3x^5 + 7x^3 - 5

Which of the following lists the coefficients and degrees of the terms in the polynomial shown?

A. Coefficients: 3, 7, -5 ; Degrees: 5, 3, 0

B. Coefficients: 3, 7, -5 ; Degrees: 5, 3, 1

C. Coefficients: 5, 3, 0 ; Degrees: 3, 7, -5

D. Coefficients: 5, 3, 1 ; Degrees: 3, 7, -5 (A, B, and E)

The question requires and understanding of how to use mathematical terms to identify parts of expressions and describe expression. A term is an expression consists of the product of a coefficient, which is a number, and one or more variables raised to a positive exponents. The coefficients of the terms in the expression are 2, 17, 14, 8 and 1 so option (A) is correct. The consistent term, 1, is a simplified version of 1x^0y^0, and if written this way, each of the five terms can be seen to contain x and y as variables; so option (B) is correct. The degrees of the monomials are 2, 2, 3, 3, and 0, so the degree of the expression is 3 and hence option (E) is correct.