Rationalize the denominator and simplify.
1.
Solution:
2.
Solution:
3.
Solution:
Write in simplified radical form by rationalizing the denominator.
4.
Solution:
5.
Solution:
6.
Solution:
Factor a multivariate polynomial by grouping
7.
Solution:
8.
Solution:
9.
Solution:
Factoring a quadratic with leading coefficient 1
10.
Solution:
Factoring sum of cubes
11.
Solution:
Note: Use Formula for sum of cubes found on page 28
12.
Solution:
Note: Use Formula for difference of cubes found on page 28
Factoring Difference of Squares
13.
Solution:
14.
Solution:
15.
Solution:
Factoring a product of a quadratic trinomial and a monomial
16.
Solution:
Factoring a quadratic with leading coefficient greater than 1
17.
Solution:
NOTE: When you finished factoring, always
multiply your answer back out to see if what you
have gets you back to what you started with!