SAT II Math II : Expanding Expressions and FOIL
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Example Questions
Example Question #7 : How To Multiply A Monomial By A Polynomial
Expand the expression by multiplying the terms.
When multiplying, the order in which you multiply does not matter. Let's start with the first two monomials.
Use FOIL to expand.
Now we need to multiply the third monomial.
Similar to FOIL, we need to multiply each combination of terms.
Combine like terms.
Example Question #1 : How To Multiply Trinomials
Multiply the expressions:
You can look at this as the sum of two expressions multiplied by the difference of the same two expressions. Use the pattern
where 
To find 
where 
Substituting above, the final answer is 
Example Question #1 : Expanding Expressions And Foil
Which of the following values of 
a prime polynomial?
A polynomial of the form 
Therefore, for 
The factor pairs of 96, along with their sums, are:
1 and 96 - sum 97
2 and 48 - sum 50
3 and 32 - sum 35
4 and 24 - sum 28
6 and 16 - sum 22
8 and 12 - sum 20
Of the given choices, only 30 does not appear among these sums; it is the correct choice.
Example Question #1 : Expanding Expressions And Foil
How many of the following are prime factors of the polynomial 
(A)
(B)
(C)
(D)
Three
One
Two
Four
None
Two
making this polynomial the difference of two cubes.
As such, 
so
(A) and (C) are both factors, but not (B) or (D), so the correct response is two.
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