Introduction to Quadratics
Polynomials
FOIL:
Foil is used when you have two binomial brackets. There are four steps for Foil, as you can see there are four letters in F.O.I.L
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F : First- You multiply the first diget in the first braket by the first diget of the second braket
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O: Outside- You multiply the first diget in the first bracket with the second diget of the seconf bracket
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I : Inner- You multiply the second diget of the first bracket by the first diget of the second bracket
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L : Last- You multiply the second diget of the first bracket by the second diget of the second bracket
The Distributive Property
The Distributive Property is when you take a value that is multiplying a number or more in brakets and share that value to each individual value.
For example, 5(4+x) will change to 5(4)+5(x), this is because every value in the brackets will be multiplyed by the value outside of the brackets. So in this situation itll be the 5 that will multiply with the values in the brackets.
Product and Sum and Difference
You can convert to and from a given equation using Product and Sum and Difference. For example, (a^2)-(b^2). The two Binomials are being multipled in the brackets and subtracted together. This is when you can use Product and Sum and Difference. The answer you will get will be (a+b)(a-b). This is correct because you can use FOIL to check.
(a+b)(a-b)
=a^2-ab+ab-b^2
=(a^2)-(b^2)
However you can only use this formula when the two products are being subtracted
