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Question:
1212Which of the following answer choices accurately matches each function with its corresponding solution or factored form?
1) 
2) 
3) 
A
12121) 
and 
2) x = 5 and
and 
3)
and 2) x = 5 and
and 3)
explanation
1212Use any appropriate factoring method to factor and solve the equations given.
Rewrite the first equation into the general quadratic form:
. Use the quadratic formula to solve for x:
, with a = 3, b = -3, c = 5.
, and
, so
and 
.
Rewrite the second equation as a difference of cubes:
and apply the general factor form of difference of cubes 
to find:
, set both expressions equal to 0:
x - 5 = 0 so x = 5 and 
, which requires the quadratic formula:
which becomes
, which becomes
and 
.
Begin the third function by factoring the GCF, 
:
. The expression in parentheses should be recognized as a difference of squares, which can be factored using the general form of 
. So:
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