Search 74,268 tutors
FIND TUTORS
Ask a question
0 0

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

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
Tutors, please sign in to answer this question.

1 Answer

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)

Woodbridge Math tutors