All Algebra II Resources
Example Questions
Example Question #363 : College Algebra
Factor the following expression:
To factor, we are looking for two terms that multiply to give and add together to get .
Possible factors of :
Based on these options, it is clear our factors are and .
Our final answer will be:
Example Question #62 : Intermediate Single Variable Algebra
Factor the following expression:
To factor, we are looking for two terms that multiply to give and add together to get .
Possible factors of :
Based on these options, it is clear our factors are and .
Our final answer will be:
Example Question #14 : Factoring Polynomials
Factor the following expression:
To factor, we are looking for two terms that multiply to give and add together to get .
Possible factors of :
Based on these options, it is clear our factors are and .
Our final answer will be:
Example Question #15 : Factoring Polynomials
Factor the following expression:
To factor, we are looking for two terms that multiply to give and add together to get . There are numerous factors of , so we will only list a few.
Possible factors of :
Based on these options, it is clear our factors are and .
Our final answer will be:
Example Question #13 : Factoring Polynomials
Factor the following expression:
To factor, we are looking for two terms that multiply to give and add together to get . There are numerous factors of , so we will only list a few.
Possible factors of :
Based on these options, it is clear our factors are and .
Our final answer will be:
Example Question #14 : Factoring Polynomials
Factor the following expression:
To factor, we are looking for two terms that multiply to give and add together to get .
Possible factors of :
Based on these options, it is clear our factors are and .
Our final answer will be:
Example Question #11 : Factoring Polynomials
Simplify:
Factor the numerator:
Simplify the fraction:
Example Question #21 : Factoring Polynomials
Factor:
Factor:
Step 1: Factor out
Step 2: Factor the polynomial
Example Question #22 : Factoring Polynomials
Factor:
Factor:
When factoring a polynomial , the product of the coefficients must be , the sum of the factors must be , and the product of the factors must be .
For the above equation, , , and .
Set up the factor equation:
Becauase is negative, one of the factors must be negative as well. Because is positive, this means the larger factor is positive as well.
Two numbers that meet these requirements are and . Their product is , and their sum is .
Example Question #22 : Factoring Polynomials
Expand:
Follow the FOIL rule when multiplying - first, outside, inside, last.
First:
Oustide:
Inside:
Last:
Add all of these together:
Combine like terms:
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