Polynomials in Algebra: Essential Concepts and Examples
Learn the fundamentals of polynomials in algebra, including types of polynomials, coefficients, like terms, and degrees of terms. Explore examples to enhance your understanding.
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Presentation Transcript
5.5 POLYNOMIALS 5.5 POLYNOMIALS ALGEBRA CONCEPTS ALGEBRA CONCEPTS
What is a Polynomial? What is a Polynomial? A Monomial or a Sum of Monomials Examples: 5y + 3 3x2+ 2x 5
Types of Polynomials Types of Polynomials Name # Terms Example Monomial 1 2x 8xy2- 4 Binomial 2 5x4 - 3x2+ 9 Trinomial 3
Coefficient Coefficient The number in front of the variable TERMS TERMS Separated by addition or subtraction
Identify the Terms and Coefficients of Each Term Identify the Terms and Coefficients of Each Term 4?2+ 2? 5
Identify the Terms and Coefficients of Each Term Identify the Terms and Coefficients of Each Term 2?4?3 3?2?3 ?? + 3
Like Terms Like Terms Same variable Same exponent
Ex.1) Ex.1) Collect Like Terms Collect Like Terms 3?5?4 6?5 ?5?4+ 2?5
Ex.2) Ex.2) Collect Like Terms Collect Like Terms 7?3? + 3?3 ?3+ ?3?
Ex.3) Ex.3) Collect Like Terms Collect Like Terms 5 2?3 4? 3?3
Degree of a Term: The sum of the exponents of the variables Degree of a Polynomial: The highest degree of its terms
Ex.4) Identify the degree of each term and the Ex.4) Identify the degree of each term and the degree of the polynomial. degree of the polynomial. ?????+ ??? + ?
Ex.5) Identify the degree of each term and the Ex.5) Identify the degree of each term and the degree of the polynomial degree of the polynomial ????? ?????+ ?????+ ???
