Determine the coefficient and the degree of each term in the polynomial
-$$x ^ { 5 } + 7 x ^ { 3 } - x - 4$$
A) Coefficients: $1,7,0 , - 4$
degrees: $5,3,1,1$

B) Coefficients: $1,7 , - 1 , - 4$
degrees: $5,3,1,0$

C) Coefficients: $1,7 , - 1,4$
degrees: $5,4,1,0$

D) Coefficients: $1,7,1,4$
degrees: $5,3,1,0$

Question

Determine the coefficient and the degree of each term in the polynomial
-$$x ^ { 5 } + 7 x ^ { 3 } - x - 4$$
A) Coefficients: $1,7,0 , - 4$
degrees: $5,3,1,1$

B) Coefficients: $1,7 , - 1 , - 4$ 
degrees: $5,3,1,0$

C) Coefficients: $1,7 , - 1,4$
degrees: $5,4,1,0$

D) Coefficients: $1,7,1,4$  
degrees: $5,3,1,0$

Quizplus · Accepted Answer

The coefficient of each term is the number in front of the power of x, starting with the highest power term. So the coefficients are 1, 7, -1, and -4. The degree of each term is the power of x. So the degrees are 5, 3, 1, and 0. Choice B is the only one that has the correct coefficients and degrees for each term.

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