STANDARD FORM FACTORING
Common Factoring
This is when you find a number that the three numbers in your equation can get divided by
Simple Trinomial Factoring
A simple trinomial looks like ax² + bx + c but in this case the a is always 1 and is shown as just x²
Complex Trinomial Factoring
A complex trinomial looks like ax² + bx + c but in this case the a is always greater than 1
Perfect Square TrinomiaL FACTORING
A perfect square trinomial is when the a and c values in the equation ax² + b + c are squared
Difference of Squares
Difference of squares is when the two numbers that are being subtracted are both squared
Quadratic Formula
THIS IS USED TO SOLVE EQUATIONS IN STANDARD FORM
When you get an equation such as x² + 3x - 4= 0
1) You sub in the a, b, and c values into the formula
a= 1 b= 3 c= -4
x= -3+- √3² - 4(1)(-4) / 2(1)
2) You solve inside the √
3² - 4(2)(-20)
9+16= 25
3)You square root the number in the square root
-3+- √25/ 2
√25= 5
4) You add then subtract -b to the number then divide by 2(a) and get 2 answers.
Answer 1: -3 -5/2= -4
Answer 2: -3 + 5/2= 1
WHAT IF THERE IS NO ZERO?
If there is no zero in the problem then you will have to make one side equal zero yourself.
Example: 4b² + 8b + 7= 4
To make this problem have ne side that is equal to zero I will subtract the 4 from both sides.
4b² + 8b + 7 - 4= 4 - 4
4b² + 8b + 3= 0
a= 4 b= 8 c=3