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# Ex.2.1 Q1 Polynomials Solution - NCERT Maths Class 9

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## Question

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

(i) \begin{align}4 x^{2}-3 x+7\end{align}

(ii) \begin{align}y^{2}+\sqrt{2}\end{align}

(iii) \begin{align}3 \sqrt{t}+t \sqrt{2}\end{align}

(iv)\begin{align} y+\frac{2}{y}\end{align}

(v)\begin{align}x^{10}+y^{3}+t^{50}\end{align}

Video Solution
Polynomials
Ex 2.1 | Question 1

## Text Solution

Steps :

(i) \begin{align}4 x^{2}-3 x+7 \rightarrow\end{align} Polynomial in one variable $$x.$$

(ii) \begin{align}y^{2}+\sqrt{2} \rightarrow\end{align} Polynomial in one variable $$y.$$

(iii) \begin{align}3 \sqrt{t}+t \sqrt{2} \rightarrow\end{align}  Not a polynomial, since the power of the variable in the first term is \begin{align}\frac{1}{2}\end{align} which is not a whole number.

(iv) \begin{align}y+\frac{2}{y} \rightarrow \end{align} Not a polynomial since the power of the variable in the second term is $$– 1$$ which is not a whole number.

(v) \begin{align}x^{10}+y^{3}+t^{50} \rightarrow \end{align} Not a polynomial in one variable since there are $$3$$ variables $$x, y, t.$$

Video Solution
Polynomials
Ex 2.1 | Question 1

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