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

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

Question 115498: Find an expression theat represents the perimeter.
Side 1 = 3 OVER 4x
Side 2 = 1 OVER x squared
Side 3 = 5 OVER x squared
Click here to see answer by checkley71(8403)

Question 115515: Consider the function f(x)=x^2+6x-2.
a) Find h, the x-coordinate of the vertex of this parabola.

Click here to see answer by jim_thompson5910(35256)

Question 115516: Consider the function f(x)=x^2+6x-2.

b)Substitute the two whole number values immediately to the left and right of h into the function to find the corresponding y. Fill in the table below. Make sure your x-values are in increasing order in your table.
Click here to see answer by jim_thompson5910(35256)

Question 115490: subtract the sum of 7x^2-4x and -3x^2+4x from 2x^2+5x
Click here to see answer by checkley71(8403)

Question 115517: Find the horizontal and vertical asymptotes of the following. Type �none� if the function does not have an asymptote.
f(x)=(2x-3)/(x^2+2)
Click here to see answer by jim_thompson5910(35256)

Question 115489: subtract the sum of 7x^2-4x and -3x^2+4x from 2x^2+5x
Click here to see answer by checkley71(8403)

Question 115519: Find the horizontal and vertical asymptotes of the following. Type �none� if the function does not have an asymptote.

b)g(x)=5x/(x-1)
Click here to see answer by jim_thompson5910(35256)

Question 115497: Add or subtract as indicated. Express your result in simplist form.
4y OVER y squared + 6y + 5 PLUS 2y OVER y squared - 1
Click here to see answer by pondziebaby(2)

Question 115495: Add or subtract as indicated. Express your results in simplist form.
2 OVER 5w + 10 MINUS 3 OVER 2w - 4

3 OVER x squared + 4x + 3 MINUS 1 OVER x squared - 9
Click here to see answer by pondziebaby(2)

Question 115531: I need help factoring x4 + x2y2 + y4 (please note that the 4's and 2's are exponents)
Click here to see answer by stanbon(75887)

Question 115533: Please help me solve this problem, the problem states to solve: 6x^2+13x-5=0
Click here to see answer by stanbon(75887)

Question 115534: I need help solving this type of problem, it says to factor: 9x^2-25. the answer I got was(5+3x)(-5+3x)I need to know if that is right and if not please show me the steps so that I can understand how to do these type problems.
Click here to see answer by stanbon(75887)

Question 115536: I need help with this problem, will someone please help me solve this problem?
The problem says to solve for x and express answer in interval notation and to show all steps: -4(2x+3)-2(x+4)<0
Click here to see answer by jim_thompson5910(35256)

Question 115532: Will someone please help me solve this problem? It says factor:x^2+5x-36
Click here to see answer by jim_thompson5910(35256)

Question 115563: Factor using AC Method. 9x^2-15x-6
Click here to see answer by jim_thompson5910(35256)

Question 115605: I submitted this problem yesterday. I recd a response for one of the problems but I'm not sure which one the answer was for and I'm not sure how the answer came to be. I asked the tutor for clarification, but I didn't get a response. Can you please help me with these two again with a bit more detail.
2 OVER 5w + 10 MINUS 3 OVER 2w - 4

3 OVER x squared + 4x + 3 MINUS 1 OVER x squared - 9
Click here to see answer by stanbon(75887)

Question 115569: I cant figure out how to solve ...
(x+4)/3x + (x+8)/5x = 2
Click here to see answer by jim_thompson5910(35256)

Question 115655: Can someone please help me with this problem. I tried to do the problem and I just keep getting very confused.
We are specifically looking for how to factor polynomials when the leading coefficient is not 1. How can we find the correct way to break up the middle term to make this come out right.
Can you please factor the polynomial
4x^2 + 4x - 99
Please tell us why and how you carry out each step of the process.
PLEASE HELP ME!!!!

Click here to see answer by jim_thompson5910(35256)

Question 115668: Factor completely. m cubed - 9m squared n+ 18n squared m
Click here to see answer by jim_thompson5910(35256)

Question 115666: Factor completely. ax-ay+x squared -xy
Click here to see answer by jim_thompson5910(35256)

Question 115487: Perform the indicated operation.
14x - 7 OVER x squared + 3x - 4 TIMES x squared + 6x + 8 OVER 2x squared + 5x - 3 DIVIDED BY x squared + 2x OVER x squared + 2x - 3
Click here to see answer by ankor@dixie-net.com(22740)

Question 115717: multiply the following rational expressions :
1- 3x/2y * y^2 / 6

2- 6x^5y^3 / 5z^3 * 6x^4 / 5yz^4

Click here to see answer by stanbon(75887)

Question 115729: x^2y^2+3x^2y-4x^2
Click here to see answer by jim_thompson5910(35256)

Question 115732: FACTOR X^9-4X^7
Click here to see answer by jim_thompson5910(35256)

Question 115749: i think the answer is (3y+5)(3y-5).
Click here to see answer by jim_thompson5910(35256)

Question 115752: Factor these ?
4x^2 -12x -40

2x^2 -16x +30
Click here to see answer by Gator Tutoring(5)

Question 115752: Factor these ?
4x^2 -12x -40

2x^2 -16x +30
Click here to see answer by jim_thompson5910(35256)

Question 115744: the sum of the squares of two consecutive even integers is 452. find the numbers.

Click here to see answer by MathLover1(20849)

Question 115737: The combined resistance of two resisitors R1 and R2, in a parallel circuit is given by the formula.
Rr= 1/1/R1+1/R2
Simplify the formula. I'm totally lost on this question. Any assistance would be greatly appreciated.
Click here to see answer by vertciel(183)

Question 115745: I have to factor 2p(p+1)(p-6)+16(p+1) completely. The answer is 2(p+1)(p-4)(p-2), but I don't know how to get there. PLEASE HELP!!!!!!!
Click here to see answer by vertciel(183)

Question 115747:
Click here to see answer by jpa65@hotmail.com(9)

Question 115764: 2/X+3-3X+5/X^2+4X+3=5/X+1
I keep getting negetative three but when i plug it in it doesn't work and i dont know how else i can solve it can you PLEASEE help!!!
Click here to see answer by stanbon(75887)

Question 115795: I need help factoring these polynomials completely.
20x squared - 7x - 6
ab - a - b + 1
and -8z squared + 48z - 72
Click here to see answer by edjones(8007)

Question 115792: Factor The Polynomial f(x). Then solve the equation f(x)=0
1) F(x)= x^4-8x^3+17x^2+2X-24
2) -square root 7, -3i
Find a polnomial function of lowest degree with rational coefficients that has the given numbers as some zeros. I have no idea where to start
3) f(x)=x^4-12x^2-64; -2i
The polynomial function has the given zero, find the other zeros
I have no idea where to start some one point me in the right direction.
Click here to see answer by stanbon(75887)

Question 115831: 1) 1/A=1/M+1/T solve for T
I thought my LCD was AMT but its still not coming out right.
If someone could help thanks.
Click here to see answer by checkley71(8403)

Question 115831: 1) 1/A=1/M+1/T solve for T
I thought my LCD was AMT but its still not coming out right.
If someone could help thanks.
Click here to see answer by josmiceli(19441)

Question 115746: A rectangle is 8 feet longer than it is wide. the area is 65 square feet. find its dimensions.
Click here to see answer by checkley71(8403)

Question 115726:
A plane flies 720 miles against a steady 30mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 hrs, what is the plane's speed in still air?

720/30 = 10/x
720x = 30*10
720x = 300
720x/720 = 300/720
Am I on the right track on solving this problem because the answer I come up with is not a whole number?
Click here to see answer by josmiceli(19441)

Question 115725:
x^9-4x^7=
Click here to see answer by checkley71(8403)

Question 115721: add and subtract the following : Numirator / Denominator
'denominators are the same'

1) x-1 /6 + x/ 6

2) 3x+4 / x+1 + 6x+5/ x+1

3) x+4 /3x+2 - x+4 / 3x+ 2

4) x^2+2x / 3x - x^2+5x+6 / 3x
Click here to see answer by checkley71(8403)

Question 115669: Divide write the answer in scientific notation.

85.5x10 to the negative 7th power by 9.5x10 to the negative 4th power
Click here to see answer by checkley71(8403)

Question 115608: Add or subtract as indicated. Express your results in simplist form.
5a - 12 OVER a squared - 8a + 15 MINUS 3a - 2 OVER a squared - 8a + 15
Click here to see answer by ankor@dixie-net.com(22740)

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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33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105