By.. Ms.Patsara Aroonmeesri

1. Introduction of Polynomial For M.1 By.. Ms.Patsara Aroonmeesri Kumphawapi School

2. Such as Polynomial A polynomial is a sum or a difference of monomials. 6+x –x2y2 m5–9 2x–3x2 x+y2 x-y+z

3. There are special names for polynomials with 1, 2 or 3 terms: 8, 7x, 3xy2, abc , ... These are one term and called “Monomials”. 6+x, 2x3+5y, 9xy2 –3x y , … These are two terms and called “Binomials”. x+y+2x2, a2–bc+c3, 5+3m–n , … These are three terms and called “Trinomials”.

4. The degree of a polynomial The degree of a polynomial isthe greatest degree of the terms. Such as 5x3y + 3x2y5 – 2y2 The degree of – 2y2 is 2. The degree of 3x2y5 is 2+5 = 7 The degree of 5x3y is 3+1 = 4 Therefore the degree of 5x3y+3x2y5–2y2is 7.

5. x2+4xy3 4.) Exercise: Classify each item as a polynomial or not . If it is a polynomial, indicate what its degree. 6.) 18 1.) 2x3–3x5+6x2–6 7.) a 2.) x0.5+3x2 8.) 15x-3 3.) 5–x6+3x 9.) x2+x3+x4 10.) 1.6+x 5.) 9xyz+3x5+6

6. x2+4xy3 Ans. It’s a polynomial. The degree is 5. 4.) Answers 1.) 2x3–3x5+6x2–6 Ans. It’s a polynomial. The degree is 5. 2.) x0.5+3x2 Ans.It is not a polynomial. Because the power of x0.5 is not whole number.(0.5 is a decimal) 3.) 5–x6+3x Ans. It’s a polynomial. The degree is 6. 5.) 9xyz+3x2+6 Ans. It’s a polynomial. The degree is 3. 6.) 18 Ans. It’s a polynomial. The degree is 0. 7.) a Ans. It’s a polynomial. The degree is 1. 8.) 15x-3 Ans.It is not a polynomial. Because the power of x-3 is not whole number.(-3 is a negative number) 9.) x2+x3+x4 Ans.It’s a polynomial. The degree is 4. 10.) 1.6+x Ans.It’s a polynomial. The degree is 1.

7. Thanks for learning. Bye Bye