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

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Question 144499: the square root of 300 minus the square root of 12 minus the square root of 3
Click here to see answer by ankor@dixie-net.com(15747)

Question 144499: the square root of 300 minus the square root of 12 minus the square root of 3
Click here to see answer by vleith(2825)

Question 144516: give an example of this (a + b)2 ¹ a2 + b2
Click here to see answer by Alan3354(31538)

Question 144569: x/5=7/3
Click here to see answer by jim_thompson5910(28717)

Question 144514: give an example of this (a + b)2 ¹ a2 + b2
Click here to see answer by Alan3354(31538)

Question 144612: A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.

Click here to see answer by ankor@dixie-net.com(15747)

Question 144611: An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork.

Click here to see answer by ankor@dixie-net.com(15747)

Question 144613: Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest at different rates?

Click here to see answer by ankor@dixie-net.com(15747)

Question 144622: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?

Click here to see answer by ankor@dixie-net.com(15747)

Question 144621: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

Click here to see answer by stanbon(57984)

Question 144619: Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest at different rates?

Click here to see answer by checkley77(12569)

Question 144668: ( 48 ÷ 4 ) + ( 9 * 7 ) - 13
Click here to see answer by tutorcecilia(2152)

Question 144702: c)T F The polynomial x^2 - 7x + 5 has a degree of two.
Click here to see answer by jim_thompson5910(28717)

Question 144708: I need help with this homework problem:
t+22/t square-t-72 + 8/t-9 = 4/t+8
Thank you.
Click here to see answer by jim_thompson5910(28717)

Question 144712: I need some help on this homework question:
(y square + 6y + 4)/(y-8)
Thank you!
Click here to see answer by jim_thompson5910(28717)

Question 144725: Hi. I really need help with the factoring trinomial problem 1/2x(x+20)=78. I've tried to answer it but I can't find the right factors for the numbers. This is as far as I got,
1/2x(x+20)=78
1/2x(squared)+10x=78
1/2x(squared)+10x-78=0
Now, I'm not sure if before you subtract 78 you're supposed to divide by 1/2. So, I tried doing that and got,
x(squared)+10=156
x(squared)+10-156=0
After that I can't get the factors right. Please help.
Thank you!
Click here to see answer by faceoff57(82)

Question 144741: Multiply the complex numbers.

(5 + 2i)(2 - i)

Click here to see answer by jim_thompson5910(28717)

Question 144746: For the polynomial below, find F(-2).
F(X)= -4x(exponent)2+3x-1
Click here to see answer by vleith(2825)

Question 144845: Please help solve the following homework problem:
4/x-5=6/8x+2
I get -9/13, but am not sure if that is the answer.
Click here to see answer by shahid(44)

Question 144873: (18x^2y^3+12x^4y^2-15xy^4)/3x^2y
Please expand and simplify the above expression.
Thank you.
Click here to see answer by Alan3354(31538)

Question 144889: Factor the polynomial expression. If necessary, use the caret (^) to enter exponents.
6x2 + 35x - 6
Click here to see answer by stanbon(57984)

Question 144928: Use synthetic division to solve:
(3a^3-15a^2-10a-48)/(a-6)
Click here to see answer by stanbon(57984)

Question 144935: 3x-4 for x=-3
Click here to see answer by checkley77(12569)

Question 144940: (-3x+7)-(5x-6)
Click here to see answer by shortii_31(1)

Question 144973: For the polynomial below, find F(4).
F(x) = 2x^3 - x^2 - 4x + 9
Click here to see answer by jim_thompson5910(28717)

Question 144979: Which term prevents the following expression from being considered polynomial?
F(x)= 1/√2 x^4-1/√5 x^3-7x^-2+1.4x+21

A. -7x-2
B. 1/√2 x^4
C. -1/√5 x^3
D. 1.4x
E. 21

Click here to see answer by jim_thompson5910(28717)

Question 144983: What kind of polynomial is the one shown below? Hint: Think in terms of degree.
f(x)=15x^4-2.5x^3+3/5x^2+3x+1
Click here to see answer by vleith(2825)

Question 144976: Homework help:
I believe I got the correct answer, but wanted to be sure I was correct:
Simplify:
x cube+64/x square-16 / x square+3x-4/x square-5x+4
My answer is x square-4x+16/x+4
Subtract and Simplify:
5a square/a-b - 5b square+10ab/b-a
My answer is 5(a+b)square/a-b
Am I correct?
Click here to see answer by stanbon(57984)

Question 144987: In the polynomial below, what is the leading coefficient?
F(x)=1/4x^5+8x-5x^4-19
A. 8
B. 1/4
C. -19
D. -5
E. 2

Click here to see answer by stanbon(57984)

Question 144991: The polynomial (x - 2) is a factor of the polynomial F(x) = 3x^2 - 8x + 2.
True or false
Click here to see answer by jim_thompson5910(28717)

Question 144995: Factor the polynomial.
x^2 - 3x - 40
Click here to see answer by stanbon(57984)

Question 144995: Factor the polynomial.
x^2 - 3x - 40
Click here to see answer by shahid(44)

Question 145003: What is the value of the discriminant of the polynomial below?
4x^2 + 7x + 4
Click here to see answer by solver91311(17077)

Question 145003: What is the value of the discriminant of the polynomial below?
4x^2 + 7x + 4
Click here to see answer by jim_thompson5910(28717)

Question 144942: how do you solve this?

Click here to see answer by solver91311(17077)

Question 145030: What is the value of the discriminant of the polynomial below?
4x^2 + 7x + 4
Click here to see answer by jim_thompson5910(28717)

Question 145130: Divide
(x6-8x^3+12)/(x^3-2)=

Click here to see answer by Earlsdon(6294)

Question 145131: Divide and Simplify
w^2/w^17
(Type an exponent notation using positive exponents)
Click here to see answer by Earlsdon(6294)

Question 145150: WHAT IS THE SCIENTIFIC NOTATION OF $10.7 MILLION AND $130,000
Click here to see answer by nerdybill(7011)

Question 145140: 24x^4y^2/3x^8y^2
Click here to see answer by nerdybill(7011)

Question 145201: The polynomial function f (x) = 0.001 x 3 - 0.13 x 2 + 6 x + 14 models the path of a portion of the track of a roller coaster. Find the height of the track for x = 30.
Choose the answer from the following.
338
104
5437.1
117
Click here to see answer by nerdybill(7011)

Question 145202: Choose the polynominal that represents the area of the rectangle with sides (x + 6) and (x - 2):
x 2 - 4x - 12
x 2 + 8x - 12
x 2 + 8x + 12
x 2 - 8x - 12
x 2 - 8x + 12
x 2 - 4x + 12
x 2 + 4x + 12
x 2 + 4x - 12

Click here to see answer by jim_thompson5910(28717)

Question 145203: Simplify the expression:
( 4 x + 1 ) 2 + (2 x - 4 ) 2
Choose the correct answer from the following:
20x 2 - 8x + 17
12x 2 - 8x + 15
4x 2 + 8x - 15
Click here to see answer by jim_thompson5910(28717)

Question 145204: a+2b/4-a-2b/4
Click here to see answer by jim_thompson5910(28717)

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