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27 June, 00:39

Given the two expressions below: 1) 4x2 - 8x + 9 2) 3x2 + 2y + 6 Is the sum of the two expressions above a polynomial? Why or why not?

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  1. 27 June, 03:29
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    Sum of polynomials are always polynomials.

    Note that despite it's name, single constants, monomials, binomials, trinomials, and expressions with more than three terms are all polynomials.

    For example,

    0, π sqrt (2) x, 4x+2, x^2+3x+4, x^2-x^2, x^5+x / π - 1

    are all polynomials.

    What makes an expression NOT a polynomial?

    Expressions that contain non-integer or negative powers of variables, rational functions, infinite series.

    For example,

    sqrt (x+1), 1/x+4, 1+x + x^2/2!+x^3/3!+x^4/4! + ..., (5x+3) / (6x+7)

    are NOT polynomials.
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