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30 April, 05:01

What are the leading coefficient, constant term and degree, if any, of the algebraic expression (x - 1) (x^2+1)

a. leading coefficient: 1; constant term: - 1; degree: 3 b. leading coefficient: - 1; constant term: 1; degree: 3

c. leading coefficient: 1; constant term: 1; degree: - 3. d. none, expression is not a polynomial

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Answers (1)
  1. 30 April, 05:07
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    See below in bold.

    Step-by-step explanation:

    (x - 1) (x^2 + 1)

    = x (x^2 + 1) - 1 (x^2 + 1)

    = x^3 + x - x^2 - 1

    = x^3 - x^2 - x - 1.

    Leading coefficient = 1.

    Constant term = - 1.

    Degree = 3. (because of the x^3).
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