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14 April, 07:10

Which of the following shows that polynomials are closed under addition when two polynomials 4x + 6 and 2x2 - 8x - 4 are added? Select one:

a. 2x2 - 4x + 2 will be a polynomial

b. 2x2 - 4x + 2 may or may not be a polynomial

c. 2x2 - 12x - 10 will be a polynomial

d. 2x2 - 12x - 10 may or may not be a polynomial

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  1. 14 April, 07:32
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    The answer is a. 2x2 - 4x + 2 will be a polynomial

    (4x + 6) + (2x² - 8x - 4)

    = 4x + 6 + 2x² - 8x - 4

    = 2x² + (4x - 8x) + (6 - 4)

    = 2x² - 4x + 2

    And it is polynomial (it has more than 1 term)
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