To determine which of the following options is a polynomial, we need to understand what a polynomial is. A polynomial is a mathematical expression that consists of variables, coefficients, and mathematical operations such as addition, subtraction, and multiplication. It does not include division by variables or any other operations that result in a non-integer exponent.

Now, let's examine the options provided and determine if they meet the criteria of a polynomial:

1. 3x^2 + 2x - 1: This expression contains variables (x), coefficients (3, 2, -1), and only includes addition and multiplication operations. Therefore, it is a polynomial.

2. (x^2 + 1) / (x - 1): This expression includes division by a variable (x - 1), which is not allowed in a polynomial. Therefore, it is not a polynomial.

3. √x + 2: This expression includes a square root (√x), which is not allowed in a polynomial. Therefore, it is not a polynomial.

4. 4x^3 - 2x^2 + 5x - 7: This expression contains variables (x), coefficients (4, -2, 5, -7), and only includes addition and multiplication operations. Therefore, it is a polynomial.

Based on our analysis, options 1 and 4 are polynomials, while options 2 and 3 are not.

Question

To determine which of the following options is a polynomial, we need to understand what a polynomial is. A polynomial is a mathematical expression that consists of variables, coefficients, and mathematical operations such as addition, subtraction, and multiplication. It does not include division by variables or any other operations that result in a non-integer exponent.

Now, let's examine the options provided and determine if they meet the criteria of a polynomial:

1. 3x^2 + 2x - 1: This expression contains variables (x), coefficients (3, 2, -1), and only includes addition and multiplication operations. Therefore, it is a polynomial.

2. (x^2 + 1) / (x - 1): This expression includes division by a variable (x - 1), which is not allowed in a polynomial. Therefore, it is not a polynomial.

3. √x + 2: This expression includes a square root (√x), which is not allowed in a polynomial. Therefore, it is not a polynomial.

4. 4x^3 - 2x^2 + 5x - 7: This expression contains variables (x), coefficients (4, -2, 5, -7), and only includes addition and multiplication operations. Therefore, it is a polynomial.

Based on our analysis, options 1 and 4 are polynomials, while options 2 and 3 are not.

Knowee AI · Accepted Answer

To determine which of the following options is a polynomial, we need to understand what a polynomial is. A polynomial is a mathematical expression that consists of variables, coefficients, and mathematical operations such as addition, subtraction, and multiplication. It does not include division by variables or any other operations that result in a non-integer exponent.

Now, let's examine the options provided and determine if they meet the criteria of a polynomial:

1. 3x^2 + 2x - 1: This expression contains variables (x), coefficients (3, 2, -1), and only includes addition and multiplication operations. Therefore, it is a polynomial.

2. (x^2 + 1) / (x - 1): This expression includes division by a variable (x - 1), which is not allowed in a polynomial. Therefore, it is not a polynomial.

3. √x + 2: This expression includes a square root (√x), which is not allowed in a polynomial. Therefore, it is not a polynomial.

4. 4x^3 - 2x^2 + 5x - 7: This expression contains variables (x), coefficients (4, -2, 5, -7), and only includes addition and multiplication operations. Therefore, it is a polynomial.

Based on our analysis, options 1 and 4 are polynomials, while options 2 and 3 are not.

Which of the following is a polynomial?

Question

Solution

Similar Questions

Upgrade your grade with Knowee