Question

Which statements are true about the polynomial 4x-6+8r-12? Check all that apply.

A) The polynomial has a degree of 1.
B) The polynomial has no constant term.
C) The polynomial has a coefficient of -6 for the x term.
D) The polynomial has a coefficient of 8 for the r term.

Answer 1

The polynomial 4x-6+8r-12 has a degree of 1, a coefficient of -6 for the x term, and a coefficient of 8 for the r term.

Step-by-step explanation:

To determine which statements are true about the polynomial 4x-6+8r-12, we can analyze each statement:

1. A) The degree of a polynomial is the highest power of the variable. In this case, the highest power is 1, since all the terms have x and r to the power of 1. Therefore, Statement A is true.
2. B) The constant term in a polynomial is the term with no variable. In this case, the constant term is -12. Therefore, Statement B is false.
3. C) The coefficient of a variable term is the number multiplied by the variable. In this case, the coefficient of the x term is -6. Therefore, Statement C is true.
4. D) The coefficient of a variable term is the number multiplied by the variable. In this case, the coefficient of the r term is 8. Therefore, Statement D is true.

Based on the analysis, Statements A, C, and D are true.