a polynomial with highest degree of 2.

    Example: x^50+x^4+1 is a trinomial. (Since it is a polynomial with 3 terms)

    x^2+2x is a quadratic. (Since it has highest degree 2)

    x^2+4x+4 (is both a trinomal and a quadratic)

    x^3+4x^2 is neither.
    Thank you, that makes perfect sense .
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    (Original post by marcus888)
    Thank you, that makes perfect sense .
    You're welcome
 
 
 
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