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"Factor the following. (Write the expression as the product of 2 linear factors"

 

1.

x^2 + 4x

 

2. 

7x^2 - 21x

 

3.

12x^2 + 60x

 

4.

8x^2 + 20x

 

And if you could explain how you did one or 2 of them that would be awesome, my teacher sucks...

Guest May 8, 2018
 #1
avatar+87301 
+3

1. x^2  + 4x

 

Just take out the greatest common factor  (GCF)....x

 

To  find the  other inear factor.... just divide each term by  this  GCF...so we have

 

x^2      +    4x

___          ____      =

 x               x

 

 

x    +   4

 

So.....  the factorization  is      x  ( x + 4)

 

 

2. Similarly

 

7x^2  - 21x       the GCF  =   7x

 

So....dividing each term by the GCF

 

7x^2         - 21x

____          ____  =

7x                7x

 

x      -  3

 

So...the factorization is    7x  (x - 3)

 

Do you want to try 3 and 4 on your own???...we'll check your answers.....

 

 

cool cool cool

CPhill  May 8, 2018
edited by CPhill  May 8, 2018
 #2
avatar
+2

6x(2x + 10)?

 

and 

 

4x(2x + 5)?

Guest May 8, 2018
 #3
avatar+87301 
+3

Excellent....!!!

 

P.S.  - you can always check  your work  by multiplying the factorization back out.....if you get what you started with, you have done it correctly  !!!!

 

 

cool cool cool

CPhill  May 8, 2018

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