Write whether the following statement is True | vedclass

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

Question

(B) The given expression is $\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1$.$A$ polynomial is an algebraic expression in which the exponents of all variables

Vedclass · Accepted Answer

False

Vedclass · Answer

(B) The given expression is $\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1$.$A$ polynomial is an algebraic expression in which the exponents of all variables are non-negative integers (whole numbers).In the given expression,the exponent of the variable $x$ is $\frac{1}{2}$.Since $\frac{1}{2}$ is not a whole number,the expression is not a polynomial.Therefore,the statement is False.

Write whether the following statement is True or False. Justify your answer.
$\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1$ is a polynomial.

Similar Questions

Is the following expression a polynomial? Justify your answer:
$8$

Classify the following as linear,quadratic,or cubic polynomial: $4y + 11$.

Find the value of the polynomial $x^{2}-7x+12$ at $x=4$.

Expand $(x+3)(x+8)$.

Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $(x-1)(3 x-4)$
$(ii)$ $(2 x-5)(2 x^{2}-3 x+1)$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Write whether the following statement is True or False. Justify your answer.$\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1$ is a polynomial.