A polynomial is a sum of terms with non-negative integer exponents. 3x^2 + 2x - 1 fits this definition.
Which of the following is a polynomial?
Practice Questions
Q1
Which of the following is a polynomial?
3x^2 + 2x - 1
1/x + 2
sqrt(x) + 3
ln(x)
Questions & Step-by-Step Solutions
Which of the following is a polynomial?
Step 1: Understand what a polynomial is. A polynomial is an expression made up of terms that can include numbers, variables, and exponents.
Step 2: Identify the key characteristics of a polynomial. The exponents of the variables must be non-negative integers (like 0, 1, 2, etc.).
Step 3: Look at the expression given: 3x^2 + 2x - 1.
Step 4: Check each term in the expression. The first term is 3x^2, where the exponent is 2 (a non-negative integer). The second term is 2x, where the exponent is 1 (also a non-negative integer). The last term is -1, which can be thought of as -1x^0 (where the exponent is 0, again a non-negative integer).
Step 5: Since all terms have non-negative integer exponents, the expression 3x^2 + 2x - 1 is indeed a polynomial.
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