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31 October, 20:56

For each polynomial, determine the degree and write the polynomial in descending order.

A. - 4x^2 - 12 + 11x^4

B. 2x^5 + 14 - 3x^4 + 7x + 3x^3

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Answers (2)
  1. 31 October, 21:11
    0
    A. 11x4-4x2-12

    B. 2x5-3x4+3x3+7x+14
  2. 31 October, 21:24
    0
    A) Degree: 4

    Descending order: 11x^4 - 4x^2 - 12

    B) Degree: 5

    Descending order: 2x^5 - 3x^4 + 3x^3 + 7x + 14

    Step-by-step explanation:

    Let's start with A. In descending order, the exponents of the polynomial go down with each term. The term with the largest exponent is 11x^4, so this goes first. Next is - 4x^2, so this goes 2nd. Last is - 12. So, we have 11x^4 - 4x^2 - 12. To find the degree, it's just the largest exponent, so it is 4.

    Now for B. The largest exponent is 5, so the degree is 5, and that term is 2x^5, so this will go first. Keep on looking for the next highest exponent untill you get down to 14, so the answer is 2x^5 - 3x^4 + 3x^3 + 7x + 14.
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