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

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 141267: Hello I have to solve polynomials using the GFC and I do not know how. I have to so life tons so if you could help me with a few it would be great. OK so they 4 times t to the 5th power minus 12 times t to the 3rd power plus 8 times t to the second power. The next one is 12 times w to the 3rd power plus 8 times w to the second power plus 20 times w. Also if you could help me with 2 times k to the fourth power plus 4 times k to the 3rd power minus 6 times k minus 8. This one i can not seem to do.I will try to write them now in math form but just to let you know ' with a number after is an exponent. 4t'5-12t'3+bt'3 and 12w'3 + 8w'2 + 20w and 2k'4+4k'3-6k-8. Please help me i am sp confuses Click here to see answer by stanbon(57967)

 Question 141279: how do you factor 9x squared + 18x? Click here to see answer by Earlsdon(6294)

 Question 141288: I have a final tomorrow and this question is on the review. Factor completely: x^3+x^2-25x-25 Click here to see answer by stanbon(57967)
 Question 141288: I have a final tomorrow and this question is on the review. Factor completely: x^3+x^2-25x-25 Click here to see answer by Earlsdon(6294)

 Question 141291: m/5 + m The directions for this problem say to Perform the indicated operation and reduce the answer to the lowest terms. I am trying to follow the examples in the book to solve the problems but I didn't see an example like this one. Could you please help? Thank you, Anne Click here to see answer by edjones(7569)

 Question 141329: please tell me if this is right. thanks . five friends were waiting in a line.how many different ways can they arrange themselves in that line? I got 25 Thanks for helping Click here to see answer by stanbon(57967)

 Question 141328: please help. Anita won the class election by a margin of 5 to 3.she received 355 votes .How many votes did the other candidates get? thanks for the help. Click here to see answer by stanbon(57967)

 Question 141327: Please help. write the equation of the line given m=2 and b=-1 Thanks for helping Click here to see answer by stanbon(57967)

 Question 141270: How do you do these Click here to see answer by solver91311(17077)
 Question 141270: How do you do these Click here to see answer by kriswalt(1)

 Question 141356: Can you solve this one?....I have to factor by grouping... Page 312 #16 x^2-4x+3x-12 Click here to see answer by nabla(475)

 Question 141357: Please help me solve this one...I have to factor this problem... Page 319 #10 x^2-13x+12 Click here to see answer by nabla(475)

 Question 141353: Can you solve this?...Remove the largest possible common factor... Page 307 #12 8x^3-10x^2-14x Click here to see answer by nabla(475)

 Question 141349: Hi there can you help me solve this problem?..... I have to subtract it....THANKS!!!! Page 272 #20 (5x-5)-(6x-3) Click here to see answer by nabla(475)

 Question 141350: Can you help me solve this one?......I have to divide this... Page 292 Number6 49x^8-35x^6-56x^3 ---------------- 7x^3 Click here to see answer by nabla(475)

 Question 141355: Can you help me with this? Thanks!!!....Hint: In exercises 29-42, refer to examples 6 and 7........not sure exactly what to do with this... 5x(x-7) + 3(x-7) Click here to see answer by nabla(475)

 Question 141378: Tutor how do I do this problem:* Use synthetic division to find the quotient and the remainder (x^5+32)divided by (x+2) Click here to see answer by ankor@dixie-net.com(15746)

 Question 141385: this problem is on page 407. 1/2 +1/4x --------- = I didn't get the same answer as the back of the book. It's x/3 - 1/12x supposed to be 3/2x-1. I don't understand how they got that. Anne Click here to see answer by ptaylor(2052)

 Question 141412: what is 5x^2-13x-6 Click here to see answer by checkley77(12569)

 Question 141410: Sorry I forgot to type in the problem I have vision problems: f(x)= -6 thank you for your help: Tutor this is an exercise from my textbook by beecher, penna, bittinger (Algebra & Trig) Determine the leading term, the leading coefficient, and the degree of the polynomial. then classify the polynomial as constant, linear, quadratic, cubic or quartic. thank you for your help Click here to see answer by stanbon(57967)

 Question 141407: what is a polynomial? Click here to see answer by stanbon(57967)

 Question 141398: (20x^4-2x^3+5x+3)/(2x-3). I understand how to divide polynomials, but this equation stumped me. Could you provide me direction? Click here to see answer by stanbon(57967)

 Question 141387: FIND THE ZEROS OF THE POLYNOMIAL FUNCTION AND STATE THE MULTIPLICITY IF EACH. f(x)=x cubed+7x squared-x-7 A)-7, multiplicity 1; -1 multiplicity 2 B)-7, multiplicity 2; 1, multiplicity 1 C)-1 multiplicity 1; 1, multiplicity 1; 7, multiplicity 1 D)-7, multiplicity 1; -1 multiplicity 1; 1, multiplicity 1 I'm thinking the answer is D, but I would like to know for sure. Thanks! Click here to see answer by rapaljer(4667)

 Question 141462: Graph in the rectangular coordinate systems provided. 3x = 15 Click here to see answer by Edwin McCravy(8999)

 Question 141447: Solve eqation b(5b-3)=0 Click here to see answer by nabla(475)

 Question 141482: what expression represents the product of 3 less than and 2 more than the quantity of 3 times x Click here to see answer by stanbon(57967)

 Question 141434: To estimate the size of the bear population on the Keweenaw Peninsula, conservationalists captured, tagged and released 50 bears. one year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationalists estimate of the size of the bear population? Any help will be appreciated. Thanks, Anne Click here to see answer by scott8148(6628)

 Question 141494: I have to factor if possible and completely factor..always factor out the greatest common factor first if one exists... Page 336 #22 by+7b-6y-42 Click here to see answer by scott8148(6628)

 Question 141492: I need help !!!!!! :( I have to factor this one if possible. be sure to factor completely...always factor out the greatest common factor first, if one exists... Page 336 #14 y^2+16y+64 Click here to see answer by scott8148(6628)
 Question 141492: I need help !!!!!! :( I have to factor this one if possible. be sure to factor completely...always factor out the greatest common factor first, if one exists... Page 336 #14 y^2+16y+64 Click here to see answer by solver91311(17077)

 Question 141491: Can you help me solve this?.....I have to factor this problem... Page 319 #14 x^2-6x-16 Click here to see answer by scott8148(6628)

 Question 141495: Using the factoring method, solve for the roots of each quadratic equation. Be sure to place the equation in standard form before factoring. check yuor answer... Can you help me solve this?... Page 336 #2 x^2-x-20=0 Click here to see answer by scott8148(6628)

 Question 141496: Using the factoring method, solve for the roots of each quadratic equation. Be sure to place the equation in standard form before factoring. check yuor answer... Can you help me solve this?... Page 344 #12 9x^2=81 Click here to see answer by scott8148(6628)

 Question 141468: Find the perimeter. 4cm x 4cm x 3cm x 1cm Click here to see answer by checkley77(12569)

 Question 141458: Graph in the rectangle coordinate systems provided. Label clearly. y = -1/3x + 4 Click here to see answer by checkley77(12569)

 Question 141512: okay this question is on our study guide for chapter 8. Find the product. 3x^2y(2x^2y-5xy^2+8y^3x^2) I have already attempted the problem and got 6x^4y^2-15x^3y^3+24y^4x^4 Is this right? If it is not could someone explain to me how to correct what I did? Click here to see answer by scott8148(6628)

 Question 141522: this problem is not from my book. We are working in rational expressions and equations. 20^1/2 + 5^1/2 = sqt rt 20 + sqt rt 5 Any help would be appreciated. Thank you. Anne Click here to see answer by checkley77(12569)
 Question 141522: this problem is not from my book. We are working in rational expressions and equations. 20^1/2 + 5^1/2 = sqt rt 20 + sqt rt 5 Any help would be appreciated. Thank you. Anne Click here to see answer by ankor@dixie-net.com(15746)

 Question 141459: Graph in the rectangular coordinate systems provided. Label clearly. x = 0 Click here to see answer by solver91311(17077)

 Question 141428: This is a study problem from Exercise 3.1, book Algebra and Trig (Beecher and Bittinger: Determine the leading term, the leading coefficient and the deree of the polynomial. then classify the polynomial as constant, linear, quadratic, cubic or quartic. f(x) = -6 Click here to see answer by solver91311(17077)

 Question 141543: Verify that x = 2 is a root of multiplicity 3 of the equation x^4 - 4x^3 + 16x - 16 = 0. What is the other root? Click here to see answer by solver91311(17077)

 Question 141561: How do I solve? The additive inverse of a number divided by 12 is the same as one less than 3 times its reciprocal. Find the number. Click here to see answer by ankor@dixie-net.com(15746)

 Question 141559: How do I solve? A person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took three hours less time. Find the speed going. Click here to see answer by ankor@dixie-net.com(15746)

 Question 141571: Problem: Solve by factoring... 7X(X-1)=1-X Click here to see answer by edjones(7569)

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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