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Check for 1.2

 

Example 4.Factor out the GCF:  

Factored Form:  

 

Check 1: The tables of values for each expression are equivalent. Though we

certainly cannot check all possible values, the following table supports our

answer.

 

 

x

 

 

-4

0

0

-3

-21

-21

-2

-14.142

-14.142

-1

1.73205

1.73205

0

24

24

1

51.4296

51.4296

2

83.2827

83.2827

3

119.059

119.059

4

158.392

158.392

5

201

201

6

246.658

246.658

 

Check 2: If we let

 

 

on our graphing calculator, we obtain graphs like the following. The graphical representations look identical. Again, this is not a proof, but these graphs do support our answer.

 

Y1

Y2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Please note on the above graphs that the curve should come closer to the x-axis at . If we were to sketch the graph by hand, we would make an open circle around the -4 and then continue the graph from there.

 

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