HELP ME OUT PLEASE SOLVE IT..............

Question

PROBLEM OF FACTOR
Factor the GCF out of this given expression:Please explain the steps on you got it so as i can practice with it for future similar problems

(1) 3x(7x-2)+(7x-2)


Factor by grouping
(2) x^3+4x^2+11x+44


(3) x^2+3x-9x-27

(4) 5x^2-25x-12x+60

(5) 4x^2-48x+x-12

Answer 1

1)  3x(7x-2) + (7x-2)

 

You can factor a (7x-2) out:

(7x-2) (3x + 1)

 

 

2) x^3 + 4x^2 + 11x + 44

 

 

(x^3 + 4x^2) + (11x + 44)

 

Factor out x^2 from the first:

 

x^2(x + 4) + (11x + 44)

 

Factor out 11 from the last part:

 

x^2(x+4) + 11(x+4)

 

Now take out the (x+4):

 

(x+4)(x^2 + 11)

 

 

3) (x^2 +3x) (- 9x - 27)

 

Factor out an x from the first two and -9 from the last two:

x(x+3) - 9(x+3)

 

Take out the x+3:

 

(x+3)(x-9)

 

 

4)

5x^2 - 25x - 12x + 60

 

5x(x-5) - 12(x-5)

 

(x-5)(5x-12)

 

 

5)

4x^2 - 48x +x -12

 

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

 

(x-12)(4x+1)