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

Respuesta :

Answer:

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).