1. Polynomials and Special Products
Sec. p.3
Polynomials and Special Products

2. Polynomial Algebraic expression usually with multiple terms.
Ex. 2x + 5; 3x4 – 7x2 + 2x + 4
Polynomials in x
Ex. 5x2y2 – xy + 3
Polynomials in x & y

3. 1 term
2 terms
3 terms
Monomial
Binomial
Trinomial

4. Terms of polynomials in x
axk
Degree of term
coefficient

5. 2x3 – 5x2 +1 What are the coefficients?
What is the degree of each term?

6. Degree of Polynomial
Highest exponent in the expression. (largest degree of the terms)
Leading coefficient
The coefficient of the term with the highest exponent
Constant term
the constant
Standard Form
Descending powers of x

7. If there is more than 1 variable
The degree of the terms are obtained by adding exponents
The degree of the polynomial is the degree of the highest degree term

8. Zero Polynomial
All coefficients are 0
Has no degree

9. Ex. 1 in workbook Can add or subtract by combining like terms
For the product of polynomials take each term of the 1st polynomial and distribute it to the 2nd polynomial.
Remember with binomials use FOIL