Question

$p\left(x\right)=2x^3-3x^2-5$ is a ________ polynomial.

• A. Linear
• B. Cubic
• C. Quadratic
• D. Constant

Answer 1

The correct option is B Cubic

The general form of cubic polynomial is $p\left(x\right)=a{x}^3+b{x}^2+cx+d$ where $x$ is a variable and $a,b,c,d$ are constants. The first term of this polynomial has power $3$, the second term of this polynomial has power $2$ and the third term of this polynomial has power $1$ and therefore, the degree of the polynomial is the largest exponent that is $3$.

Similarly, in the polynomial $p\left(x\right)=2x^3-3x^2-5$, the first term of this polynomial has power $3$ and the second term of this polynomial has power $2$ and therefore, the degree of the polynomial is the largest exponent that is $3$.

Hence, the polynomial $p\left(x\right)=2x^3-3x^2-5$ is a cubic polynomial.