SOLUTION: PLease help to simplify : -3i^4 + 5i^3 Divided by 6i^2 - 7i

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Question 75324This question is from textbook Alegbra 2 An Incremental Development
: PLease help to simplify :
-3i^4 + 5i^3
Divided by
6i^2 - 7i
This question is from textbook Alegbra 2 An Incremental Development

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
eliminate the i's from the denominator by multiplying the numerator and denominator by 6i%5E2%2B7i

FOILing the two pairs of binomials gives %28-18i%5E6%2B30i%5E5%2B21i%5E5-35i%5E4%29%2F%2836i%5E4%2B49i%5E2%29

simplifying gives %2851i%5E3%2B17%29%2F13