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

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

Question 312970: i need this problem factored x^2-3x-40
Click here to see answer by rfer(12730)

Question 312967: i need to factor this problem x^2-15x+36
Click here to see answer by Fombitz(13828)

Question 312967: i need to factor this problem x^2-15x+36
Click here to see answer by scott8148(6628)

Question 312842: I would like some help with this problem/x/
Click here to see answer by Fombitz(13828)

Question 312922: I am trying to figure out how to factor the difference of two cubes of
n^6 - 343= I know your look for Gcf but their isnt what would i do if their isn one??
Click here to see answer by Earlsdon(6294)

Question 312995: 2. Determine the leading term, leading coefficient, and the degree of the polynomial. t - 2t2 + 6t3 + 1
Click here to see answer by Edwin McCravy(8999)

Question 313003: x(3x-1)+(x-2)(x+2)
Click here to see answer by mananth(12270)

Question 313015: (x^2+5x-24)/(x^2-64)
Click here to see answer by stanbon(57967)

Question 313018: (x-5)over (x+7) equals (x+4)over (x+6)
Click here to see answer by mananth(12270)

Question 313005: Find a polynomial for the sum of the shaded areas of the figure.
r 8 3
Click here to see answer by Alan3354(31518)

Question 313017: (3x-7) over (x^2-9) minus (x-1)over (x^2-9)
Click here to see answer by mananth(12270)

Question 313031: Factor

Factor
Click here to see answer by solver91311(17077)

Question 313138: Factor 4x(x - 3)minus 5(3 - x)
Click here to see answer by texttutoring(324)

Question 313142: factor
s^2+3s+6s+18
Click here to see answer by texttutoring(324)

Question 313145: (4x^2-16)/(2x+4)
Click here to see answer by Fombitz(13828)

Question 313123: Hi,I need some help with this problem,/x/
Click here to see answer by Fombitz(13828)

Question 313167: The new laser printer can print a 100 page report in 3 minutes.
The old dot matrix printer can print 100 pages in 9 minutes.
If the two printers worked together, how long would it take to print the 100 page report?
Rate of laser: 1/3 Rate of dot matrix: 1/9 The equation is: x/3+x/9=1

and three other ways to solve this problem what are the steps?
Click here to see answer by solver91311(17077)

Question 313250: tell whether the polynomial is factored compleatly
Click here to see answer by OmniMaestra(21)

Question 313193: Write a quadratic equation having the given numbers as solutions.
3/5 , -9
Is this correct? x=3/5 or x=-9
5x=3 or x+9=0
5x-3=0 or x+9=0

Quadratic equation is:
(5x-3)(x+9)=0
5x^2+45x-3x-27=0
5x^2+42x-27=0
Or do I set
x^2=3/5 and x=-9
then put it into the quadratic formula ax^2+bx+c=0?
Click here to see answer by Alan3354(31518)

Question 313249: factor the polynomial compleatly 30x^3+22x^2+4x
Click here to see answer by scott8148(6628)

Question 313265: Find the zeros of the polynomial function and state the multiplicity of each
f(x) = x2(x + 3)2(x – 1)5
g(x) = 2(x2 – 4x +4)3
Click here to see answer by Fombitz(13828)

Question 313340: 12b²-8b=0
Click here to see answer by mananth(12270)

Question 313467: Find the area of a room that has a width of (x+3) and a length of (2x-5). (2.0 points)
A) a. 3x-2
B) b. 3x+8
C) c.
D) d.
2.
Find the perimeter of a room with a length of (2x-3) and a width of (x+7). (2.0 points)
A) a. 3x+4
B) b. 6x+8
C) c.
D) d.
3.
A type of division of polynomials which can be done without the use of variables is called __?__ (2.0 points)
A) a. long division
B) b. factoring
C) c. synthetic division
D) d. rational expressions
4.
What is the degree of the polynomial below?
(2.0 points)
A) a. 0
B) b. 1
C) c. 2
D) d. 3
5.
What is one of the factors of the polynomial below?
(2.0 points)
A) a. (x-y)
B) b.
C) c.
D) d. The polynomial is prime and cannot be factored
6.
The following problem was factored by grouping. What mistake was made in the problem?
(2.0 points)
A) a. The problem cannot be factored into 2 groups of 2 factors.
B) b. The common factor of is not .
C) c. The factor in the last step cannot be combined together as a factor.
D) d. The x-3 factor in the last step should not be squared.
7.
Solve the quadratic equation
y2 - 15 = 0
A) mathml equation
B) mathml equation
C) mathml equation
D) mathml equation
8.
Solve the quadratic equation
x 2 - 6x + 9 = 0
A) 3
B) -3
C) -3 and 3
D) 4.5
9.
Add:
(6x - 4) + (2x + 1)
10.
Subtract:
(5x2 - 2x + 3) - (4x2 + 6x - 8)
A) mathml equation
B) mathml equation
C) mathml equation
D) mathml equation
11.
Multiply:
5x3y2 (3x2 - 4y). Write your answer using ^ for exponents.
12.
Multiply:
(5x + 10y) (x - 2y). Write your answer using ^ for exponents.
13.
Multiply:
(3x - 2y) (4x2 - 2x + 2). Write your answer using ^ for exponents.
14.
Divide:
15.
Divide:

16.
Divide:
State the remainder.
17.
Solve:
y2 - 6 = y
Please show your work.
A) 3
B) -2
C) -3
D) 2
18.
Solve:
3x2 - 11x + 6 = 0
A) -2/3
B) 2/3
C) 3
D) -3
19.
Factor completely:
(x2 - 9x + 20)
A) (x-4)(x-5)
B) (x-4)(x+5)
C) (x+4)(x-5)
D) (x+4)(x+5)
20.
Factor completely:
(3y3 + 15y2 + 12y)
21.
Factor completely:
40y4 - 5y.
22.
Solve:
3x2 - 11x + 6 = 0
Which of these is not a factor of the polynomial above?
A) 3x-2
B) x-3
C) x+3
D) 3x+2

Click here to see answer by nyc_function(2733)

Question 313560: Factor c^2 + 8c + 12
Click here to see answer by unlockmath(1614)

Question 313555: Factor y^2 + 5y - 36
Click here to see answer by Fombitz(13828)

Question 313559: Factor 12b^3 - 58b^2 + 56b
Click here to see answer by tutorcecilia(2152)

Question 313557: Factor n^4 - 2n^3 - 3n^2
Click here to see answer by nerdybill(7003)

Question 313556: Factor 12a^2b + 3ab^2
Click here to see answer by rapaljer(4667)

Question 313670: Factor (x + 1)( x - 5) = 16
Click here to see answer by texttutoring(324)

Question 313670: Factor (x + 1)( x - 5) = 16
Click here to see answer by Fombitz(13828)

Question 313668: Factor 3a^2 - 15a - 42
Click here to see answer by texttutoring(324)

Question 313675: 7/X+4=?/X^3+64.... i out that the answer was 7(4X+16) but i cant figure out why it is a 4X and the answer wasnt 7(x^3+64)
Click here to see answer by rapaljer(4667)

Question 313511: i need help on how to solve the following by solving the square:
3x^2-2x=1=5
Click here to see answer by ankor@dixie-net.com(15746)

Question 313676: bill leaves nightclub at 60mph. sue leaves 1 minute later at 90mph. how many minutes before they meet?
Click here to see answer by checkley77(12569)

Question 313709: My question is to factor completely the following equation:
6x^2-7x-2
I have come up with (6x-2)(x+1), but that doesn't work and then I thought it might be (-3x+2)(-2x+1), but that doesn't work either.
Is it possible that the equation cannot be factor?
Click here to see answer by stanbon(57967)

Question 313704:
Click here to see answer by r_mr(1)

Question 313731: 16y^5 - 24y^4 - 40y^3
I'm stuck...this is what I came up with:
4y^5 - 6y^4 - 10y^3
Should I be breaking it down again?
Click here to see answer by rapaljer(4667)

Question 313702: Describe, complete, extend analyze, generalize, and create a wide variety of patterns, including iterative, recursive (e.g., Fibonacci Numbers), linear, quadratic and exponential functional relationships.
Click here to see answer by rapaljer(4667)

Question 313823: solve the equation by factoring:
2x2+x-15=0
Click here to see answer by nerdybill(7003)

Question 313821: Please help me solve the following equation:
4/x+2 - 6/x-2 = 6/x2-4
Click here to see answer by ankor@dixie-net.com(15746)

Question 313881: factorise 21xsquared -20x-1

Click here to see answer by rapaljer(4667)

Question 314079: Factor completely 8t^2 + 18t + 9=
Click here to see answer by rapaljer(4667)

Question 314076: Can u factor the given polynomial?
12x^2-x-1
Click here to see answer by Fombitz(13828)

Question 314125: -11x^2-9xy+y^2 and 16x^2+4xy-10y^2
Click here to see answer by Fombitz(13828)

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