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errr I don't know how to do this. It goes b. 3x^2 - x - 4, factor. Can anyone please show how to do this? Thanks! :D

 Dec 2, 2014

Best Answer 

 #3
avatar+118723 
+5

3x^2 - x - 4,

Alan can probably do this in his head but I cannot

 

$$3x^2 -1 x - 4$$

I look for 2 numbers that multiply to 3*-4=-12

since they mult to a negative - one must be pos and the other neg.

they ALSO must add to -1    SO the bigger one is neg and they are only one apart.  

That is easy,  -4 and +3

Now make -1x=3x-4x

$$3x^2 -1 x - 4$$

$$3x^2+ 3x-4x - 4$$

NOW factor this in pairs

=3x(x+1) -4(x+1)

=(3x-4) (x+1)

 Dec 2, 2014
 #1
avatar
0

Is it 3x^2 - x - 4?

If so, there is not what you'd call a neat solution.

Maybe you mistyped it? Please check and confirm!

 Dec 2, 2014
 #2
avatar+33661 
+5

3x2 - x - 4 = (x + 1)(3x - 4)

.

 Dec 2, 2014
 #3
avatar+118723 
+5
Best Answer

3x^2 - x - 4,

Alan can probably do this in his head but I cannot

 

$$3x^2 -1 x - 4$$

I look for 2 numbers that multiply to 3*-4=-12

since they mult to a negative - one must be pos and the other neg.

they ALSO must add to -1    SO the bigger one is neg and they are only one apart.  

That is easy,  -4 and +3

Now make -1x=3x-4x

$$3x^2 -1 x - 4$$

$$3x^2+ 3x-4x - 4$$

NOW factor this in pairs

=3x(x+1) -4(x+1)

=(3x-4) (x+1)

Melody Dec 2, 2014

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