Which of the following is not a polynomial in | vedclass

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

Question

(C) polynomial is an algebraic expression where the exponents of the variable must be non-negative integers.In option $A$,$4x^2 + \sqrt{7}$,the expone

Vedclass · Accepted Answer

$3x^2 - 5\sqrt{x} + 2$

Vedclass · Answer

(C) polynomial is an algebraic expression where the exponents of the variable must be non-negative integers.In option $A$,$4x^2 + \sqrt{7}$,the exponent of $x$ is $2$,which is a non-negative integer.In option $B$,$3x^2 + x - 1$,the exponents of $x$ are $2$ and $1$,which are non-negative integers.In option $C$,$3x^2 - 5\sqrt{x} + 2$,the term $\sqrt{x}$ can be written as $x^{1/2}$. Since $1/2$ is not an integer,this expression is not a polynomial.In option $D$,$3x - 1$,the exponent of $x$ is $1$,which is a non-negative integer.Therefore,$3x^2 - 5\sqrt{x} + 2$ is not a polynomial.

Which of the following is not a polynomial in variable $x$?

Similar Questions

Find a quadratic polynomial,each with the given numbers as the sum and product of its zeroes respectively: $1, 1$.

Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients: $x^{2}-2x-8$.

If $\alpha$ and $\beta$ are the zeros of the polynomial $P(x) = x^2 - 3x + 2k$ and $\alpha + \beta = \alpha\beta$,then the value of $k$ is:

Every quadratic polynomial has at the most ......... zero/s.

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$y^{2}+\frac{3}{2} \sqrt{5} y-5$

Vedclass Test Series

Exam Paper Generator

Online Exam Module