Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)
Question 68183: Use synthetic division for the given polynomial
f(x) = 2x3 -5x2- 4x + 3, find all the solutions if the function is completed.
a) f(x) =0
b) f(x+2)=0
d) f(2x) = 0
Please show the work. I have the answer, I just need to confirm I did all of the steps correct.
Click here to see answer by venugopalramana(3286) |
Question 68185: Last week's profits from a dry cleaners was $2000. Suppose the $2000 is invested at interest rate k, compounded continuously, and grows to $2983.65 in 5 years.
What is the interest rate?
Find the exponential growth function.
What will the balance be after 10 years?
When will the $2,000 double?
Click here to see answer by stanbon(75887) |
Question 68396: Hi. Thanks in advance. I can't get the solution to this. I have a work/rate word problem. Bill can do a job 20 minutes faster than Joe. If it takes both of them to do the whole job in 60 minutes, how long does it take Joe alone?
First, Joe's rate is 1/x and Bill's rate is 1/x-20.
What I came up with was this: 1 job = 1/x(60) + 1/x-20(60), which is really 1 job = 60/x + 60/x-20.
When I multiply both sides by the LCD, I get x(x-20) = 60x -120 + 60x.
Then I get x^2 + 20x = 120x - 120. After that, I know I goofed, cause I get x^2 = 140x -120, and the only way to solve that is to take the square root. I'm pretty sure the answer doesn't involve a square root.
Where do I go wrong?
Click here to see answer by stanbon(75887) |
Question 68479: We are reviewing division of polynomials in trigonometry, and for homework we have to use both long and synthetic division. One of the long division problems is (50a^2-98b^2)/(10a+14b).
I know you have to include placeholders for missing degrees, but I'm not sure how many placeholders I need because the teacher did not show us how to do long division with more than one variable.
I think it would be, showing what the placeholder is for, (50a^2+0a+0ab+98b^2+0b)/(10a+14b), but I'm not entirely sure. Is this correct and if not, how do I figure it out?
Click here to see answer by stanbon(75887) |
Question 68547: I forgot how to do these. Can you please help. I believe you start with finding the common denomitor but I get lost after that.
xyz^0 - 7x^2y^2 + 2x^3x^-2yz^-2 + 5xy^-1y^0
----- ------- ------------- ---------
z xyz z^-1x^0 zy^-2
is the common denominator x^2y^2z
thank you
Click here to see answer by stanbon(75887) |
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