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Which polynomial has a degree of 3?
Which polynomial has a degree of 3?
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Practice Questions
1 question
Q1
Which polynomial has a degree of 3?
x^2 + 2
2x^3 + x
x + 1
3
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The polynomial 2x^3 + x has the highest exponent of 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Which polynomial has a degree of 3?
Solution:
The polynomial 2x^3 + x has the highest exponent of 3.
Steps: 6
Show Steps
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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