Question 54779: Maybe I missed this part of the lecture, but I just can't figure these out. Here are two examples. Thank you very much.
(A) Factor 18x^7 – 12x^4 in the form of ax^b(cx^d + e), where a, b, c, d, and e are integers and a > 0. Put integers a, b, c, d and e in the 1st, 2nd, 3rd, 4th and 5th answer boxes, respectively.
(B) Factor 15x^8 + 10x^5 – 35x^2 in the form of ax^b(cx^d + ex^f + g), where a, b, c, d, e, f and g are integers and a, b > 0, d > f > 0. Put a, b, c, d, e, f, and g in the 1st, 2nd, 3rd, 4th, 5th, 6th and 7th answer boxes, respectively.
Answer by Earlsdon(6103)   (Show Source):
You can put this solution on YOUR website!Factor:
A)  Look for common multiples in each term: Looking at 18 and 12, the GCM is 6 because: 3(6) = 18 and 2(6) = 12 so you can factor 6 from the expression.
Now look at the variables (x's),  and  The GCM would be because:  and  (  ) so you can factor from the expression. Putting it all together, you get:
Do you see the idea here?
B)  For the integers, the GCM would be 5 because: 15 = 5(3), 10 = 5(2), and 35 = 5(7)
For the x's the GCM would be  because:  ,  , and  ( ) Putting it all together, you get:
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