1. Unit 1: Quadratics
Final Exam Review

2. Topics to cover Multiplying Polynomials GCF Factoring
Solving Quadratic Equations

3. Multiplying Polynomials
When multiplying polynomials, use the DISTRIBUTIVE PROPERTY
Multiply every term in the FIRST polynomial to every term in the SECOND polynomial.
Example
(4x + 3)(2x – 9)  4x(2x) + 4x(-9) + 3(2x) + 3(-9) =
8x2 – 30x – 27

4. Multiplying polynomials
Try this one now:
Multiply: (2x – 1)(3x2 – 2x + 1)

5. GCF GCF stands for GREATEST COMMON FACTOR
When finding the GCF of terms, follow these steps:
Find the LARGEST number that the 2 terms have in common and take it out
Find the largest amount of VARIABLES that the 2 terms have in common and take it out
To write what is left over, start with the NUMBERS, and then finish with the VARIABLES

6. GCF
Watch this Video for an example

7. GCF
Try this one now:
Factor out the GCF of 12x3y2 – 16x4y

8. FACTORING
Factoring helps you to find where a function crosses the X AXIS
Steps to follow when factoring – USE THE X BOX
Draw an X
For the number on the top of the X, MULTIPLY the FIRST number by the LAST number
For the number on the bottom of the X, write the MIDDLE number
Figure out which 2 numbers will MULTIPLY to get the top number on the X and ADD to get the bottom number on the X
DRAW A BOX by placing the first term in the TOP LEFT , the last term in the BOTTOM RIGHT and the 2 numbers in the X in the MIDDLE 2 BOXES
Then take out the GCF from all boxes.
Use your GCF and what was left over to write your equation in factored form

9. FACTORING
Try this one now:
Factor 4x2 – 9x + 2

10. SOLVING QUADRATIC EQUATIONS
Solving Quadratic Equations allows you to solve for x.
Steps to follow when solving quadratic equations:
Make sure the equation is equal to 0. If not, move everything over to the left side so that the equation does equal 0.
Factor
Set each factor equal to 0 and then SOLVE for x
Most of the time, there will be 2 answers.

11. Solving quadratic equations
Try this one now:
Solve for X: 2x2 + 7x + 6 = 0

12. ALL DONE!