Question 99741: Factor completely using integer coefficients:
e) x^4+8x^3-2x^2-16x
f) 2x^6-20x^4-16x^3+160x
j) x^4-x^3-x+1
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Factor completely using integer coefficients:
e)  First, factor an x.
 Now factor the parentheses. I know that my factors here will be two binomials of the form:
 where  and  and  , so m = -2 and n = 8. So the parentheses, when factored, look like:
 , then the final answer is:
f)  First, factor 2x.
 Now factor the parentheses. I know my factors here will be two binomials of the form: where:   and  so  and  , so the parentheses, when factored, look like:
 , so far we have:
 but notice that  is the difference of two cubes and this can be factored.
 The difference of two cubes is factored thus:
 so, in this case:
 putting it all together, we have:
j)  Factor as:
 But again, we have the difference of two cubes: , so...
 or:
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