Which of the following polynomials is a quadratic polynomial?
Practice Questions
Q1
Which of the following polynomials is a quadratic polynomial?
x^3 - 2x + 1
2x^2 + 3x - 5
4x + 7
x^4 - x^2 + 1
Questions & Step-by-Step Solutions
Which of the following polynomials is a quadratic polynomial?
Step 1: Understand what a polynomial is. A polynomial is a mathematical expression that can have constants, variables, and exponents, combined using addition, subtraction, and multiplication.
Step 2: Identify the degree of a polynomial. The degree is the highest exponent of the variable in the polynomial.
Step 3: Recognize what a quadratic polynomial is. A quadratic polynomial is a specific type of polynomial where the highest degree is 2.
Step 4: Look for the polynomial in the options given. Check each polynomial to see if it has a term with x raised to the power of 2 as the highest exponent.
Step 5: Confirm that the polynomial 2x^2 + 3x - 5 has a term with x^2, which means it is a quadratic polynomial.
