# Ex.2.1 Q4 Polynomials Solution - NCERT Maths Class 9

## Question

Write the degree of each of the following polynomials:

(i) \(\begin{align}5 x^{3}+4 x^{2}+7 x \end{align}\)

(ii) \(\begin{align}4-y^{2}\end{align}\)

(iii) \(\begin{align}5 t-\sqrt{7} \end{align}\)

(iv) \(\begin{align}3\end{align}\)

## Text Solution

**Reasoning:**

The highest power of the variable in a polynomial is called as the degree of the polynomial.

**Steps:**

(i) Degree of \(\begin{align}5 x^{3}+4 x^{2}+7 x\;\rm{is}\;3\end{align}\) (the highest power of the variable \(x\))

(ii) Degree of \(\begin{align}4-y^{2}\;\rm{is}\;2\end{align}\) (the highest power of the variable \(y\))

(iii) Degree of \(\begin{align}5 t-\sqrt{7}\;\rm{is}\;1\end{align}\) (the highest power of the variable \(t\))

(iv) Degree of \(3\;\rm{is}\;0\) (degree of a constant polynomial is \(0\). Here \(3 = 3{x^\circ}\) )