HELP ME OUT PLEASE SOLVE IT..............Factor by grouping

Question

Factor by grouping:

(1) 4x^2-48x+x-12

(2) 7x^3+49x+4x^2+28

(3) 3x^2+27x+21x+189

Answer 1

(1) First regroup: 4x^2+x-48x-12

 

Next factor out common terms: x(4x+1)-12(4x+1)

 

Solution: (x-12)(4x+1)

 

Solve 2 and 3 the same way

Answer 2

1. 4x² - 48x + x - 12

 

= 4x (x-12) + 1 (x-12)

 

= (4x+1)(x-12)

 

 

 

2. 7x(x²+7)+ 4 (x²+7)

  = (7x+4)(x²+7)

 

3. 3x(x+9) + 21(x+9)

  

   = 3 (x+7)(x+9)