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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Mathematics

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)

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Moises Riley · Answer 1

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).