Which of the following is a cubic polynomial?

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) polynomial is defined as an expression consisting of variables and coefficients,where the exponents of the variables must be non-negative integers

Vedclass · Accepted Answer

$p(x) = 2 - 3x - x^3$

Vedclass · Answer

(B) polynomial is defined as an expression consisting of variables and coefficients,where the exponents of the variables must be non-negative integers.$A$ cubic polynomial is a polynomial of degree $3$,meaning the highest power of the variable $x$ is $3$.In option $A$,the term $\sqrt{x}$ is $x^{1/2}$,which is not an integer.In option $B$,$p(x) = 2 - 3x - x^3$. The highest power of $x$ is $3$,and all exponents are non-negative integers. Thus,it is a cubic polynomial.In option $C$,$\sqrt{x^3} = x^{3/2}$,which is not an integer.In option $D$,the exponent $1/3$ is not an integer.Therefore,the correct option is $B$.

Similar Questions

The product of zeros of a cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ is $\ldots \ldots \ldots$

From the following figure,find the number of zeros of $y=p(x)$ :

Prove that $-6, -\frac{1}{2}$ and $1$ are the zeros of the cubic polynomial $p(x) = 2x^3 + 11x^2 - 7x - 6$. Also,verify the relationship between the zeros and the coefficients.

From the following figure,find the number of real zeros of $y=p(x)$:

$A$ cubic polynomial $p(x) = 4x^3 - x$ has ...... zeros.

Vedclass Test Series

Exam Paper Generator

Online Exam Module