2x - 1. Determine the degree of the following polynomial

Solution:

Given, the polynomial is 2x - 1

We have to find the degree of the polynomial.

The highest degree exponent term of the polynomial is known as the degree of the polynomial.

Types of polynomial based on degree,

1) zero polynomial - all the coefficients of the polynomial are zero.

2) Constant polynomial - polynomial with highest degree as zero, it has no variable only constants.

3) Linear polynomial - polynomial with highest degree as one

4) Quadratic polynomial - polynomial with highest degree as two

5) Cubic polynomial - polynomial with highest degree as three.

6) Bi-Quadratic or quartic polynomial - polynomial with highest degree as four.

7) Quintic polynomial - polynomial with highest degree as five

8) Sextic or hexic polynomial - polynomial with highest degree as 6

9) Septic or heptic polynomial - polynomial with highest degree as 7

The highest degree exponent of x in 2x - 1 is one.

2x - 1 is a linear polynomial

Therefore, the degree of the polynomial is one.

✦ Try This: Determine the degree of the following polynomial : a + 1

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2

NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 2(i)

2x - 1. Determine the degree of the following polynomial

Summary:

A linear polynomial is defined as any polynomial expressed in the form of an equation of p(x) = ax + b, where a and b are real numbers and a ≠ 0. 2x - 1 is a linear polynomial. The degree of the polynomial is one

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