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

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

Question 160488: I am having a little trouble with this one. Multiply and simplify. Assume all numbers under the radical are positive.

Click here to see answer by checkley77(12569)

Question 160487: Could someone show me how to simplify by removing factors of 1.

Click here to see answer by checkley77(12569)

Question 160577: 98.) Height difference. A red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is feet. The green ball is given an initial velocity of 80 feet per second, and its height t seconds after it is tosses is feet.
a.) Find the polynomial D(t) that represents the difference in the height of the two balls.
b.) How much higher is the red ball 2 seconds after the balls are tossed?
c.) In reality, when does the difference in the heights stop increasing?

Click here to see answer by ankor@dixie-net.com(15746)

Question 160653: hi please help me solve 4x^2-9}}
Click here to see answer by nabla(475)

Question 160658: hello please help me factor
Click here to see answer by checkley77(12569)

Question 160749: I am trying to factor the following: -3t^2+23t+8 can you help me?
Click here to see answer by KnightOwlTutor(293)

Question 160750: I am trying to factor the following equation -0.08p^2+300p, can you help me?
Click here to see answer by vleith(2825)

Question 160849: 4(2+3(x+1))-1
Click here to see answer by jojo14344(1512)

Question 160914: write as a product of linear factors and list all zeros:
f(x)= 12^4 + 7x^3 - 22x^2 - 7x +10
Click here to see answer by stanbon(57966)

Question 160912: This is a very simple formula but I can not make it work with this problem - D=RT
The word problem is from a handout on Polynomils
"Jamie ran two laps around a track in 99s. How long did it take him to run each lap if he ran the first lap at 8.5m/s and the second at 8.0 m/s?"
my break down
D1=R1T1 1 lap=8.5m/sT but I don't know how many miles my lap is?
d2=R2T2 1 lap=8.0m/sT
I am stuck - thank you
Click here to see answer by stanbon(57966)

Question 160947: lydia takes ten minutes morwe to complete an illustration than tom. the total time taken by both of them is six hours. how much time did each of them require?
Click here to see answer by ptaylor(2052)

Question 160946: the area of a rectangle is 45 square cm. if the length is 4 cm. greater than the width, what are the dimensions of the rectangle?
Click here to see answer by nerdybill(7003)

Question 160944: a student averages 84 on five tests. if the student recieved grades of 84,82,81, and 79 on the first four exams,what grade did the student recieve on the fifth exam?
Click here to see answer by nerdybill(7003)

Question 160943: a man buys 5 DVDs for $66.34,including 7% sales tax. how much did each DVD cost??
Click here to see answer by Fombitz(13828)

Question 160942: the price of one brand of shoe is $5 more than another brand. if the prices of two pairs of shoes add to $230,how much does each pair cost?
Click here to see answer by Fombitz(13828)

Question 160963: -36a^2 b+21ab^2-3b^3
I need to know how to factor this out thank you
Click here to see answer by scott8148(6628)

Question 160994: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Write the rational exponent expression as an equivalent radical expression.
5x^-1/5
Click here to see answer by jim_thompson5910(28715)

Question 161000: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Factor completely.
216p^3 - 1
Click here to see answer by jim_thompson5910(28715)

Question 161002: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Use factoring to solve the equation.
r^2 + 12r + 36 = 14
Click here to see answer by sammie12(1)

Question 161023: Change the equation, x - y = 4 to form y = mx + b
Click here to see answer by KnightOwlTutor(293)

Question 161026: Tutor can u please help me solve this problem? the solution to the systems of equations y = 2x and y = -x + 3 is?
Click here to see answer by Fombitz(13828)

Question 161034: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Perform the indicated operation. Give the answer in lowest terms.
(2z^3/4) dot (16/z^2)
Click here to see answer by Fombitz(13828)

Question 161042: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Use the discriminant to determine the number of real solutions of the equation.
2y^2 = -6y - 8

1, 2 or no real solutions
Click here to see answer by Electrified_Levi(103)

Question 161032: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Evaluate the expression. Write answer without exponents.
2^-6
Click here to see answer by jim_thompson5910(28715)

Question 161147: can someone please help me with this problem:
Give the equation of the vertical asymptote(s) of the rational function.
g(x) = x-3/x^2 - 1
Click here to see answer by nerdybill(7003)

Question 161163: 3x+1/3x^3-5x^2-23x-7
Click here to see answer by KnightOwlTutor(293)

Question 161207: x^4-64
Click here to see answer by jojo14344(1512)

Question 161232: what percent of 65 is 13?
Click here to see answer by Specialk562(6)

Question 161251: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Use factoring to solve the equation.
r^2 + 12r + 36 = 14

Click here to see answer by KnightOwlTutor(293)

Question 161261: can someone please help me with this problem:
Simplify the expression. Write answer with positive exponents. Variables are positive real numbers.
(b^6)^7/6
Click here to see answer by jim_thompson5910(28715)

Question 161260: can someone please help;
Factor completely.
x^2 - 10x + 9
Click here to see answer by jim_thompson5910(28715)

Question 161265: A problem from a Rational and Radical worksheet asks me to simplify:
square root symbol [100x^2y^16z^8]
Click here to see answer by oscargut(900)

Question 161283: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Click here to see answer by vleith(2825)

Question 161291: Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2= 27,000.
Click here to see answer by checkley77(12569)

Question 161259: can someone please help
Use a calculator to solve the equation. Round to the nearest hundredth.
(2.85x - 2.52)/1.06 -(2.39x - 3.56)/1.01 = x
Click here to see answer by schrammbledeggs(41)

Question 161284: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest fieldand that the side of the largest fieldwas 3 kilometers longerthan the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?
Click here to see answer by ankor@dixie-net.com(15746)

Question 161257: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Use the discriminant to determine the number of real solutions of the equation.
7 + 5z^2 = 2z
Click here to see answer by Fombitz(13828)

Question 161254: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Simplify the expression.
^3 check sign (-1000)
Click here to see answer by Fombitz(13828)

Question 161256: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 16t^2 + 32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 175 feet?
Click here to see answer by nerdybill(7003)

Question 161351: Complete the square for 2x2 + 5x – 1 = 0
Click here to see answer by jim_thompson5910(28715)

Question 161379: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
Simplify the exponential expression.
x^9y^0
Click here to see answer by checkley77(12569)

Question 161373: CAN SOMEONE PLEASE HELP ME WITH THESE 3 PROBLEMS:
Find the product.
1. (9x-8)^2
2. (10 + 7x)^2
3. (x-4y)(5x-9y)

Click here to see answer by checkley77(12569)

Question 161258: can someone help"
Write the expression in lowest terms.
y^2 + 8y + 12 / y^2 + 9y + 14
Click here to see answer by checkley77(12569)

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