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

   


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


Question 631728: simplify the expression -2(4y^2+3z^3+5)+3(2y^2-5z^3+3)
a. -14y^2z^3+6y^2-1
b. -21z^3-2y^2-1
c. 9z^3-14y^2+19
d. 21z^3 +2y^2+1
I think the answer is c. If I am wrong can you show me how its not c, ty

Click here to see answer by ewatrrr(10682) About Me 

Question 631769: solve the following equation: 1/2+7/y=2+1/y
a. y=-4
b. y=4
c. y=3
d. y=-3

Click here to see answer by ewatrrr(10682) About Me 

Question 631774: simplify -a^2b^-2 / a^-2b^5/a^4b^-2
a. -a^8 b^3
b. -a^4 b^3
c. -a^4 b^-7
d. -a^8 b^-7

Click here to see answer by ewatrrr(10682) About Me 

Question 631776: Please help me understand how to do this..
Perform the indicated operations and simplify the following expression:
2z-1/z^2+z-6 - 3z-5/z^2-2z-15 + 2z-3/z^2-7z+10

Click here to see answer by ewatrrr(10682) About Me 

Question 631736: completely factor the expression y^2+12y+35
a. (y-7)(y-5)
b. (y+7)(y-5)
c. (y+7)(y+5)
d. prime

Click here to see answer by Edwin McCravy(8999) About Me 

Question 631808: 4x^2 - 3x -7 =0
Click here to see answer by ewatrrr(10682) About Me 

Question 631833: A rectangle has length 4x –1 and a width 2x + 1, write an algebraic expression for the area of the rectangle .
Click here to see answer by ewatrrr(10682) About Me 

Question 631835: If the area of a rectangle is x2 + 5x + 4, find algebraic expressions representing possible lengths and widths of the rectangle.
Thank you.

Click here to see answer by ewatrrr(10682) About Me 

Question 631841: If the area of another rectangle is x^2 + 5x + 4, find algebraic expressions representing possible lengths and widths of the rectangle.
Click here to see answer by ewatrrr(10682) About Me 

Question 631810: -6c+8+4c=-3c+13
Click here to see answer by jim_thompson5910(28715) About Me 

Question 631865: Multiplty:show your steps please.
(2x-4)(x^2-x-1)

This is my last problem, and my brain is frazzled. Can you help?
Thanks in advance.

Click here to see answer by richwmiller(9144) About Me 

Question 631887: 5x^4-20x^2=0
solve the polynomial equation by factoring and then using the zero product principle.

Click here to see answer by solver91311(17077) About Me 

Question 631966: i need help finding the solution to the equation below, (x-5)^2=7
Click here to see answer by richwmiller(9144) About Me 

Question 631949: ((6y+12)/(4y+3))/((2y-6)/(4y+3))
Click here to see answer by nerdybill(7003) About Me 
Question 631949: ((6y+12)/(4y+3))/((2y-6)/(4y+3))
Click here to see answer by Maths68(1474) About Me 

Question 632021: Hmmmm, what could this be???
Find the eight term in the expansion (a + b)14.

Thank you for your help!

Click here to see answer by nerdybill(7003) About Me 

Question 632019: I hate polynomials!! Could you help?
What is the sixth term of (x + y)8?

Click here to see answer by nerdybill(7003) About Me 

Question 632097: completely factor the expression 16t^3 - 50t^2 + 36t
a. 2t(8t - 25t + 18)
b. prime
c. 2t(8t + 9)(t + 2)
d. 2t(8t - 9)(t - 2)
I dont see how it could any of these, when you would subtract the intergers and then the numbers..Im lost

Click here to see answer by Alan3354(31518) About Me 

Question 632148: Solve.
w^4-20w^2-2=0
What is the solution?

Click here to see answer by josmiceli(9817) About Me 
Question 632148: Solve.
w^4-20w^2-2=0
What is the solution?

Click here to see answer by Edwin McCravy(8999) About Me 

Question 632139: write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard from ax²+bx+c=0
-√3,7√3

Click here to see answer by Tatiana_Stebko(1326) About Me 

Question 632295: What are the steps to sovling questions like x to the second power = 49 or x2=49
Click here to see answer by mananth(12270) About Me 

Question 632373: Hi , could someone plese explain how to rearrange the following equation
1/y=x-4/x make x the subject . thank you

Click here to see answer by ewatrrr(10682) About Me 

Question 632405: simplify the expression -2(4y^2+3z^3+5)+3(2y^2-5z^3+3).
Click here to see answer by 55305(76) About Me 

Question 632451: The height of a soccer ball after being kicked is given by the function h(t)=-16t^2+48t. How many seconds after being kicked will the ball hit the ground?
Thank you so much.

Click here to see answer by Alan3354(31518) About Me 

Question 632766: (2a+4)^(3)
I know the answer, I just can't figure out the steps to get the answer!! I am totally more confused than I thought I would be!

Click here to see answer by xerb(6) About Me 

Question 632798: I don't understand how to write x^10-1 as a product of two terms?
Click here to see answer by mananth(12270) About Me 

Question 632971: what is the GCF of 8x^2+20x
Click here to see answer by Alan3354(31518) About Me 

Question 633023: Factor(25x^2-4/49)
Would you please show the steps that derive the solution below?
Microsoft Mathmatics solution is 1/49(35x-2)(35x+2)

Click here to see answer by mananth(12270) About Me 

Question 633063: 9x^4+ 26x^2 = 3
Click here to see answer by mananth(12270) About Me 

Question 633038: simplify the expression 17c+ (-17c)by (multipy, distribute and/or combine like terms

Click here to see answer by solver91311(17077) About Me 

Question 633044: Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation f(x) = 0) : f(x) = x^3-4x^2+9x-10
Click here to see answer by lwsshak3(6755) About Me 

Question 633114: Complete the trinomial so it is a perfect square. 25x^2 + ___ + 4
Thanks a bunch! :)

Click here to see answer by reviewermath(602) About Me 

Question 633042: 10x^(5)+39x^(4)-24x^(3)-238x^(2)-216x+24=0
find the solution set using rational zero theorem and descarters's rule of signs

Click here to see answer by jsmallt9(3296) About Me 

Question 633139: show me the work and answer to (4pq)(-p2q3)
Click here to see answer by ewatrrr(10682) About Me 

Question 633117: What number should be added to both simplete the square? x^2+x=3des of the given equation to co
Click here to see answer by darknez25(6) About Me 

Question 633165: What should be added to both sides of the equation to complete the square? x^2-6x=-4
Click here to see answer by graphmatics(170) About Me 

Question 633269: I am having trouble factoring these problems completely...
9x^4 plus 32x^2 minus 16
And
X^3 minus x^2 plus 2x minus 2

Thank you so much!


Click here to see answer by ewatrrr(10682) About Me 

Question 633134: Here is my question: [w/{w^2+8w+16}] + [4/{w^2+12w+32}]. I need to add these two polynomial fractions together with variables and simplify. I've tried 2 ways already. I tried the following 2 methods.
METHOD 1:
[w/{w^2+8w+16}] + [4/{w^2+12w+32}]
[w/(w+4)(w+4)]+[4/(w+4)(w+8)]
[w(w+8)/(w+4)(w+4)(w+8)]+[4(w+4)/(w+4)(w+8)(w+4)]
{(w^2+8w)/(w+4)(w+4)(w+8)} + [(4w+16)/(w+4)(w+4)(w+8)]
[{(w^2+12w+16)/((w+4)(w+4)(w+8)}]
But I couldn't go any further after I added the two.
METHOD 2:
Exact same but I took out one of the extra (w+4). Yet at end still had trouble.
I hope I submitted this the right way in connection with the carrot symols and the squares. And thank you in advance for your time on this problem.

Click here to see answer by jsmallt9(3296) About Me 

Question 633647: (2/3x+3/4)+(4/3x-1/2)
Click here to see answer by Maths68(1474) About Me 

Question 633680: Solve 5x – 1 = 3x – 15. Explain each step, and include the Properties of Equality that you used.
Click here to see answer by IFY(62) About Me 

Question 633681: Explain how you can verify that “3(2x + 5) = 9 + 3x” and “x = –2” are equivalent equations
Click here to see answer by Maths68(1474) About Me 

Question 633776: what is the degree of 4x^6 - 2x^3 +x -3 +x^3 ?
a.4
b.3
c.5
d.6

Click here to see answer by stanbon(57967) About Me 

Question 633788: simplify -a^2b^-2 divided by a^-2b^2/a^4b^-2
a. -a^8b^3
b. -a^4b^3
c. -a^4b^-7
d. -a^8b^-7
can someone please help me with this

Click here to see answer by solver91311(17077) About Me 
Question 633788: simplify -a^2b^-2 divided by a^-2b^2/a^4b^-2
a. -a^8b^3
b. -a^4b^3
c. -a^4b^-7
d. -a^8b^-7
can someone please help me with this

Click here to see answer by ewatrrr(10682) About Me 

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