Determine the coefficient and the degree of each term in the polynomial
-$$9 x ^ { 4 } - 5 x + 3$$
A) Coefficients: 9, $- 5,3$;
degrees: 4, 1, 0

B) Coefficients: $4,1,0$;
degrees: $9 , - 5,3$

C) Coefficients: 9, 5, $- 3$;
degrees: $4,1,0$

D) Coefficients: $4,1,0$;
degrees: $9,5 , - 3$

Question

Determine the coefficient and the degree of each term in the polynomial
-$$9 x ^ { 4 } - 5 x + 3$$
A) Coefficients: 9, $- 5,3$;
degrees: 4, 1, 0

B) Coefficients: $4,1,0$; 
degrees: $9 , - 5,3$

C) Coefficients: 9, 5, $- 3$;
degrees: $4,1,0$

D) Coefficients: $4,1,0$;
degrees: $9,5 , - 3$

Quizplus · Accepted Answer

The coefficient of a term is the numerical factor in front of the variable raised to a certain power. 
The degree of a term is the exponent to which the variable is raised.

So, in the given polynomial: 
- The coefficient of the term $9 x ^ { 4 }$ is 9, and its degree is 4. 
- The coefficient of the term $-5x$ is $-5$, and its degree is 1. 
- The coefficient of the term 3 is 3, and its degree is 0 (since it has no variable).

Therefore, the correct choice is A.

Determine the Coefficient and the Degree of Each Term in the Polynomial