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15 July, 04:24

What is true about the completely simplified sum of the polynomials 3x2y2 - 2xy5 and - 3x2y2 + 3x4y?

a) The sum is a trinomial with a degree of 5.

b) The sum is a trinomial with a degree of 6.

c) The sum is a binomial with a degree of 5.

d) The sum is a binomial with a degree of 6.

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  1. 15 July, 04:25
    0
    Add the polynomials

    3x^2y^2 - 2xy^5 + (-3x^2y^2 + 3x^4y)

    = 3x^2y^2 - 2xy^5 - 3x^2y^2 + 3x^4y

    = 3x^4y - 2xy^5

    The polynomial that has two terms is a Binomial.

    The sum of exponents of first term is 5.

    The sum of exponents of second term is 6.

    Thus, the degree of simplified sum is 6.

    D) The sum is a binomial with a degree of 6.
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