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

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Algebra: Polynomials, rational expressions and equations

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Question 35666: Identify the binomial expansion of (x-y)^3.
Click here to see answer by rapaljer(3620)

Question 35702: Factor: 25x^2-1
Click here to see answer by rapaljer(3620)

Question 35703: Solve: x^3-125=0
Click here to see answer by rapaljer(3620)

Question 35705: Can some one please help explain these in detail? I am so lost. Thank you
Factor completely:
9x^2 -16y^2
3x^2-2x-8
3x^2 + 12x +12
Thanks again for all your help!

Thank you
Click here to see answer by rapaljer(3620)

Question 35704: Can some one please help explain these? I am so lost. Thank you

Factor out the GCF:4x^2+36y^2
Factor by grouping:3x^2-12x+5x-20
Thank you
Click here to see answer by stanbon(26259)

Question 35708: I have a homework problem that I can't figure out. It is ax+by+c=0 solve for x.
Mandy Rohrer
Click here to see answer by Nate(3495)

Question 35722: Please help me with this and show me the checking of the result using the multiplication?
Factor completely; 36x ^ 4 – 36
Thank you for all your help tonight!
Click here to see answer by Nate(3495)

Question 35747: If any one can help me I will appreciate it very much. This is mu last chance at understanding befrore my final tomorrwo. pLESE HELP ME SOLVE x^2 -5x +6 =6, AND 3a^2 + 14a + 8 =0 Ipromise this will be the last time tonight. Thank you for any help.
Click here to see answer by venugopalramana(3286)

Question 35754: (x+4)/10=6/(x-3)
Click here to see answer by kev82(145)

Question 35676: Describe your strategy for factoring a polynomial. Give an example showing all of your steps please?
Thank you
Click here to see answer by elima(1433)

Question 35767: I need help factoring the following problem
s^2 - 10s + 24
thanks
Click here to see answer by checkley71(8405)

Question 35768: I need help factoring the following problem
3x^2 + 2x - 16
thanks
Click here to see answer by checkley71(8405)

Question 35770: i know it is very simple but to solve
x^2 + 49=?
Click here to see answer by checkley71(8405)

Question 35769: Can someone help me simplify this problem
(2x)^2 * (3x^4)
thanks

Click here to see answer by checkley71(8405)

Question 35766: I need help factoring the following problem
32a^4b - 50b^3
thanks
Click here to see answer by checkley71(8405)

Question 35763: please help! I am so lost and my algebra final is due in 9 hours!!!
x^4+2x^3-4x-4=0
I am supposed to find the positive roots to an accuracy of .1 using bisection. There is only one example in the book and that is for a 2nd degree poly. If anyone can help me with in the next few hours that would be great. Thank you!!
Click here to see answer by venugopalramana(3286)

Question 35791: I can't figure out how to solve this problem, (5-2)/2x-5 = 3/2x-5
Click here to see answer by Nate(3495)

Question 35866: solve x^2-16x+32=0 by completing the square
Click here to see answer by rapaljer(3620)

Question 35867: state the discriminant for 2y^2 +8y =-3

Click here to see answer by AnlytcPhil(958)

Question 35869: solve x^2 - 7x +12 = 0 by factoring
x = -3, -7
-2 = -2, -4
Click here to see answer by rapaljer(3620)

Question 35875:
Click here to see answer by ilana(236)

Question 35895: This problem is from a worksheet. Find all zeros of each function. If a zero has a multiplicity greater than on, please note the multiplicity.
f(x)= x^3+12^2-16
I have tried to solve using synthetic division, but cannot find a number that makes it zero, I have tried +-{1,2,4,8,16} and I put a zero in place where there is a missing degree...but still cannot find answer. My p/q is probably wrong, but I am pulling my hair out here trying to figure it out. Thanks for the help.
Click here to see answer by venugopalramana(3286)

Question 35897: This one is also from my worksheet... I appreciate any help. : )
Write a polynomial of least degree which has the indicated zeros.
-1,6i,-6i
Click here to see answer by Earlsdon(4898)

Question 35830: 15cd-16+12c-20d =
Click here to see answer by rapaljer(3620)

Question 35959: I have a very frustrated child trying to figure out simplfying and expanding. Description or easy way to do this is not so easy to understand. Can you give an explanation that I can try to help.
Click here to see answer by 77536(1)

Question 35956: (a2+11a+30)/(a2-4a-45)
[(a+5)(a+6)]/[(a-9)(a+5)]
=(a+6)/(a-9)
Click here to see answer by stanbon(26259)

Question 35942: Translate the following into a quadratic equation, and solve it:
The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
I'm a little confused. Does this translate to 3x+ x+75= 0 or 3*x+ x= -75? Or am I totaly off the mark? Thank you!
Click here to see answer by checkley71(8405)

Question 35973: perform the indicated operations (12x^2-xy-y^2)+(x^2+6xy+12y^2)
Click here to see answer by checkley71(8405)

Question 35975: Please help me solve this in detail so i may understand it? Thank you.
1.Factor completely:
x3 – 26x2 + 48x
2. Factor completely:
x2 – 6wy + 3xy – 2wx
3. Factor completely:
x2 – 5x – 14

Click here to see answer by checkley71(8405)

Question 35981: factor by grouping x^3+6x^2+x+6
Click here to see answer by elima(1433)

Question 35969: factor out the GCF from the polynomial -14y^3+8y
Click here to see answer by elima(1433)

Question 35999: factor the polynomial completely x^2+x-42
Click here to see answer by checkley71(8405)

Question 36017: this is a fraction problem(it uses fractions) 5m divided by 25m^2
m+1 divided by m^2+2m+1
thank you very much if you can solve this
Click here to see answer by checkley71(8405)

Question 36016: find the following product (3x+5)^3
Click here to see answer by checkley71(8405)

Question 35997: factor by grouping x^3+6x^2+x+6
Click here to see answer by checkley71(8405)

Question 35976: Can you explain how to solve this in detail? Thank you.
Factor completely:
4x2 – 36y2
Factor completely:
3x2 – 2x – 8
Factor completely:
24x2 + 10x – 4
Click here to see answer by elima(1433)

Question 36015: find the GCF 64a^10b^3,88a^5b^10
Click here to see answer by venugopalramana(3286)

Question 36011: find the GCF 64a^10b^3,88a^5b^10
Click here to see answer by venugopalramana(3286)

Question 36060This question is from textbook Beginning Algebra -A Text/Workbook
: Please help me solve this equation.
x^2+5x+1 times x-1
(divided by)
7x-7 times x^2+5x+1

The instructions said, :multiply or divide as indicated. Be sure to reduce all answers to lowest terms. (the numerator and denominator of the answer should not have any factors in common).This question is from textbook Beginning Algebra -A Text/Workbook

Click here to see answer by Prithwis(166)

Question 36042: I have a problem with this expression. How would I divide
{{5x^3 + 9x^2 + 18x - 4}} by {{5x - 1}}. Also, how could I do similar problems? Thank you
Click here to see answer by Prithwis(166)

Question 36102: 6x2+31x+5
Click here to see answer by vidhyak(78)

Question 36097This question is from textbook beginning and intermediate algrebra

: f(x)=x^2+4x-2;f(c)=3This question is from textbook beginning and intermediate algrebra

Click here to see answer by QueenVoda(11)

Question 36098: explain why 3x2y and 5x2y are similar terms
Click here to see answer by elima(1433)

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