1. Polynomial Test Review

2. Identifying Monomials  No negative exponents  No division of a variable  No variable for an exponent 1. 2x²y yes 2. ab -1 no 3. p n no

3. Identify each as a monomial, binomial or trinomial.  Monomial is one term with no addition or subtraction  Binomial is two monomials  Trinomial is three monomials 1. 8 monomial 2. 7x²m³ monomial 3. 9a + 6b – c binomial

4. Degree of a polynomial  Find the number of variables in each monomial of the entire term.  The degree is the most amount of letters found. 1.5x First 2. 9z 5 b 6 + a 9 Eleventh 3. g 7 + g 8 – g 6 h 2 Eighth

5. Add/Subtract polynomials  Put monomials that have the same letter and the same exponent in the same groups.  Add or subtract the coefficients.  Do not add the exponents.

6. Examples of Addition/Subtraction 1.(f² + 4f – 1) + (2f² - 3f + 2) 3f 2 + f + 1 2. (9x + 5) – (2x – 4) 7x + 9 3. 5 + 2a + 3a² - a + 6 3a 2 + a + 11

7. Multiply Polynomials  Use Distributive Property  Multiply each part of the problem to be fair in your mathematics.  Binomials may be solved using FOIL, distributive, box and column methods.  Exponents change when you multiply.

8. Multiplication examples 1.2a(2a – 3) 4a 2 – 6a 2. (a + 2) (a + 6) a 2 + 8a + 12 3. (2b + 6) (4b – 10) 8b 2 + 14b - 60 4. (f – 2) (f + 2) f 2 - 4

9. Application Problem A triangle has a leg that measures 4x feet and a leg that measures 3x feet and a hypotenuse that measures 5x feet. 1.Find the perimeter. 12x feet 1.Find the Area. 6x 2 feet 2