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1212Which of the following answer choices accurately matches each function with its corresponding solution or factored form?

1)

2)

3)

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Question:

1)

2)

3)

A
12121) and

2) x = 5 and and

3)

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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