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# Ex.2.1 Q5 Polynomials Solution - NCERT Maths Class 9

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## Question

Classify the following as linear, quadratic and cubic polynomials:

(i) \begin{align}x^{2}+x\end{align}

(ii) \begin{align}x-x^{3}\end{align}

(iii) \begin{align}y+y^{2}+4\end{align}

(iv) \begin{align}1+x\end{align}

(v) \begin{align}3 t\end{align}

(vi) \begin{align}r^{2}\end{align}

(vii) \begin{align}7 x^{3}\end{align}

Video Solution
Polynomials
Ex 2.1 | Question 5

## Text Solution

Reasoning:

A polynomial of degree one is called a linear polynomial.

A polynomial of degree two is called a quadratic polynomial.

A polynomial of degree three is called a cubic polynomial.

Steps:

(i) \begin{align}x^{2}+x \rightarrow\end{align} Quadratic polynomial since the degree is $$2.$$

(ii) \begin{align}x-x^{3} \rightarrow\end{align} Cubic polynomial since the degree is $$3.$$

(iii) \begin{align}y+y^{2}+4 \rightarrow\end{align} Quadratic polynomial since the degree is $$2.$$

(iv)\begin{align}1+x \rightarrow\end{align} Linear polynomial since the degree is $$1.$$

(v) \begin{align}3 t \rightarrow\end{align} Liner polynomial since the degree is $$1.$$

(vi) \begin{align}r^{2} \rightarrow\end{align} Quadratic polynomial since the degree is $$2.$$

(vii) \begin{align}7 x^{3} \rightarrow\end{align}  Cubic polynomial since the degree is $$3.$$

Video Solution
Polynomials
Ex 2.1 | Question 5

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