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

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Question 182701: Find the sum of 5m+3n+p, -5p+3n, and 2n-m
Click here to see answer by Mathtut(3670)

Question 182700: a-{b-[c-(d-e)-f]-g}
Click here to see answer by Mathtut(3670)

Question 182713: (2n+5)-(3n+7)+(4n-9).
Click here to see answer by Mathtut(3670)

Question 182703: Fidn the sum of -5ab+7ab+(-9ab)+ab+(-2ab).
Click here to see answer by Mathtut(3670)

Question 182716: What is the qoutient to the problem (6x^4-3x^3+5x^2+2x-6)/(3x^2-2)?
Click here to see answer by vleith(2825)

Question 182688: Please help me answer this question:
Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reached 1 for an answer? You should have. How does this number game work? (Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression). How did the number game use the skill of simplifying rational expressions? 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 Mathtut(3670)

Question 182728: I have a problem. (xsquared - 3x + 5) (x + 9). What I have so far is 5x and 45. I'm not sure how to go about the others...
Click here to see answer by josmiceli(9697)

Question 182733: please show me how to square this binomial problem
3z+5k
find the quotient and remander for this dividison problem
a3-3a2+4a-4):a-2
Click here to see answer by Mathtut(3670)

Question 182810: what is the correct answer to
2x-36
12x=2*6*x
36=6*6
=2x+7
Click here to see answer by Alan3354(30993)

Question 182860: how do i find all real solutions?
a^2-40=0
Click here to see answer by checkley77(12569)

Question 182866: how do i find all real or imaginary solutions?
3v^2+4v-1=0
Click here to see answer by Alan3354(30993)

Question 182861: Find a value for k that will make 4x^2 + 6.4x + k a perfect square. Describe the procedure that you used which requires algebra [that is, not trial and error].
Click here to see answer by nerdybill(6963)

Question 182867: please help me find the quotient of these problems please
-9x3+3x2-15x
_______________
-3x

2. y3+8y2+14y+12:y+6

Click here to see answer by Mathtut(3670)

Question 182907: I'm having trouble with this problem:
Simplify the following problem
(-7c^3d^4)(4cd^3)
I got as far as
(-7)4(cc^3)(d^4d^3)
-28(
Click here to see answer by Alan3354(30993)

Question 182907: I'm having trouble with this problem:
Simplify the following problem
(-7c^3d^4)(4cd^3)
I got as far as
(-7)4(cc^3)(d^4d^3)
-28(
Click here to see answer by jim_thompson5910(28598)

Question 182862: hiw do i solve and check for extraneous roots?
sqrt(a-1)-5=1
Click here to see answer by solver91311(16897)

Question 182949: Factor: 120y^2 - 23xy + x^2

Click here to see answer by Earlsdon(6287)

Question 182948: Factor: 4x^2 +40x +100
Click here to see answer by jim_thompson5910(28598)

Question 182951: Factor completely: x^3 - x^2 - 6x
Click here to see answer by Earlsdon(6287)

Question 182950: Factor: 112z^2 +9yz - y^2
Click here to see answer by Earlsdon(6287)

Question 182957: 5x^4-35x³-90x²
Click here to see answer by jim_thompson5910(28598)

Question 182967: Solve and show steps:
Rationalize the denominator:
2
______
[6]-[5]
Sorry cannot demonstrate the square root sign, it goes with the 6 and 5!

Click here to see answer by nerdybill(6963)

Question 183017: Use the Binomial Theorem to expand (3r-2)^5
Click here to see answer by jim_thompson5910(28598)

Question 183023: Divide and show steps
2x^2+5x-12
----------
9x^2-16
divided by
2x^2-7x+6
---------
3x^2-x-4
Click here to see answer by jim_thompson5910(28598)

Question 183030: Help with Find all rational zeros of the polynomial (using synthetic division)
22. p(x)=

What I did: multiples of 1= +-1
multiples of 4= +-1 +-4 +-2
possible zeros: +-1 +-4 +-2 (after dividing constant over leading coeficient)
I used synthetic division to test which are zeros. +1 worked, +4 did not, +2 using the quotient of +1 (1 -1 -4 4) did not work gave me remainder of 8, but when I used the original coeficients (1 -2 -3 8 -4)it gave me a zero. I was told by my professor that either way it should work.
Any information is much appreciated, have at test coming up. Thank you
Click here to see answer by stanbon(57399)

Question 183052: please help me with this problem
find the quotient
6y6-9y4+12y2
3y2
Click here to see answer by jim_thompson5910(28598)

Question 183081: Could you help me by showing how to divide this polynomial?
(3x^3-9x-3)/(3x-3)
Click here to see answer by stanbon(57399)

Question 183087: Do the operations and simpify!
a+3
-------
36-a^2
multiplied by
4a-24
------
4a+12
a) -1/a-6
b) 1/a+6
c) 1/a-6
d) -1/a+6
Click here to see answer by jim_thompson5910(28598)

Question 182909: 3x^3 8Y^2
----X----
2Y 9X
thanks
Click here to see answer by edjones(7569)

Question 183114: How do I factor:
6x^2 - 66
When I am factoring I come up with
6(x^2-11) Isn't this prime and if so how do I complete the problem. I guess I don't full understand the prime concept. Thank you

Click here to see answer by Alan3354(30993)

Question 183113: HOw do I factor:
24x^3 - 3
Do I use the difference of a cube formula?
Click here to see answer by Alan3354(30993)

Question 183102: Factor 8x^3-6x^2-2x
Click here to see answer by rapaljer(4667)

Question 183060: I need help with this problem
find the quotient and remainder for this division

(a3-3a2+4a-4):(9-2)
Click here to see answer by stanbon(57399)

Question 183160: 6g^3-24g^2+24g
Click here to see answer by jim_thompson5910(28598)

Question 183188: I need help with this problem I tried to solve it myself but keep getting it wrong.
simplify the expression
3xy8.5xy9/20x3y14
Click here to see answer by Alan3354(30993)

Question 183214: "what are the values of a and c in the trinomial square ax^2+12x+c if a is not 1 and c is greater than a?"
Click here to see answer by josmiceli(9697)

Question 183242:
Click here to see answer by rapaljer(4667)

Question 183253: Was wondering if someone could help me simplify (3x^3-9x-3)/(3x-3)
I end up with the answer x^2+x-2, remainder -9 but that's not one of the answers on the multiple choice question.
Click here to see answer by stanbon(57399)

Question 183368: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length of the sandbox is designed to be 10 feet longer than the width, write a polynomial that represents the area of the sandbox.
Click here to see answer by jim_thompson5910(28598)

Question 183374: I can't remember what to multiply by to get x by itself. (-2/x)=-11
Click here to see answer by jim_thompson5910(28598)

Question 183375: add or subtract as indicated. simplify if possible:
x-2/x^2-25 - x-2/25-x^2
Please help!!
Click here to see answer by jim_thompson5910(28598)

Question 183372: add or subtract as indicated. Simplify if possible:
3y/4y-20+9y/6y-30
Please help!!
Click here to see answer by jim_thompson5910(28598)

Question 183359: Suppose that you square two consecutive whole numbers and subtract the smaller square from the larger. Is it possible that the difference is an even number
provide an example please

Click here to see answer by vleith(2825)

Question 183367: How would you know if the trinomial is a factor of the polynomial when you divide a polynomial by a trinomial? Explain with examples.

Click here to see answer by stanbon(57399)

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