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What is the missing term in the factorization?

 Jan 17, 2018
 #1
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Let  m   be the missing term  and we have that

 

100x^2  - 36 =  4(5x + m) (5x - 3)       divide both sides by 4

 

25x^2  -  9   =   (5x + m ) (5x - 3)        expand the right side

 

25x^2  -  9  =   25x^2  + 5mx - 15x  -  3m   subtract  25x^2  from both sides

 

-9  =  5mx   - 15x   -  3m

 

-9  =  (5m - 15)x   -  3m

 

Since there is no x term  on the left side, we can equate this

 

0x  =  (5m - 15)x

 

So

 

5m - 15  = 0       add 15 to both sides

 

5m  = 15    divide both sides by  5

 

m  = 3

 

 

cool cool cool

 Jan 17, 2018

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