Which of the Following is Not a Polynomial?

A Quick Guide to Polynomials

A polynomial is an expression made up of variables and constants which are combined using addition, subtraction, multiplication, and division. The variables can be anything, such as x, y, z, or t, and the constants can be any real number. Polynomials can have any degree, which means the highest power of the variable in the expression. For example, x² + 2x + 3 is a polynomial of degree 2.

Examples of Polynomials

Some examples of polynomials are: 4x²-2x+1, 8x³+7x²-6, and 5x⁴-3x²+2. As you can see, all of these expressions have only variables and constants, and no other operations. This is what distinguishes them from other types of equations.

Which of the Following is Not a Polynomial?

Now that you know what a polynomial is, you might be wondering which of the following is not a polynomial: x² + 2x + 3, 5x²/2, 3x² – 2/x, or 4x² – 7x + 5? The answer is 5x²/2. This expression has two operations, multiplication and division, which disqualifies it from being a polynomial.

Conclusion

In conclusion, a polynomial is an expression made up of variables and constants combined using addition, subtraction, multiplication, and division. The highest power of the variable in the expression determines its degree. Of the four expressions given, only three of them are polynomials: x² + 2x + 3, 3x² – 2/x, and 4x² – 7x + 5. The expression 5x²/2 is not a polynomial because it has two operations, multiplication and division.