Which polynomial has a degree of 3?

Practice Questions

Q1
Which polynomial has a degree of 3?
  1. x^2 + 2
  2. 2x^3 + x
  3. x + 1
  4. 3

Questions & Step-by-Step Solutions

Which polynomial has a degree of 3?
Correct Answer: 2x^3 + x
  • Step 1: Understand what a polynomial is. A polynomial is a mathematical expression that can include numbers, variables (like x), and exponents.
  • Step 2: Identify the degree of a polynomial. The degree is the highest exponent of the variable in the polynomial.
  • Step 3: Look at the given polynomial, which is 2x^3 + x.
  • Step 4: Find the exponents of each term in the polynomial. The first term, 2x^3, has an exponent of 3. The second term, x, has an exponent of 1.
  • Step 5: Compare the exponents. The highest exponent in the polynomial 2x^3 + x is 3.
  • Step 6: Conclude that since the highest exponent is 3, the polynomial 2x^3 + x has a degree of 3.
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