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21 January, 05:58

Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x. x4 - 3x + 1, 4x2 - 2x + 8, and x3 - 9

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  1. 21 January, 09:23
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    x⁴ + x³ + 4x² - 5x

    Step-by-step explanation:

    The polynomials given in the question are:

    x⁴ - 3x + 1

    4x² - 2x + 8

    x³ - 9

    We have to add all them

    First write all the polynomial in the summation form:

    (x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

    Open the brackets:

    x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

    Group together the similar terms

    (x⁴) + (x³) + (4x²) + (-3x - 2x) + (1 + 8 - 9)

    Finding the sum in brackets:

    x⁴ + x³ + 4x² + (-5x) + (0)

    x⁴ + x³ + 4x² - 5x

    Note that the sum is in descending powers of x
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