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#
Question:

Which answer choices accurately match each function with its corresponding solution or factored form?
1) $3850_w100_h16.png$

2) $2517_w114_h18.png$

3) $6189_w233_h20.png$

A
1) $6343_w112_h41.png$ and $5713_w112_h41.png$

2) x = 5 and $5536_w120_h39.png$ and $3906_w119_h39.png$

3) $2782_w322_h20.png$

2) x = 5 and $5536_w120_h39.png$ and $3906_w119_h39.png$

3) $2782_w322_h20.png$

Explaination

Use any appropriate factoring method to factor and solve the equations given.
Rewrite the first equation into the general quadratic form:
$7858_w132_h18.png$. Use the quadratic formula to solve for *x*:
$7744_w160_h41.png$, with a = 3, b = -3, c = 5.
$6048_w250_h45.png$, and
$1709_w116_h40.png$, so
$3404_w112_h41.png$ and $2724_w112_h41.png$.
Rewrite the second equation as a difference of cubes:
$4653_w130_h20.png$ and apply the general factor form of difference of cubes $9781_w166_h20.png$ to find:
$8102_w214_h20.png$, set both expressions equal to 0:
x - 5 = 0 so x = 5 and $3618_w132_h18.png$, which requires the quadratic formula:
$4834_w203_h45.png$ which becomes
$4112_w130_h40.png$, which becomes
$7171_w135_h41.png$ and $6821_w135_h41.png$.
Begin the third function by factoring the GCF, $9070_w16_h16.png$:
$1836_w248_h20.png$. The expression in parentheses should be recognized as a difference of squares, which can be factored using the general form of $1243_w204_h20.png$. So:
$4205_w322_h20.png$

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