Podcast
Questions and Answers
Which term in the polynomial has a power of 3?
Which term in the polynomial has a power of 3?
- p
- 1/2
- p^3 (correct)
- p^2
What is the degree of the polynomial m^2 + 2n^3 - sqrt(3) * m^4?
What is the degree of the polynomial m^2 + 2n^3 - sqrt(3) * m^4?
- 4
- 3
- 1
- 2 (correct)
What is the degree of the polynomial 6?
What is the degree of the polynomial 6?
- 2
- 3
- 0 (correct)
- 1
What is the degree of the polynomial p^3 - 1/2 * p^2 + p?
What is the degree of the polynomial p^3 - 1/2 * p^2 + p?
What is the degree of the polynomial y^2 - 5?
What is the degree of the polynomial y^2 - 5?
Flashcards
Degree of a Polynomial
Degree of a Polynomial
The highest power of a variable in the polynomial. It's the biggest exponent.
Power of a Variable
Power of a Variable
The power of a variable is the number that appears above it, indicating how many times the variable is multiplied by itself. For example, in x^3, the power of x is 3.
Degree of a Constant Polynomial
Degree of a Constant Polynomial
The degree of a polynomial is 0 when there are no variables with any powers. It represents a constant term. For example, the polynomial 5 has a degree of 0.
Finding the Degree
Finding the Degree
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Highest Power Term
Highest Power Term
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Study Notes
Identifying Terms in Polynomials
- In a polynomial, the term with a power of 3 is the one with the variable(s) raised to the power of 3.
Degree of Polynomials
- The degree of the polynomial m^2 + 2n^3 - sqrt(3) * m^4 is 4, as it is the highest power of the variables (m and n).
- The degree of the polynomial 6 is 0, as it is a constant with no variables.
- The degree of the polynomial p^3 - 1/2 * p^2 + p is 3, as it is the highest power of the variable (p).
- The degree of the polynomial y^2 - 5 is 2, as it is the highest power of the variable (y).
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Description
Test your knowledge on polynomials with this quiz! Explore topics such as degree of the polynomial, value of the polynomial, operations on polynomials, synthetic division, and the remainder theorem. Identify monomials and binomials, and learn to analyze different terms in a polynomial expression.
