Question
Which expressions are polynomials?
Select each correct answer.
Responses
6 + w
6 + w
2x4−y
2 x being power 4 end power minus y
z + 1
Select each correct answer.
Responses
6 + w
6 + w
2x4−y
2 x being power 4 end power minus y
z + 1
Answers
GPT-4o mini
To determine which expressions are polynomials, we need to recall the definition of a polynomial. A polynomial is an expression composed of variables, coefficients, and non-negative integer exponents.
Let's examine each option:
1. **6 + w**: This is a polynomial because it consists of the constant 6 and the variable \( w \) raised to the power of 1.
2. **2x^4 − y**: This expression is not a polynomial because while \( 2x^4 \) is a polynomial term, \( -y \) can be problematic if \( y \) represents a variable with a negative power or if it involves any operations that violate the definition of polynomials, like division by \( y \) or negative exponents. However, if we assume \( y \) is just another variable (and thus \( -y \) is also valid), there is no violation, making
Let's examine each option:
1. **6 + w**: This is a polynomial because it consists of the constant 6 and the variable \( w \) raised to the power of 1.
2. **2x^4 − y**: This expression is not a polynomial because while \( 2x^4 \) is a polynomial term, \( -y \) can be problematic if \( y \) represents a variable with a negative power or if it involves any operations that violate the definition of polynomials, like division by \( y \) or negative exponents. However, if we assume \( y \) is just another variable (and thus \( -y \) is also valid), there is no violation, making