Determine the coefficient and the degree of each term in the polynomial
-$$- 4 x ^ { 4 } - 14 x ^ { 2 } + 7 x + 5 x ^ { 6 }$$
A) Coefficients: $- 4 , - 14 , - 7 , - 5$
degrees: $4,2,1,6$

B) Coefficients: $4,2,1,6$
degrees: $- 4 , - 14,7,5$

C) Coefficients: $- 4 , - 14,7,5$
degrees: $4,2,0,6$

D) Coefficients: $- 4 , - 14,7,5$
degrees: $4,2,1,6$

Question

Determine the coefficient and the degree of each term in the polynomial
-$$- 4 x ^ { 4 } - 14 x ^ { 2 } + 7 x + 5 x ^ { 6 }$$
A) Coefficients: $- 4 , - 14 , - 7 , - 5$
degrees: $4,2,1,6$

B) Coefficients: $4,2,1,6$ 
degrees: $- 4 , - 14,7,5$

C) Coefficients: $- 4 , - 14,7,5$
degrees: $4,2,0,6$

D) Coefficients: $- 4 , - 14,7,5$ 
degrees: $4,2,1,6$

Quizplus · Accepted Answer

The coefficients of the polynomial terms are directly taken from the polynomial: -4 (for $x^4$), -14 (for $x^2$), 7 (for $x$), and 5 (for $x^6$). The degrees are the exponents of $x$ in each term: 4 (for $x^4$), 2 (for $x^2$), 1 (for $x$), and 6 (for $x^6$).

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