Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!

Algebra ->  Algebra -> Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!     (Log On)
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!


Question 149132: I need help with factoring the following expressions:
Determine the greatest common factor, 2x + 12x2 - 2x3 and
27x4 + 21x2 - 9x.: I need help with factoring the following expressions:
Determine the greatest common factor, 2x + 12x2 - 2x3 and
27x4 + 21x2 - 9x.
Answer by edjones(2401) About Me  (Show Source):
You can put this solution on YOUR website!
2x + 12x2 - 2x3
2x(1+6x-x^2)
.
27x4 + 21x2 - 9x
3x(9x^3+7x-3)
.
Ed
Question 149132: I need help with factoring the following expressions:
Determine the greatest common factor, 2x + 12x2 - 2x3 and
27x4 + 21x2 - 9x.: I need help with factoring the following expressions:
Determine the greatest common factor, 2x + 12x2 - 2x3 and
27x4 + 21x2 - 9x.
Answer by Earlsdon(3748) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the GCF of:
1) 2x+12x^2-2x^3
First, notice that every term There are three terms) has an x in it. The lowest power of these is x = x^1, so this can be factored from the trinomial.
2*x+12x*x-2x^2*x Factor the x.
x(2+12x-2x^2) Further notice that in each term, every coefficient is a multiple of 2, so you can factor 2 from the trinomial.
x(2*1+2*6x-2*x^2) Factor the 2.
2x(1+6x-x^2)
2) 27x^4+21x^2-9x Again, every term has an x to some power, and the lowest power is 1 x = x^1. Also, every coefficient is a multiple of 3, so this can be factored.
3x(9x^3+7x-3)