All GED Math Resources
Example Questions
Example Question #21 : Algebra
Simplify completely:
Example Question #22 : Algebra
Subtract from
.
Example Question #23 : Algebra
Add to
.
Example Question #24 : Algebra
Factor completely:
First, factor out the greatest common factor of the terms, which is :
The quadratic trinomial can be factored as where
and
; by trial and error we find that the numbers chosen are
, so
Example Question #25 : Algebra
Simplify:
Apply the power of a quotient rule:
Example Question #26 : Algebra
Factor completely:
is a common factor of both terms, so factor it out:
cannot be factored, so this is the complete factorization.
Example Question #27 : Algebra
Factor completely:
First, we find two integers whose sum is 19 and whose product is . Through trial and error we find these integers are 3 and 16. We use these numbers to split the middle term, then we factor using the grouping method:
Example Question #28 : Algebra
Factor completely:
Factor by grouping as follows:
Example Question #29 : Algebra
Factor completely:
Factor by grouping as follows:
The first factor is the difference of squares, so further factoring can be done:
Example Question #30 : Algebra
Factor completely:
The polynomial fits the perfect square pattern:
This can be factored using the pattern
with :
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