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Question 996868: Hi, I had this as a bonus question on my Pre-Cal 12 Chapter 3 test. It's been bugging me for a while and I hope someone could help me solve this question. Thanks :)
- a function, all terms are odd
- when divided by (x+3), remainder is 12
- when divided by (x^2-9), equals to h(x)
find h(4):
I'm writing this question from memory so if something doesn't make sense, just let me know.
I just want to know how this problem should be solved. I don't really need the answer but if it is given,
that's great.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! f(x) / (x+3) means f(x) = (x+3)*q(x) + 12
f(x) / (x^2-9) means f(x) = (1/(x-3)) * ( (x+3)*q(x) + 12 )
set both expressions = to each other
(x+3)*q(x) + 12 = (1/(x-3)) * ( (x+3)*q(x) + 12 )
h(x) = 1 / (x-3)
h(4) = 1
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