C23
Ashlie and Stefan
There are four main ways to solve a quadric equation:
· Factoring
· Completing the square
· Quadratic equation 
To factor you need two numbers that multiply to give ‘c’, as long as the equation is in general form and equal to zero (i.e.).Also you need two numbers that add to give ‘b’ in the equation.
Once you’ve found those two numbers, set them off in brackets so that when multiplied through it will equal the original equation.
Ex.
Then, set both of the brackets equal to the zero separately. Then move the number to the other side to find ‘x’ by itself.
Ex.
-If you can’t figure out what two numbers will multiply to give ‘c’, and two numbers that add to give ‘b’, you can use decomposition!-
Here are the steps to ‘decomposition’:
· find two numbers that multiply to give the same product as ‘’(assuming your equation is already in general form)
· find two numbers that add to give ‘b’
Once you’ve found the two numbers that will multiply to give the same product as , multiply them by ‘x’, then put them in place of ‘x’ in your equation. Then group and factor! After you’ve grouped and factored and everything’s in its bracket, set both of the brackets equal to zero and solve for ‘x’.
Ex. and
Note: You do not use both of the same brackets (ex. (x+2)) in the next part, you only use one… also if you do not have two brackets that are the same you’ve done something wrong.
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