All High School Math Resources
Example Questions
Example Question #261 : Algebra Ii
Simplify the following polynomial:
Begin by simplifying the integers:
Subtract the exponent in the denominator from the exponent in the numerator:
Example Question #262 : Algebra Ii
Simplify the following polynomial:
Begin by multiplying the terms:
Convert into fraction form:
Example Question #263 : Algebra Ii
Simplify the following polynomial:
Use the FOIL method to multiply the terms: F (first) O (outer) I (inner) L (last)
Example Question #11 : Simplifying Polynomials
Simplify the following polynomial:
Use the FOIL method to multiply the terms: F (first) O (outer) I (inner) L (last)
Combine like terms:
Example Question #261 : Algebra Ii
If and , what is ?
is a composite function solved by substituting into :
Example Question #1 : Factoring Polynomials
Factor
Cannot be Factored
Use the difference of perfect cubes equation:
In ,
and
Example Question #2 : Factoring Polynomials
Factor the polynomial completely and solve for .
To factor and solve for in the equation
Factor out of the equation
Use the "difference of squares" technique to factor the parenthetical term, which provides the completely factored equation:
Any value that causes any one of the three terms , , and to be will be a solution to the equation, therefore
Example Question #1 : Factoring Polynomials
Factor the following expression:
You can see that each term in the equation has an "x", therefore by factoring "x" from each term you can get that the equation equals .
Example Question #3 : Factoring Polynomials
Factor this expression:
First consider all the factors of 12:
1 and 12
2 and 6
3 and 4
Then consider which of these pairs adds up to 7. This pair is 3 and 4.
Therefore the answer is .
Example Question #41 : Intermediate Single Variable Algebra
Find the zeros.
This is a difference of perfect cubes so it factors to . Only the first expression will yield an answer when set equal to 0, which is 1. The second expression will never cross the -axis. Therefore, your answer is only 1.