1. Chapter 4 Review
Polynomials

2. Degree of a Monomial
Degree of a Polynomial
Coefficient
4x2y3z3
Degree =
Coefficient =
4x2y2z2 + 3xy3z + 7x4y3z3
Degree of the polynomial =

3. Laws of Exponents When multiplying variables, add the exponents
When raising a monomial to a power, multiply the exponents
3x2(4xy3)(y2)=
12x3y5
(2x2y3)4 =
16x8y12

4. Multiplying Polynomials
(3x + 1)2
(3x + 2) (5x + 7)
(3x + 2) (5x2 + 7x - 1)
(3x + 1)3

5. Factoring GCF Grouping Perfect Square Trinomials with a=1
Difference of Squares
Sum and Difference of Cubes

6. Special Products- Review
You need to be able to quickly recognize special products trinomials
Perfect Square Trinomials
a2 + 2ab + b2 = (a + b)2
a2 - 2ab + b2 = (a - b)2
Difference of Squares
a2 – b2 = (a +b)(a – b)
Sum and Difference of Cubes
a3 + b3 = (a + b) (a2 - ab + b2)
a3 - b3 = (a - b) (a2 + ab + b2)

7. Factoring- What pattern do you see?
x2 + 2x + 1
Perfect square trinomial
(x + 1)2
16x2 – 9
Difference of squares
(4x-3)(4x+3)
9x2- 12x + 4
(3x – 2)2
8x3 – 27
Difference of cubes
(2x – 3)(4x2 + 6x + 9)

8. Solving Polynomial Equations
Get everything = 0
Factor
Set each factor = 0 and solve for the variable
x2= x + 30
x2- x – 30 = 0
(x + 5)(x – 6)= 0
{-5, 6}

9. Word problems
A rectangle is twice as long as it is wide. If its length is increased by 4cm and its width is decreased by 3cm, the new rectangle formed has an area of 100 cm2. Find the length and width of the original rectangle.
Width = 8cm, Length = 16 cm

10. Frame/deck

11. Baseball Problem

12. Volume of a Box Problem