Question

Write down the degree of following polynomials in x .

$2x^3-x^2+4$

Answer 1

Finding the degree of polynomial x .

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

Here, the polynomial $2x^3-x^2+4$ having three term .

So, The exponent of the first term $2x^3=3$

The exponent of the second term $-x^2=2$

The third term is constant polynomial so the degree of the constant polynomial is 0. it can be written as $2x^0$.

The exponent of the third term $4=4x^0=0$

Since, the greatest exponent is $3$.
Hence, the degree of the polynomial is $3$.