Presentation on theme: "Adding and Subtracting Polynomials Section 0.3. Polynomial A polynomial in x is an algebraic expression of the form: The degree of the polynomial is n."— Presentation transcript:
Polynomial A polynomial in x is an algebraic expression of the form: The degree of the polynomial is n (largest exponent) The leading coefficient is ( the coefficient on term with highest exponent) The constant term is (the term without a variable) The polynomial should be written in standard form. (Decreasing order according to exponents)
Polynomials Leading Coefficient : Degree: Constant: 4 3 -9
Polynomials Naming a polynomial: 1 term - monomial 2 terms - binomial 3 terms - trinomial 4 or more - terms polynomial Example 2x + 7 has 2 terms so it is called a binomial
Classifying Polynomials (a)2 t + 7 4 The polynomial cannot be simplified. The degree is 4. The polynomial is a binomial. The polynomial can be simplified. The degree is 2. The simplified polynomial is a monomial. (b)3 e + 5 e – 9 e 222 = – e 2 Two terms. One term.
Combine like terms and put the polynomial in standard form. What degree is the polynomial? Name the polynomial by the number of terms. Degree is 5 Trinomial