Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading
coefficient, and the degree of the polynomial.
-$$g ( x ) = \frac { 1 } { 2 } x ^ { 3 } - 12 x + 8$$
A) Linear; $- 12 x ; - 12 ; 1$
B) Quadratic; $\frac { 1 } { 2 } x ^ { 2 } ; \frac { 1 } { 2 } ; 2$
C) Cubic; $\frac { 1 } { 2 } x ^ { 3 } ; \frac { 1 } { 2 } ; 3$
D) Linear; $8 ; 8 ; 1$

Question

Quizplus · Accepted Answer

The polynomial is cubic because the highest power of $x$ is 3. The leading term is $\frac{1}{2}x^3$, the leading coefficient is $\frac{1}{2}$, and the degree is 3.

Classify the Polynomial as Constant, Linear, Quadratic, Cubic, or Quartic g(x)=12x3−12x+8g ( x ) = \frac { 1 } { 2 } x ^ { 3 } - 12 x + 8g(x)=21​x3−12x+8

Classify the Polynomial as Constant, Linear, Quadratic, Cubic, or Quartic $g ( x ) = \frac { 1 } { 2 } x ^ { 3 } - 12 x + 8$