SOLUTION: Factor as completely as possible.
a) {{{x^3-4x}}}
b) {{{xy-x+8y-8}}}
c) {{{x^3+x^2-90x}}}
Hello! You dont have to do all three of these (unless you want too; go ahead and kno
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Factor as completely as possible.
a) {{{x^3-4x}}}
b) {{{xy-x+8y-8}}}
c) {{{x^3+x^2-90x}}}
Hello! You dont have to do all three of these (unless you want too; go ahead and kno
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Question 281596: Factor as completely as possible.
a)
b)
c)
Hello! You dont have to do all three of these (unless you want too; go ahead and knock yourself out ;) ) What I wanted to know was if someone could please explain to me how I would factor these as completely as possible?
Thank you Found 2 solutions by Mathematicians, JBarnum:Answer by Mathematicians(84) (Show Source):
You can put this solution on YOUR website! I'll knock myself out ;)
a)
b)
c)
a) We first want to look for any greatest common factors, notice there is an x in each term which is our greatest common factor!
Notice how an x comes out of both terms this is binomial factoring, we can do this because there is a minus sign in between and . also, both and can be square rooted perfectly.
So the final answer is:
b) This example is a super use of greatest common factoring, sometimes noted as gcd:
group the first two together and the last two:
then factor by greatest common factoring: we can see that there are two y-1, we can factor that out too: the easiest way to see this step is to take out the y-1 and whatever is left over is your second term. is your final answer
c)
Once again start off with greatest common factoring, there is an x is each of those:
Now we want to find two things that multiply to be negative 90 and add up to be positive 1. One number is going to have to be a negative because that is the only way to multiply two numbers to get -90. The answer for this one is -9 and +10 which reduces to our final factoring:
final answer
You can put this solution on YOUR website!
for this one when u look at it theres a x in both variables so the gcf is x whats left is a perfect square inside the brackets so you can factor further, i sugest getting familiar with what squars look like to make it easier for u to factor, otherwise u will need to use the quadratic formula.(Ex: 6's,7's,12's) this would be completly factored
use group factoring factor x and 8 out add them together, completely factored
same as first one GCF=x find 2 numbers multiply to get -90 and add to get 1. -9 and +10. if u cant figure how to do this then use quadratic formula. this is completely factored
