8 Questions
What is the coefficient of the term 5x2 in the equation?
5
What is the purpose of putting the terms of a polynomial in decreasing order of their exponents?
To put the polynomial in standard form
What is the degree of the polynomial -x4 + x2 + x?
4
How do you find the degree of a polynomial?
Identify the largest exponent
What is the purpose of dropping the constants and coefficients?
To find the degree of the polynomial
What type of polynomial has a degree of 1?
Linear
What is the degree of the polynomial 3x2 - 3x4 - 5 + 2x + 2x2 - x?
4
What is the purpose of identifying the degree of a polynomial?
To classify the polynomial
Study Notes
Finding the Degree of a Polynomial
- To find the degree of a polynomial, coefficients are not necessary, so they can be ignored.
- Follow these steps to find the degree of a polynomial:
- Drop the constants and coefficients from the equation.
- Put the terms in decreasing order of their exponents (standard form).
- Find the power of the largest term, which is the exponent of the first term.
- Identify the power of the largest term as the degree of the polynomial.
Classification of Polynomials
- Polynomials in one variable are classified based on their degree as:
- Zero polynomial or constant polynomial
- Linear polynomial
- Quadratic polynomial
- Cubic polynomial
Learn how to identify and work with polynomials, including understanding coefficients, degrees, and standard form. Practice manipulating polynomials by dropping constants and coefficients and putting terms in decreasing order of their exponents.
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