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

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Question 1634: I am a father who has not used algebra since 1972!! My daughter ia having an issue with, How to solve an equation using fractions. ie: "1/3x+2=6" I am stumped. can you break it down for us.
Thanx.
Glenn
Click here to see answer by ntrl86(1)

Question 363574: Where can I go to find help with graphs?
Click here to see answer by edjones(7569)

Question 363631: CAN YOU PLEASE EXPLAIN THE STEPS
ADD OR SUBTRACT AS INDICATED
(5+8i)-(9-+2i)
THANK YOU
Click here to see answer by Alan3354(31518)

Question 363555: FIND THE GREATEST COMMON FACTOR CAN YOU PLEASE EXPLAIN THE STEPS
21M^6+14M^3-7M^2
THANK YOU
Click here to see answer by Fombitz(13828)

Question 363578: Hello,
need help graphing the following.
5x+8, if x if less than 0
2x^2-5. if x is greater than or equal to 0
Click here to see answer by Fombitz(13828)

Question 363653: if f(x)=1/(x-3) and g(x)=f(6x) what is f(g(x))?
Click here to see answer by Fombitz(13828)

Question 363580: solving for x:46+3x-60=5x-10-4x
Click here to see answer by checkley77(12569)

Question 363659: 2^5/2-2^3/2 How?
Click here to see answer by checkley77(12569)

Question 363603: simply write the rational expression in lowest terms and list the Least common denominator

9/x-2-3/x
Click here to see answer by checkley77(12569)

Question 363729: Angle M and Angle N are Supplimentary Angles. If Angle M is 9 more than 1/2, Angle N what are the measures of the Angles? Show the work...
Click here to see answer by amoresroy(333)

Question 363739: Describe the end behavior of the polynomial by finding X-> ∞ and X-> -∞
F(X) =X^3 - 7x^2 +2x-1
Can you please help me step by step . thank you in advance :)
Click here to see answer by stanbon(57967)

Question 363806: x^2/3 - x^1/3 - 20 = 0
Click here to see answer by amoresroy(333)

Question 363806: x^2/3 - x^1/3 - 20 = 0
Click here to see answer by robertb(4012)

Question 363803: 8/a^2+a-6 = 6/a^2-9
Click here to see answer by robertb(4012)

Question 363801: (x - 3)^2 + (x + 2)^2 = 17
Click here to see answer by robertb(4012)

Question 363805: (x - 2)^3/4 = 2
Click here to see answer by robertb(4012)

Question 363878: A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 6y ft. and the middle length side x + 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out and express in simplest correct mathematical form, including units.
I thought I had this until I looked at the formula for a right triangle
This is what I have
(x-6y)(x+6y) using FOIL
= x^2 - 36y^2 ft But how does this fit with a^2 + b^2 = c^2
Would I divide x^2 - 36y^2 by 2? I am so confused.

Click here to see answer by stanbon(57967)

Question 363918: Please help me solve this equation:
(8x2 +6x -27)/(2x-3)

Click here to see answer by Alan3354(31518)

Question 363956: What are the factors for 6x^3-3x^2-45x ?
Click here to see answer by stanbon(57967)

Question 363942: need help solving (t/t-6)=(36/t squared - 6t) the / seperates the numerator from the denominator. complex rational expressions
Click here to see answer by edjones(7569)

Question 364043: determine the value that f(x)=4x-5/x-6 approaches as x-increases and decreases in magnitude without bound. Thank you
Click here to see answer by solver91311(17077)

Question 363936: x3 + 3x2 + -8x + -24
factor by grouping

Click here to see answer by robertb(4012)

Question 364087: From (x - 1)^2 subtract (x - 3)(x - 1) the result is
(A) 2(x - 1) (B) - 2(x - 1) (C) 4(x - 1) (D) - 4(x - 1) (E) x(x - 1)
Click here to see answer by Mr.positive(13)

Question 364109: Everyone has helped me so much on this site. You all are life savers. I have another word problem
. A school designer wants to create a whiteboard with the optimal dimensions to enhance learning. It is determined that if one side of the whiteboard is x + 5y inches, the other side should be x^2 - 5xy -4y^2 inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution. I multiplied and my answer is x^3 - 20y^3 - 29xy^2. Did I do this correctly or am I totally wrong?? Thanks for the help
Click here to see answer by ewatrrr(10682)

Question 364152: factor the polynomial completely
3x^2 + 8x + 4

Click here to see answer by Earlsdon(6294)

Question 364319: find the zeros of the function algebraically. f(x)=4x^3-9x
Click here to see answer by Fombitz(13828)

Question 364321: find all real zeros and their multiplicity of the polynomial function f(x)=(x-4)squared(x+2)
Click here to see answer by Fombitz(13828)

Question 364326: larry uses a slingshot to launch a rock straight up from a point 6ft above ground level with an intial velocity of 170 ft/sec. find the equation that models the height of the rock t seconds after it is launched

Click here to see answer by Fombitz(13828)

Question 364331: HOW WOULD YOU SOLVE 80-6X DIVIDED -10
Click here to see answer by Fombitz(13828)

Question 364340: can you please explain how you get your answer
find the least common factor
40n^27+24n^9+8n^3
thank you
Click here to see answer by mananth(12270)

Question 364381: Find all of the real solutions of the polynomial equation.
x^5 - x^4 -3x^3 + 5x^2 -2x = 0

So far I have gotten that I would need to take out an x
x(x^4 - x^3 -3x^2 +5x -2)
Click here to see answer by robertb(4012)

Question 364401: what is 32x^2+24b^2-40z^2
Click here to see answer by mananth(12270)

Question 364339: can you please show me how you get the answer
find the greatest common factor
10x^8-15x^4+20x^12
thank you
Click here to see answer by mananth(12270)

Question 364441: Divide and Simplify.
x^2-36/x ÷ x-6/x+8
Click here to see answer by mananth(12270)

Question 364441: Divide and Simplify.
x^2-36/x ÷ x-6/x+8
Click here to see answer by Fombitz(13828)

Question 364378: Find all of the real solutions of the polynomial equation.
2x^4 + 7x^3 - 26x^2 + 23x -6 = 0

Click here to see answer by Fombitz(13828)

Question 364474: g(x)=1/x^6
prove g is not one to one using the defintion of a one to one function.
Click here to see answer by Fombitz(13828)

Question 364478: Please help with this problem.
Add and simplify:

3/4x^2 +27x + 45 + 1/4x^2 +31x+60
Thank you
Sal
Click here to see answer by jokaehler(26)

Question 364503: This is the question :
Here is what I tried (not sure if I did it correct).
=>
=>
=>

I am not sure if there is another step or if I am finished.

Click here to see answer by Fombitz(13828)

Question 364534: Use synthetic division to verify the upper bound and lower bound of the zeros of f.
f(x) = 2x^4 -8x +3
Upper bound: x= 3; Lower bound: x= -4
The quotient I found for the upper bound was 2x^3 + 6x^2 + 18x + 46 + 136/ x-3
I have no idea if this is right and I am not sure where I would need to go from here.

Click here to see answer by stanbon(57967)

Question 364564: May I please have some help factoring this equation:

I have the answer key and it has this work written out:

It seems to me like the answer is missing an "". If so, could you please let me know, and if not, can you please tell me why?
Thank you very much!
Click here to see answer by stanbon(57967)

Question 364599: Solve the equation: 4x^2+4=x
Answer choices:
A.) 1 +- sqrt(63)
B.) 1 +- i sqrt(63) divided by 8
C.) 1 +- i sqrt(63) divided by 4
D.) -1/4, 1/4
Thank you!
Click here to see answer by unlockmath(1614)

Question 364607: Give the domain and range for the rational function. Use interval notation.
f(x)=(10/x) +1

Click here to see answer by edjones(7569)

Question 364655: Hi, I have a question about an equation. My equation says solve for p.
3p-7p + 22 = 2
I got an answer of -5 or p = -5. Why is that not right? I checked it over and got the same answer. Can you explain?
Click here to see answer by Fombitz(13828)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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