Question

Write the degree of each of the following polynomials: 

(i) 5x ³ + 4x ² + 7x (ii) 4 – y ² (iii) 5t – √7 (iv) 3.

Answer 1

Degree of a polynomial is the highest power of the variable in the polynomial.

(i) 5x³ + 4x² + 7x 

This is a polynomial in variable x and the highest power of variable x is 3. Therefore, the degree of this polynomial is 3.

(ii) 4 - y² 

This is a polynomial in variable y and the highest power of variable y is 2. Therefore, the degree of this polynomial is 2.

(iii) 5t - √7 

This is a polynomial in variable t and the highest power of variable t is 1. Therefore, the degree of this polynomial is 1.

(iv) 3

This is a constant polynomial. Degree of a constant polynomial is always 0.