lauren8754 said:
so i have some problems that i dont know how to do obviously lol can you guys help by showing the steps to get the answer....
the question says: Write each polynomial in factored form.
1. x3 - 36x ( By the way the 3 is exponent like x to the 3)
2. 10x3 -10x2 + 15x
3. X3 + 7x +10x
Please help
In any problem which asks you to "factor," always begin by looking for a factor that is common to all of the terms. If you find a common factor, remove it....then go from there.
1. x[sup:2o4lax3v]3[/sup:2o4lax3v] - 36x
Do you see that "x" is a common factor? Remove it:
x( x[sup:2o4lax3v]2[/sup:2o4lax3v] - 36)
Now, look at the expression inside the parentheses. You should recognize this as a difference of two squares...36 is 6[sup:2o4lax3v]2[/sup:2o4lax3v].
So, you've got
x(x[sup:2o4lax3v]2[/sup:2o4lax3v] - 6[sup:2o4lax3v]2[/sup:2o4lax3v])
Use the pattern for factoring a difference of two squares: a[sup:2o4lax3v]2[/sup:2o4lax3v] - b[sup:2o4lax3v]2[/sup:2o4lax3v] = (a + b)(a - b)
2. 10x[sup:2o4lax3v]3[/sup:2o4lax3v] - 10x[sup:2o4lax3v]2[/sup:2o4lax3v] + 15x
Start by removing the greatest common factor from all of the terms. Do you see that each term has a factor of 5x? Remove that common factor:
5x(2x[sup:2o4lax3v]2[/sup:2o4lax3v] - 2x + 3)
Now look at the expression inside the parentheses to see if it can be factored further...maybe it can be, or maybe it can't.
3. I wonder if there's a typing error in this one...you typed it this way:
x[sup:2o4lax3v]3[/sup:2o4lax3v] + 7x + 10x
Please recheck this one, and correct if necessary.
