Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 243031: What is 8/5x+4 minus 1/2x-3?
Click here to see answer by nyc_function(2733)

Question 243028: What is 8/x^2-4 minus 3/x-2?
Click here to see answer by nyc_function(2733)

Question 242436: Given the values of x and y, find an equation of variation in which y varies directly as x y = 8, when x = 5
Click here to see answer by ankor@dixie-net.com(15661)

Question 243082: simplify
6+1/3 (6+ the fraction 1/3 over 4+ the fraction 2/9)
------ = ?
4+2/9
Click here to see answer by stanbon(57399)

Question 243086: Need some help with this problem:
6/z = 9/z - 1/11

thanks
Click here to see answer by stanbon(57399)

Question 243086: Need some help with this problem:
6/z = 9/z - 1/11

thanks
Click here to see answer by freekie11(2)

Question 243095: I have a few more problems that are giving me trouble, I understand how to start but have no clue how to follow through with the problem. Please help me understand...thanks in advance!!
Divide and Simplify: 5x-5/121 divided by x-1/55x
Simplify by removing factors of 1: m^2 - 36/ (m+6)^2
Mulitply and Simplify: 9x^2/4x^2-32x+64 times 4x-16/3x
Thanks again for the help.
Click here to see answer by stanbon(57399)

Question 243144: Hi,
Can someone help me with these problems, as you can see I did try to answer two out of three but since I have been out of school for so long, I not sure of my answers.

1 solve by factoring and using the principle of zero products
m^2 - 9/16 = 0 I stuck on this one

2. . the product of the page numbers of two facing pages in a book is 506, find the page numbers
My Answer: Not sure it right
Take square root of 506.
It comes out to be 22.4944...
Take the two closest whole numbers; 22 and 23.
22x23= 506.

3. Factoring prime numbers 35+2x-x^2
This is what I got not sure it right.
When you multiply out the brackets you will get x^2+2x-35=0):
(x + 7) (x - 5) = 0
Either:
x + 7 = 0 ..or x - 5 = 0
Therefore:
x = -7 ..or x = 5
Thank you for your help I heard you guys are great.
Tam
Click here to see answer by Theo(3464)

Question 243096: Please help.....
Simplify by removing factors of 1: m^2-36/(m+6)^2

mulitply and simplify
9x^2/4x^2-32x +64 times 4x-16/3x
Click here to see answer by checkley77(12569)

Question 243034: What is d^2+3d/ d^2-2d minus -4/d?
Click here to see answer by checkley77(12569)

Question 243034: What is d^2+3d/ d^2-2d minus -4/d?
Click here to see answer by oberobic(2304)

Question 243193: I know that this seems extremly simple by simply dividing but for some reason I am having great difficulty when trying to divide these polynomials. I truly would appreciate your help as I have been working on two problems for the past 3 hours and none of the answers I have seem correct in the least when compared to the practice questions that are similar which I can not get right either. Thanks again!!
(5x(to the seventh power) - 3x (to the fourth power) + 2x(squared)- 10x +2) / (x (squared) -x + 1)
Click here to see answer by oberobic(2304)

Question 243189: I have done all the margin exercises and practice and I am still having a very difficult time figuring this one out. I believe y will go into y to the 4th power 4 times but it does not look right. I would appreciate any guidance. Thank you so much!!
(y to the 4th power + a squared) / (y+a)
Click here to see answer by Alan3354(30993)

Question 243233: solve t^2=9
Click here to see answer by oberobic(2304)

Question 243235: divide 57r^11/-3r^7
Click here to see answer by Alan3354(30993)

Question 243242: multiply (x^8-x^5)(x^8+x^5)
Click here to see answer by rapaljer(4667)

Question 243240: divide and simplfy 6^16/6^3=
Click here to see answer by rapaljer(4667)

Question 243231: multiply and simplify (7b)^3 *(7b)^6
Click here to see answer by rapaljer(4667)

Question 243211: Hi,
I am working on a project regarding applications of polynomial functions for my college algebra class. I am stuck on one particular questions and the tutor I spoke to on campus approached this question in a manner that doesn't make sense to me.
I will start by pasting the questions below:
The USPS requires that any package submitted for shipment satisfy the condition that the girth plus the length must be less than or equal to 106 inches. The length is always the longest dimension, and the girth is the perimeter of a cross section perpendicular to the length. If the cross section is rectangular, of width w and height h, then the girth is
2w+2h.
a) Suppose the cross section perpendicular to the length is indeed a square.
Construct a polynomial function for the volume of the package, in terms of the
length of the sides of the square cross section.
b. By graphing the function or by using a table, estimate the dimensions of the
package of the largest volume that can be shipped.
If I am understanding this question correctly the actual dimensions of this box would be equal since it is a square at the point perpendicular to the length which would be twice as long as any one individual side. Since the overall dimensions can't exceed 106 inches, here is my approach. The girth is a square which to me is 4(w) + 2 (w)=length, so 106/6 =17.66666667 inches.
On part b. they ask for the maximum volume possible. Since volume = L x W x H
I came up with 17.66666667 x 17.66666667 x 2(17.66666667) which gave me a maximum voolume of 11027.92593 cubic inches.
My tutor on campus approached it as follows:
girth + length can't exceed 106 inches
girth = 2W +2L
girth= 2W+ 2L= 4W
4W + H can't exceed 106 inches
H can't exceed 106-4W
V=106 W-4W^3
Maximum 210 cubic inches when w=3
This doesn't make sense to me and it has to be addressed in a polynomial form.
Thanks for your help since I an really stumped on this one.
BK
Click here to see answer by scott8148(6628)

Question 243306: x^2+3x+2
+ x^2-2x-1

Click here to see answer by checkley77(12569)

Question 243271: I'm stuck on the Factoring section of the current unit I'm in for College Algebra. I don't understand it & can't even begin to figure this out.
I have a few problems that I need help with. Thank you!
x^10y^3 – 4x^9y^2 – 21x^8y
x^3 – 2x^2 + 7x – 14
x^2 + 9x + 8
8x^2 – 200y^2
7x^2 + 58x + 16
7x^2 + 49x + 42
The assignment says to "Factor Completely"... I don't understand that.

Click here to see answer by checkley77(12569)

Question 243269: factor completely 5b^2-22b+8
Click here to see answer by checkley77(12569)

Question 243323: I need help solving trinomials, sorry if I chose the wrong category
here is the problem: -y^2+10y-24.
Click here to see answer by jim_thompson5910(28598)

Question 243325: I need help factoring this binomial completely.
Here is the problem: x^2y^2-256.
Click here to see answer by nerdybill(6963)

Question 243334: I need help factoring this trinomial.
Problem:c^2+3cd-28d^2.
I know that it will be something like this
(c- )(c+ )
I believe it will be prime because I can't find any factors of -28 that add up to the middle term which is 3. I could be missing a step.
Click here to see answer by checkley77(12569)

Question 243349: This problem asks me to factor by grouping.
Problem: 5xy+25x-2y-10
What does it mean by grouping?
Click here to see answer by nerdybill(6963)

Question 243343: I need help factoring this polynomial involving variables and exponents.
Problem:d^2um+du^2m+dum
This problem is confusing to me, if you could please show your steps process I would be very thankful
Click here to see answer by checkley77(12569)

Question 243335: I need help factoring this trinomial.
Problem: j^4-16
Please provide me with the steps.
Here's the answer I came out with so far
(j^2-4)(j^2+4)
Is it right?
I think the signs might be wrong.
Click here to see answer by checkley77(12569)

Question 243283: x^2-25 over 5x+20 divided by x+4 over x-5 simplify?
Click here to see answer by edjones(7569)

Question 243364: Please help.
Problem: x^3-8
Could you please provide a step process.
I think that it will look something like this:
(x^2+2)(x-4)
Click here to see answer by edjones(7569)

Question 243364: Please help.
Problem: x^3-8
Could you please provide a step process.
I think that it will look something like this:
(x^2+2)(x-4)
Click here to see answer by checkley77(12569)

Question 243457: Please help, we don't know whether to solve the problem in the parenthesis first or distribute first, or double the expression???
3r(-4x^)^ ?
Click here to see answer by Alan3354(30993)

Question 243552: I need some help solving for p
Click here to see answer by jim_thompson5910(28598)

Question 243513: add (7x^2-xy+y^2)+(-x^2-7xy+5y^2)
Click here to see answer by jim_thompson5910(28598)

Question 243599: I'm having trouble with factoring. 10m^2-17m+3
Click here to see answer by jim_thompson5910(28598)

Question 243632: I need helping sloving this problem. Write a third degree polynomial equation withreal coefficients and the given roots.2,2+i. Also what does i equal.
Click here to see answer by Alan3354(30993)

Question 243660: Here's the problem I need help with.
Factor the trinomial
-4x^2y-8x^3+60xy^2
Click here to see answer by Edwin McCravy(8912)

Question 243692: Here's another problem I don't understand.
Factor this trinomial
12y2 + 7y - 12
Click here to see answer by scott8148(6628)

Question 243440: I have to find all the real number solutions of:
x^3-216=0
but I am not sure how to go about it. I know there are three solutions and one or more may be imaginary.
Click here to see answer by ankor@dixie-net.com(15661)

Question 243710: Here is the problem I don't understand.
Factor this trinomial
-45p2 - 12p + 12p3
Click here to see answer by jim_thompson5910(28598)

Question 243726: I need help factoring this polynomial.
πab - πac
Click here to see answer by jim_thompson5910(28598)

Question 243717: Here's another problem that has been giving me a headache
Factor the trinomial completely
x2 + 24x + 144
Click here to see answer by Alan3354(30993)

Question 243717: Here's another problem that has been giving me a headache
Factor the trinomial completely
x2 + 24x + 144
Click here to see answer by jim_thompson5910(28598)

Question 243659: 21xy+14x^3y^2
Click here to see answer by checkley77(12569)

Question 243807: The Epson Stylus 850 can print Helen's class project in 18 minutes. The Epson Stylus 500 can print the project in 36 minutes. If the two printers work together, how long would they take to print out the project?
Click here to see answer by devinbrowning93(1)

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