1. Polynomial Test Review

2. Simplify each expressionp5
4x7y8
a21 1

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

4. 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 8
monomial
x²m³
a + 6b – c
trinomial

5. 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. 5x
First
2. 9z5b6 + a9
Eleventh
3. g7 + g8 – g6h2
Eighth

6. Put in standard form and identify the leading coefficient.
x4 – 7x8 + 4x9 – 3x x9 - 7x8 + x4 – 3x2 + 2 ; 4

7. 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.

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

9. 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.

10. Multiplication examples
2a(2a – 3)
4a2 – 6a
2. (a + 2) (a + 6)
a2 + 8a + 12
3. (2b + 6) (4b – 10)
8b2 + 4b - 60

11. Multiply
4. (f – 2) (f + 2) f2 – 4 5. (3a + 2b)2 9a2 + 12ab + 4b2

12. Solve for t.
t(2t + 3) + 20 = 2t(t – 3) t = -20/9

13. Application Problem
A triangle has a leg that measures 4xfeet and a leg that measures 3xfeet and a hypotenuse that measures 5xfeet.
Find the perimeter.
12x feet
Find the Area.
6x2 feet 2