Question

Vocabulary Practice 3x²−2x+9 What is the coefficient of x²? What is the coefficient of x? What is the constant term? What is the degree of the polynomial?

A. 3; -2; 9; 2
B. -3; 2; -9; 3
C. 3; -2; -9; 2
D. -3; -2; 9; 3

Answer 1

The coefficient of x² in the polynomial 3x²−2x+9 is 3, the coefficient of x is -2, the constant term is 9, and the polynomial's degree is 2.

Step-by-step explanation:

The student's question involves identifying different components of a polynomial equation. The coefficient of x² is the number that is multiplied by x². In the given polynomial 3x²−2x+9, the coefficient of x² is 3. The coefficient of x is the number in front of the x with no exponent, which here is -2. The constant term is the term without any variables, which is 9 in this polynomial. The degree of the polynomial is the highest exponent of x, which in this case is 2, as seen in the term 3x². The correct answer to the question is A. 3; -2; 9; 2.