Podcast
Questions and Answers
What is the coefficient of the term 5x2 in the equation?
What is the coefficient of the term 5x2 in the equation?
- x2
- 2
- x
- 5 (correct)
What is the purpose of putting the terms of a polynomial in decreasing order of their exponents?
What is the purpose of putting the terms of a polynomial in decreasing order of their exponents?
- To simplify the polynomial
- To put the polynomial in standard form (correct)
- To identify the coefficient
- To find the degree of the polynomial
What is the degree of the polynomial -x4 + x2 + x?
What is the degree of the polynomial -x4 + x2 + x?
- 2
- 1
- 4 (correct)
- 3
How do you find the degree of a polynomial?
How do you find the degree of a polynomial?
What is the purpose of dropping the constants and coefficients?
What is the purpose of dropping the constants and coefficients?
What type of polynomial has a degree of 1?
What type of polynomial has a degree of 1?
What is the degree of the polynomial 3x2 - 3x4 - 5 + 2x + 2x2 - x?
What is the degree of the polynomial 3x2 - 3x4 - 5 + 2x + 2x2 - x?
What is the purpose of identifying the degree of a polynomial?
What is the purpose of identifying the degree of a 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
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Description
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.
