Mastering nth Degree Polynomials

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5 Questions

Which operations are involved in a polynomial expression?

Addition, subtraction, multiplication, and division

What is the degree of an nth degree polynomial?

The highest power of the variable in the polynomial

What is the definition of the degree of a polynomial?

The highest power of the variable in the polynomial

Which of the following is an example of an nth degree polynomial?

$2x^3 + 5x^2 - 3x + 1$

What is the highest power of the variable in the polynomial $3x^4 - 2x^3 + 5$?

4

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.

Test your understanding of nth degree polynomials with this quiz! Learn about the general form and solve examples to solidify your knowledge.

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