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

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Question 598315: I need help factoring out this problem20x%5E3%2B16x%5E2%2B25x%2B20=0
I did it in two group
(20x^3+16x^2) (25x+20)=0
4x^2(5x+4) 5(5x+4)=0
(5x+4) (4x^2+5)=0
5x+4=0
5x+4-4=0-4
5x=-4
divide x= -4/5
I could not factor out (4x^2+5)=0

Click here to see answer by jim_thompson5910(28593) About Me 
Question 598315: I need help factoring out this problem20x%5E3%2B16x%5E2%2B25x%2B20=0
I did it in two group
(20x^3+16x^2) (25x+20)=0
4x^2(5x+4) 5(5x+4)=0
(5x+4) (4x^2+5)=0
5x+4=0
5x+4-4=0-4
5x=-4
divide x= -4/5
I could not factor out (4x^2+5)=0

Click here to see answer by Alan3354(30993) About Me 

Question 598398: Find the real values of z for which the given expression is undefined 2z/2z^2+z
Click here to see answer by stanbon(57308) About Me 

Question 598394: √3X+15=x+3
√3X+15^2=(x+3)^2
3x+15=(x+3)^2
3x+15=x^2+6x+9
-15 -15
3x=x^2+6x-6
-3x -3x
0=x^2+3x-6
having trouble factoring x^2+3x-6
thanks so much

Click here to see answer by edjones(7569) About Me 

Question 598048: please help me solve this equation using the means and extremes. factor this. +8x%5E2%2B13x-6+
Click here to see answer by KMST(1868) About Me 
Question 598048: please help me solve this equation using the means and extremes. factor this. +8x%5E2%2B13x-6+
Click here to see answer by Alan3354(30993) About Me 

Question 598581: I need to find the numerical value of the division problem of 3x squared + x -4 divided by 2x squared + 3x -4 when the value of x is -3. I got 31 over 34.
Click here to see answer by math-vortex(472) About Me 

Question 598397: √3X+15=x+3
√3X+15^2=(x+3)^2
3x+15=(x+3)^2
3x+15=x^2+6x+9
-15 -15
3x=x^2+6x-6
-3x -3x
0=x^2+3x-6
having trouble factoring x^2+3x-6
thanks so much

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 598686: Please check my answer:
Short Answer. Find the following product: 7z(-7z^3 + 4z^2 - 9)
-49z^4 + 17z^3 - 63z

Click here to see answer by Alan3354(30993) About Me 
Question 598686: Please check my answer:
Short Answer. Find the following product: 7z(-7z^3 + 4z^2 - 9)
-49z^4 + 17z^3 - 63z

Click here to see answer by stanbon(57308) About Me 

Question 598687: Please check my answer:
Short Answer. Find the following product: (x + 9)^2
x^2 + 81

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 598691: Please check my work:
1. Essay: Show all work. Find the following product: (y - 7)^2
=(y * y) + (-7 * -7)
= y^2 + 49
2. Short Answer. Find the following product: (y^2 - 7y + 4)(4 + 1)
y^3 - 6
3. Short Answer. Find the following quotient:
x^2 - 16
________
x + 4
x-4

Click here to see answer by math-vortex(472) About Me 

Question 598693: Help Please
1. Essay: Show all work. Find the following quotient:
64x^2 – 100 y^2
_______________
8x + 10y
2. Short Answer. The length of the side of a rectangular desk is given by 2x - 6y cm. The length of the front is given by 2x + 6y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 598838: x^2-324
Click here to see answer by Alan3354(30993) About Me 

Question 598949: (8^2)^-5 how do I simplify this?
Click here to see answer by Alan3354(30993) About Me 

Question 598942: Use polynomial long division to divide
-5x^2 – 3x – 2}}} by -5x^2 – 3x – 2
show all work please.

Click here to see answer by KMST(1868) About Me 

Question 598965: Can anyone help me with this problem? Thanks so much!
Subtract
(0.04x^3 -0.04x2 + 0.04x) - (0.03x^3 + 0.09x^2 -2)

Click here to see answer by stanbon(57308) About Me 

Question 598991: I dont understand what I am doing wrong, as I am off by a number or a value, or my factors are backwards, which I didn't think really mattered. UGH ! ! ! I refer to myself as a "MATH IDIOT" and am in need of a response from someone who can explain each step as they go, as just providing me with shortcuts and an answer is not going to help me on my upcoming final. This is my last class before applying to the RN program, and I desperately need to understand what it is that I am doing wrong. I have watched many YouTube videos, referenced "Algebra for Idiots" and "Algebra for Dummies" and the "Humongous Book of Algebra Problems Solved" and I am such a math illiterate, that I just don't see where my mistake is :) Thank you for your response :) I am getting 1/2 of the answer correct, while the other part of the equation is supposed to be an (m-a number) or (m+a number) and instead I am writing the second number, as a number, and the sum of two terms to make that number. Again, thank you so much for your help.
4m^2-18m+14
15m^3+24m^2+9m
15m^2-10m-25
50m^3-2m
3m^2-10m+8
60m^3+54m^2-6m

Click here to see answer by Alan3354(30993) About Me 

Question 598986: I am only getting half of the equation right. I am not sure how the answer is coming up as an "m+1+ or "m-1" I am a complete math idiot, so I really need someone who can show me step by step, not just give me an answer, as this is my last class before applying to the nursing program, and I need to understand this for the final, not just be able to rely on finding the answer. I am literally the "ULTIMATE MATH RETARD" you will ever encounter. Thank you so much, in advance :)
4m^2-18m+14
15m^3+24m^2+9m
15m^2-10m-25
50m^3-2m
3m^2-10m+8
60m^3+54m^2-6m

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 599084: Factor the expression: 6x2 + 14x + 4 can you please show me how to find the answer step by step?

Click here to see answer by flame8855(424) About Me 

Question 599078: Could someone please help me figure out this problem. Thank you so very much!
Factor the trinomial
r^2+7r+6

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Question 598943: Please help me solve these equations. It is multiplying polynomials.
#1. 4y(-y^3-2y-1)

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 599099: Find the product: (x + 2)(x - 2)
i dont know if i got it rigth but this is how i did it.
(x + 2) (x - 2) = x(x - 2) + 2(x - 3)
x^2 - 2x + 2x - 6
x^2 - 4x - 6 -------- my final answer

Click here to see answer by flame8855(424) About Me 

Question 599103: How can i work out this problem I'm having trouble figuring it out?
The revenue of a charter bus company depends on the number of unsold seats. If the revenue in dollars, R(x), is given by
R(x)=x^2+50x+5000.
Where x is the number of unsold seats, find the number of unsold seats that produce maximum revenue. What is the maximum revenue?

Click here to see answer by flame8855(424) About Me 

Question 599113: Can someone help me with this problem? The polynomial 0.041h-0.018a-0.269 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a in years. Find the lung capacity of a 20-year-old woman who is 160 centimeters tall.
Her lung capacity is approxiately [ ]liters
(Round to the nearest hundredth)

Click here to see answer by jim_thompson5910(28593) About Me 

Question 599123: Does anyone know how to do this type of problem? I am stuck, and would appreciate any help. Thanks!
Factor
s^6-729

Click here to see answer by jim_thompson5910(28593) About Me 

Question 599163: Can anyone help me with this problem? Thanks!
Factor.Check by multiplying
x^2-5x

Click here to see answer by jim_thompson5910(28593) About Me 

Question 599202: How do you do collect like terms in this problem? Thanks for your help!
Collect like terms.
3x-8x

Click here to see answer by rfer(12657) About Me 

Question 599301: How do I Simplify the following expression; express in terms of i?
√-16

Click here to see answer by jim_thompson5910(28593) About Me 

Question 599275: I'm trying to factor this problem. So far I'm at x2-9-40. x2 means x to the second power.
Click here to see answer by Alan3354(30993) About Me 

Question 599317: Can I get a step-by-step on how to simplify the following?
√(-128) √(-16)

Click here to see answer by jim_thompson5910(28593) About Me 
Question 599317: Can I get a step-by-step on how to simplify the following?
√(-128) √(-16)

Click here to see answer by josmiceli(9671) About Me 

Question 599343: 3x^2 over 27x
Click here to see answer by jim_thompson5910(28593) About Me 

Question 599364: 21m^3 over m^2 - 4 divided by 7m^2 over m^2 plus 4m plus 4
Click here to see answer by stanbon(57308) About Me 

Question 599422: Find a polynomial function of degree 3 with -1,3,4 as zeros.
Click here to see answer by nerdybill(6958) About Me 

Question 599446: how do you do this factoring problem?
5y(y+3)-2(y+3)

Click here to see answer by nerdybill(6958) About Me 

Question 599481: the height in feet reached by a batted baeball after t seconds is given by h(t)=-16t^(2)+66t+2, determine when the baseball is 70ft in the air
Click here to see answer by nerdybill(6958) About Me 

Question 599527: Simplify. write your answers in the form of a+bi, where a and b are real numbers
(7-(-36i)(2+(-100i)
the -36 and -100 is in the inf

Click here to see answer by stanbon(57308) About Me 

Question 599545: A rectangle has a length of x+3 and a width of x-3, and has an area of 40 square units. find the length and width of the rectangle
Click here to see answer by w_parminder(53) About Me 

Question 599556: Solve the equation by a method of your choice: 6x2 + 5x + 1 = 0
If there are two solutions, separate the solutions by a comma.
my aswer was (3x + 1)(2x + 1) = 0 and i got it wrong, did i forget to put something or is the answer wrong?

Click here to see answer by Alan3354(30993) About Me 

Question 599558: Solve the equation by a method of your choice: x2 - 6x + 5 = 0
If there are two solutions, separate the solutions by a comma.
my answer for this was (5, 1), i got it wrong did i forget to write something in or is the answer wrong, what would be the right answer?

Click here to see answer by Alan3354(30993) About Me 

Question 599599: Solve the equation by a method of your choice: x2 - 2x - 3 = 0
If there are two solutions, separate the solutions by a comma. This is what i get but i got it wrong (X + -1), (X + 3). whats the right answer?

Click here to see answer by nerdybill(6958) About Me 

Question 599597: Solve the equation by a method of your choice: x2 +5x + 6 = 0
If there are two solutions, separate the solutions by a comma.

Click here to see answer by nerdybill(6958) About Me 

Question 599596: Solve the equation by a method of your choice: x2 + 3x - 4 = 0
If there are two solutions, separate the solutions by a comma.

Click here to see answer by nerdybill(6958) About Me 

Question 599613: how many liters of 40% alcohol solution must be mixed with 20 liters of a 90% solution to get a 60% solution?
Click here to see answer by unlockmath(1599) 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, 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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