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

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

Question 74119: Please show me how to factoring by grouping. Thanks!
r^2-9tw+3rw-3rt ?
Click here to see answer by rmromero(383)

Question 74056: GCF
-3x^4 and 6x^3
Click here to see answer by rmromero(383)

Question 74118: HELP!! I have been doing this for twenty-five minutes please help?
(6*10^2)(3.2*10^2)
over
(1.6*10^7)(3*10^2)
Click here to see answer by Cintchr(481)

Question 74047: Find the slope of the line
y= 4x
Click here to see answer by rmromero(383)

Question 74050: Find the slope of the line
4x + y = -9
Click here to see answer by checkley75(3666)

Question 74061: Factor using Greatest common binomial factor
x(y +9) -11 (y+9)
Click here to see answer by jim_thompson5910(28715)

Question 74060: GCF
18x^5y^4, 6x^6y^3, and 12x^4y^5
Click here to see answer by funmath(2925)

Question 74123: I need help figuring this out!!
The U.S. population in 1990 was approximately 250 million, and the average growt rate for the past 30 years gives a doubling time of 66 years.
What will the population of the United States be in 2025 if this
growth rate continues?
Click here to see answer by jim_thompson5910(28715)

Question 74070: x^5 + y^5
---------- = x4 + y4
x + y
Click here to see answer by cathieb1225(41)

Question 74058: GCF = -5y
10y^5, 20y^2 and -5y
Click here to see answer by cathieb1225(41)

Question 74038: SOLVE THE INEQUALITY 21 OVER 15-3x <0, AND EXPRESS THE SOLUTION AS AN INTERVAL.
Click here to see answer by cathieb1225(41)

Question 74148: we are supposed to try and find the slant asemptotes for this problem. i dont understand how to do that becasue it wont work out. here is the problem.
X3-1
------
x2
Click here to see answer by funmath(2925)

Question 74048: how can i add to understand
5b^3-8b+2b^2 and 3b^2-7b^3+5b
Click here to see answer by funmath(2925)

Question 74149: How do I resolve this?
The U.S. population in 1990 was approximately 250 million, and the average growth
rate for the past 30 years gives a doubling time of 66 years. The above formula for the
United States then becomes
P (in millions) = 250 * 2( y-1990)/66
What will the population of the United States be in 2025 if this
growth rate continues?
Click here to see answer by jim_thompson5910(28715)

Question 74036: EXPRESS AS A POLYNOMIAL: (x+a)[x^2-ax OVER x]
Click here to see answer by jim_thompson5910(28715)

Question 74170: I have not got it
8x^3-6x^2+2x
over
4x+1
Click here to see answer by bucky(2189)

Question 74175: if x represents the number so the square of 5 more than a number
would it be
x*x*x*x*x^5
Click here to see answer by uma(370)

Question 74176: how do i find the product?
a(a+5)(a-5)
Click here to see answer by uma(370)

Question 73678: I am trying to find all real and imaginary zeros for the equations: (9x^3+9x^2-19x-7) & (7x^3+5x^2+26x-8) I am more interested in finding how to solve then the solutions themselves. I can find no factors to divide into the equations! I am usually very good at these but was given these in class and can't find out how to solve them?! VERY Frustrating! Thanx
Click here to see answer by jim_thompson5910(28715)

Question 74185: Solve by factoring 6x^2 + 10x + 4 =0
Click here to see answer by Earlsdon(6294)

Question 74172: how do i express the area as a polynomial?
A square has sides of length 3x-2cm.
Click here to see answer by rmromero(383)

Question 74195: 10y^4 + 15y^6
Click here to see answer by bucky(2189)

Question 74228: Factor Completely:
x^7y^2 - 4x^5y^2 - 21x^3y^2
my answer: x^3y^2(x^4 - 4x^2 - 21)
I have already attempted to work this problem, but am not sure my answer is right. Could someone please help me?
Milliron
Click here to see answer by jim_thompson5910(28715)

Question 74231: Factor completely:
x^2 - 7x - 8
My answer: prime (no common factors)
I am not sure this is correct, I am just now learning the factoring process, could someone please check my answer and possibly help?
Milliron
Click here to see answer by jim_thompson5910(28715)

Question 74184: Solve by factoring -5x^2 + 22x - 8 =0
Click here to see answer by checkley75(3666)

Question 74230: Factor Completely:
x^3 - 2x^2 - 4x - 8
My answer: 2(-2x^3 - x^2 - 2x - 2^2)
I am just learning the factoring process, so am not real sure of my answers. I have already attempted to work this problem, but not sure my answer is correct. could someone please review and assist me?
Milliron
Click here to see answer by rmromero(383)

Question 74194: factor by grouping
10x^2- 12xy + 35xy- 42 y^2
Click here to see answer by rmromero(383)

Question 74241: y^2-36/y+3*y-4/y^2+2y-24
Click here to see answer by stanbon(57967)

Question 74241: y^2-36/y+3*y-4/y^2+2y-24
Click here to see answer by rmromero(383)

Question 74240: y^2-36/y+3*y-4/y^2+2y-24
Click here to see answer by rmromero(383)

Question 74188: Factor completely: (x+3y)^2-(2x+5y)^2
Click here to see answer by rmromero(383)

Question 74256: State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)=9x^3-7x^2+10x-4.
I am getting very confused by finding the zeros of an equation. My book does not explain things clearly and the one example they give doesn't apply to the problems on the practice worksheet. Can you please help me with this and explain in detail? I really need something to work from. Thank you in advance!

Click here to see answer by rmromero(383)

Question 74257: I just asked a question about finding the zeros of an equation. Can someone please help me with this question too?
List all of the possible rational zeros of f(x)=3x^5-7x^3+2x-15.
Please help me! My book is no help!
Click here to see answer by rmromero(383)

Question 74273: can someone help me please!
(6*10^12)(3.2*10^8)
over
(1.6*10^7)(3*10^2)
Click here to see answer by bucky(2189)

Question 74278: can you check my answer?
7x^2+6x from 9x^2-3
9x^2-3
7x^2-6
=2x^2-3
9x^2-3
7x^2+6
=2x^--3

Click here to see answer by Cintchr(481)

Question 74278: can you check my answer?
7x^2+6x from 9x^2-3
9x^2-3
7x^2-6
=2x^2-3
9x^2-3
7x^2+6
=2x^--3

Click here to see answer by stanbon(57967)

Question 74296: My homework question is to choose the best answer. help! thanks
4x^2-4xy-3y^2
Click here to see answer by funmath(2925)

Question 74295: My homework question is to choose the best answer. help! thanks.
dk-3d+8k-24
A. (d-3)(K+8) B. (d+8)(k-3)
c. (d+3)(k-8) D. (4x+y)(x-3y)
Click here to see answer by funmath(2925)

Question 74309: Factor completely. Remember that you can check bymultiplying. If a polynomial is prime state this.
1. x^2+6x+5
2. x^2+7x+10
3. y^2+11y+28
4. a^2-11a+30
5. x^2+5x+4
6. z^2-8z+7
7. x^2-8x+15
8. y^2-11y+10
9. x^2+x-42
Click here to see answer by funmath(2925)

Question 74307: Factor completely. Remember that you can check by multiplying. If a polynomial is prime state this.
x^2+7x+6
Click here to see answer by funmath(2925)

Question 74271: I did the problem but it seems to be missing the -3 what did I do wrong?
x=-3
x=-2
-x^2-5x-6
2(2)^2-5(-2)+1
2(6)-5(-2)+1
=12-5-(-2)+1
=12-5--1
=8
Click here to see answer by jim_thompson5910(28715)

Question 74320: choose the best answer? thanks!

X^2+12x-3
A.) (X+3)(X-1) B.) (X-3)(X+1)
C.) (X+3)(x+9) D.) prime
Click here to see answer by jim_thompson5910(28715)

Question 74321: Choose best answer. thanks!
36y^2-25
A.) (6y+5)(6y-5) B.) (x-3)(x+1)
C.) (x+3)(x+9) d.) prime

Click here to see answer by checkley75(3666)

Question 74321: Choose best answer. thanks!
36y^2-25
A.) (6y+5)(6y-5) B.) (x-3)(x+1)
C.) (x+3)(x+9) d.) prime

Click here to see answer by jim_thompson5910(28715)

Question 74274: I can not add using the vertical method help!
5x^2+2x-4,x^2-2x-3 and 2x^2-4x-3
Click here to see answer by checkley75(3666)

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