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

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

Question 126308: Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions.

Click here to see answer by MathLover1(20849)

Question 126295: How would you write this rational expression in lowest terms?
a^2-9/18-2a^2
Click here to see answer by solver91311(24713)

Question 126325: I am not really sure how to do this problem> I know that I have had these before but I am stumped.
1/4n-1/2divided by n/5-1/20n
That' the problem.
I tried to get rid of the fraction by
(4n)1/4n-1/2(4n)divided by (20n)n/5-1/20(20n)
1-2n divided by 4n-1
but for some reason this doesn't look right.
Please Help
Click here to see answer by stanbon(75887)

Question 126329: Set up the following subtraction in a verticle format and enter the solution:
Find a - 2b + 3c diminished by a - 2b - 3c + d.

Click here to see answer by MathLover1(20849)

Question 126345: How would you factor the expression 4a^2-36b^2?
Click here to see answer by checkley71(8403)

Question 126345: How would you factor the expression 4a^2-36b^2?
Click here to see answer by bucky(2189)

Question 126347: Someone please help me with this problem! It involves a little geometry as well as algebra I suppose.
A rectangle is 5 cm longer than it is wide. If its length and width are both increased by 3 cm, its area is increased by 60 cm^2. Find the dimensions of the original rectangle.
I tried to set it up by combining terms to get the equation x^2 + 24 = y + 60 but that produced answers that didn't seem to check.
If you can, please help me out!
Click here to see answer by josmiceli(19441)

Question 126370: t^2-16/t^2-8t+16
Click here to see answer by jim_thompson5910(35256)

Question 126433: Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2 � 4x

Click here to see answer by bucky(2189)

Question 125637: Find the LCM of 35y^2 and 175y^9.

Click here to see answer by apachemexican1(64)

Question 126493: Need to simplify the rational expression by factoring -1 from the numerator or denominator first. I know how to do most of um I don't how to do it with a exponent.

X^2 - 4/2-x
I got to the next step
x^2 - 4/-x + 2
Click here to see answer by MathLover1(20849)

Question 126526: what is the scientific notation of 324,000,000?
Click here to see answer by josmiceli(19441)

Question 126573: how do you write the polynomial 6x2-9x3+3 in standard form? I cant seem to be
able to comprehend.
Click here to see answer by checkley71(8403)

Question 126565: i need help with chaper 7 lessons 1-5!
Click here to see answer by solver91311(24713)

Question 126675: x3-64
Click here to see answer by solver91311(24713)

Question 126674: 8x2+10X-3
Click here to see answer by jim_thompson5910(35256)

Question 126662: 3t^2+14t-5
Click here to see answer by jim_thompson5910(35256)

Question 126649: write each expression in lowest terms:

2x^2-3x-5 / 2x^2-7x+5
Click here to see answer by checkley71(8403)

Question 126729: This question is from the Oral Exercises section.
I have to state degree of each polynomial.
{I don't know how to type powers, so I apologize in advance for the poorly copied problem}
r{power of 2}s - 3rs{power of 3} + 2r{power of 3}s{power of 2} + s{power of 4}
My solution:
r= 2-1+3 = 4
s+ 1-3+2+4 + 4
Degree of polynomial is 8.
Back of book answer is 5.
Where did I go wrong?
Click here to see answer by solver91311(24713)

Question 126827: a squared-3a-28 over a squared +3a-4
Click here to see answer by stanbon(75887)

Question 126830: how do you solve algebra equations?
Click here to see answer by solver91311(24713)

Question 126848: I don't know if I typed this question out right. It should be x squared over x-2 = 4 over x-2. And the instructions are to solve for x.
Thank you
shelena
Click here to see answer by MathLover1(20849)

Question 127025: The bottom of a 13-foot long ladder is placed 5 feet away from a wall so that the ladder rests against the top. Assuming the wall is perpendicular to the ground, what is the height of the wall?
Click here to see answer by checkley71(8403)

Question 126995: The length of a rectangle measures 2x-3 and the width measures x+8. Express the perimeter of the rectangle as a binominal in terms of x
Click here to see answer by checkley71(8403)

Question 126993:
Express as a binomial: 5(x-4)-4(2x-3)=
Click here to see answer by checkley71(8403)

Question 126996: There are n chaperones on a field rip. The number of boys on the trip is 6 less than twice the number of chaperones and the nummber of girls is 7 less than half the number of boys. How many total people are on the trip?
Click here to see answer by josmiceli(19441)

Question 127111: I have been mutiplying bionomials but, this one has three monomials multiplied together, how do I proceed. (2y+1)(y+z)(3y-1)
Click here to see answer by solver91311(24713)

Question 127152: Solve.
x-5/x+4 = 4/7
Click here to see answer by jim_thompson5910(35256)

Question 127156: Simplify by removing factor of 1.
p^2-36/(p+6)^2
Click here to see answer by solver91311(24713)

Question 127154: Add.
6/z-5 + 6/z+5

Click here to see answer by solver91311(24713)

Question 127153: Find the LCM.
y^3 + 8y^2 + 16y, y^2 - 8y
Click here to see answer by solver91311(24713)

Question 127153: Find the LCM.
y^3 + 8y^2 + 16y, y^2 - 8y
Click here to see answer by MathLover1(20849)

Question 127181: I hope I'm asking this question in the correct area. It pertains to factoring polynomials. The problem reads: factor completely y^2(y+1)-4y(y+1)-21(y+1)
I got down to (y+1)(y+3)(y-7), but this doesn't seem quite right. Any help is greatly appreciated.
Click here to see answer by stanbon(75887)

Question 127206: I have one more problem that is stumping me. It reads: An open rectangular gutter is made by turning up the sides of a piece of metal 20 in. wide. The area of the cross-section of the gutter is 50in^2. Find the depth of the gutter. Any help on this one would be greatly appreciated!!!
Click here to see answer by Earlsdon(6294)

Question 127204: The problem reads: The mainsail of a lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24-ft tall mainsail has a leech length of 26 ft. and if Dacron sailcloth costs $10 per square foot, find the cost of a new mainsail.
Unfortunately, I'm not quite sure where to start with this one. Any help would be greatly appreciated!
Click here to see answer by Earlsdon(6294)

Question 127133: Add. Simplify, if possible.
8/v + 3/v^2
Click here to see answer by ankor@dixie-net.com(22740)

Question 127196: The roots of the equation 2x^2-5=0 are
1) imaginary 2) real, rational, and equal 3) real, rational, and unequal
4) real and irrational
Click here to see answer by edjones(8007)

Question 127150: Simplify by removing factors of 1.
q^2 - 25/q^2-10q+25
Click here to see answer by edjones(8007)

Question 127113: I can only get so far on this division question then I am stuck.
(4x^2�-x�+5)/(2x�+1). I know the first number in the quotient is 2x� however, how do I divide x�+5 (remainder), by the divisor 2x�+1. The answer is 2x�-3/2;R=13/2. How do I find the fractions to solve this one
Click here to see answer by ankor@dixie-net.com(22740)

Question 127292: Solve.
t/3 - 3/t = 0
Does t = 0? I've been having alot of difficulty with the last couple of chapters in my class. Sometimes I think I get it and then I realize I don't have a clue.
I appreciate the help!
Click here to see answer by jim_thompson5910(35256)

Question 127293: Find the LCM.
35b^8c^2, 7b^4c^8, 15b^9c^2
Click here to see answer by checkley71(8403)

Question 127296: Find all the numbers for which the rational expression is undefined.
I got to the point that I rewrote the problem as:
7z+5 = 0
But, I'm stuck now. I know I should be able to solve for z at this point, but I keep getting the wrong answer. What could I be doing wrong? Did I set the problem up wrong to begin with?
Click here to see answer by checkley71(8403)

Question 127289:
Multiply & simplify.
4x^8/3q^4 multiplied by 9q^8/16x
Click here to see answer by checkley71(8403)

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, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 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