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Question 134141: I am struggling with this synthetic division problem, the answer I am coming up with is not what the book answer is, help:
5x²-31x+30
Answer by nycsharkman(136)   (Show Source):
You can put this solution on YOUR website! You have an incomplete question here.
What are you dividing 5x²-31x+30 by?
In other words, where is the divisor?
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I received your divisor as x - 1.
Is this correct?
Well, divide in parts.
5x²-31x+30 divided by x - 1.
5x² divided by x = 5x
5x times x = 5x^2. Subtract 5x^2 from itself and then multiply 5x time -1.
Subtract -31x from 5x and we get = -6x
We now have:
-6x + 30 divided by x - 1
Repeat the same steps.
-6x divided by x = -6
-6 times x = -6x
-6x and +6x cancel out.
Then -6 times -1 = 6.
Subtract -6 from 30 and we get 24 as the remainder.
Final answer: Quotient = 5x - 6 and our remainder is 24. Of course, this is the answer if the divisor is x - 1.
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