Identifying the Polynomial- A Brainly Challenge on Polynomial Recognition

Which of the following is a polynomial brainly? This question often puzzles students who are just beginning to learn about polynomials. In this article, we will explore the concept of polynomials and help you understand how to identify one.

A polynomial is an expression consisting of variables and coefficients, combined using the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can be classified into different types based on the degree of the highest term. The degree of a polynomial is the highest exponent of the variable in the expression.

Now, let’s analyze the given options to determine which one is a polynomial:

1. 2x + 3y – 5
2. 3x^2 + 2x – 1
3. 5x^3 – 4x^2 + 3x – 2
4. 2x^2 + 3x + 4

To identify a polynomial, we need to check if the expression consists of variables and coefficients, and if the operations used are addition, subtraction, multiplication, and non-negative integer exponents.

Option 1 (2x + 3y – 5) is a polynomial because it consists of variables (x and y), coefficients (2, 3, and -5), and the operations are addition and subtraction.

Option 2 (3x^2 + 2x – 1) is also a polynomial because it meets the criteria mentioned above. The highest exponent is 2, which is a non-negative integer.

Option 3 (5x^3 – 4x^2 + 3x – 2) is a polynomial as well. The highest exponent is 3, which is a non-negative integer.

Option 4 (2x^2 + 3x + 4) is a polynomial too, as it follows the rules of polynomial formation. The highest exponent is 2, which is a non-negative integer.

In conclusion, all the given options are polynomials. However, if you had to choose one, you could say that “Option 4 (2x^2 + 3x + 4)” is a polynomial, as it is a simple quadratic polynomial with a clear highest exponent of 2.