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Questions and Answers
Which operations are involved in a polynomial expression?
Which operations are involved in a polynomial expression?
- Addition, subtraction, multiplication, and division (correct)
- Multiplication and subtraction
- Addition and subtraction
- Multiplication and division
What is the degree of an nth degree polynomial?
What is the degree of an nth degree polynomial?
- The number of terms in the polynomial
- The value of n
- The sum of the coefficients in the polynomial
- The highest power of the variable in the polynomial (correct)
What is the definition of the degree of a polynomial?
What is the definition of the degree of a polynomial?
- The constant term in the polynomial
- The sum of the coefficients in the polynomial
- The highest power of the variable in the polynomial (correct)
- The number of terms in the polynomial
Which of the following is an example of an nth degree polynomial?
Which of the following is an example of an nth degree polynomial?
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What is the highest power of the variable in the polynomial $3x^4 - 2x^3 + 5$?
What is the highest power of the variable in the polynomial $3x^4 - 2x^3 + 5$?
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Study Notes
Polynomial Expressions
- A polynomial expression involves only three operations: addition, subtraction, and multiplication.
Degree of a Polynomial
- The degree of an nth degree polynomial is n.
- The degree of a polynomial is defined as the highest power of the variable in the polynomial.
Examples of Polynomials
- An example of an nth degree polynomial is a polynomial with the variable raised to the power of n.
Degree of a Specific Polynomial
- The highest power of the variable in the polynomial $3x^4 - 2x^3 + 5$ is 4, making it a 4th degree polynomial.
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