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

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Question 38627: Factor by grouping.
xa + 2bx - a - 2b

Chapter 1.5 pg. 306 problem 18. Remove Largest Common Factor
14x^y - 35xy - 63x

Click here to see answer by rapaljer(4671) About Me 

Question 38610:
Express the following compound fraction in lowest terms:

                     9r2s
                    ——————
                     7pq2
                  —————————
                    3r3s3
                   ———————
                     14q5

Click here to see answer by AnlytcPhil(1806) About Me 

Question 36633: Use the given rectangle to:
a) Write an expression for the area.
b) Represent the area as a polynomial.

Side one : 3x+2
Side two: 2x-1

Click here to see answer by Nate(3500) About Me 

Question 38671: Evaluate the following two expressions. Write your answer without exponents.
a) 27 -2/3 (it's just the 2 that is negative)
b) 9 -3/2 (the whole fraction is negative)

Click here to see answer by checkley71(8403) About Me 

Question 38682: 8x^2+47x+28 I cannot find a solution. I have tried (8x+4)(1x+7)etc. I just can't get any combination to equal 47.
Click here to see answer by AnlytcPhil(1806) About Me 

Question 38672: Subtract. Write the difference as a complex number in standard form.
(-2 -6i) - (6 - i)

Click here to see answer by jcmtnez(53) About Me 

Question 38737: John is 6 years older than his youngest brother Tim. The sum of squares of their ages is 218. How old are John and Tim?
Click here to see answer by Paul(988) About Me 

Question 38738: The number of calories K needed each day by a moderately active man who weights "w" kilograms, is "h" centimeters tall, and whose years of age is approximately given by the following formula:
K = 19.18w + 7h - 9.52a + 92.4
Marvin is 55 years old, moderately active, 185cm tall and weighs 97 kilograms. What are his daily caloric needs?

Click here to see answer by Nate(3500) About Me 

Question 38723: Find the value of "a" such that
y^2 - 18y + a
is a perfect square.

Click here to see answer by Nate(3500) About Me 

Question 38837: 5x-3/6 - x+3/6
I am coming up with the answer 2x/3 - am I doing this right?

Click here to see answer by checkley71(8403) About Me 

Question 38836: Please help with this!
(x/x-9) - 4 = (9/x-9)
Thank you!!

Click here to see answer by checkley71(8403) About Me 
Question 38836: Please help with this!
(x/x-9) - 4 = (9/x-9)
Thank you!!

Click here to see answer by Nate(3500) About Me 

Question 38841: Please help!
2/5 - y/y-2
Thanks!

Click here to see answer by checkley71(8403) About Me 

Question 38802: ((((((((Find a third degree polynomialwith real coefficients and with zeros 1 and 3+i.))))))))
Click here to see answer by Nate(3500) About Me 

Question 38735: Multiply and expand the following:
(5x - 7y)^2

Click here to see answer by checkley71(8403) About Me 

Question 38845: Please help me to simplify this problem:
7/10 divided by (-8/10)

Click here to see answer by checkley71(8403) About Me 

Question 38849:
I need help finding the LCM for:

2x² + 5x + 2, 2x² - x - 1

Click here to see answer by AnlytcPhil(1806) About Me 

Question 38855: Okay, I don't even know where to begin with this one...
Subtract
5/y-7 minus 1/y+1
Please help me !! LOL

Click here to see answer by fractalier(6550) About Me 

Question 38853:
Okay, I added, but am having trouble simplifiying...
could you please help me?
This is what I have so far...

   x²       3x - 70
———————— + —————————
 x + 10      x + 10

I got   

   x² + 3x - 70
  ——————————————
      x + 10

how do I simplify that?
Thank you in advance for your help.

Click here to see answer by fractalier(6550) About Me 
Question 38853:
Okay, I added, but am having trouble simplifiying...
could you please help me?
This is what I have so far...

   x²       3x - 70
———————— + —————————
 x + 10      x + 10

I got   

   x² + 3x - 70
  ——————————————
      x + 10

how do I simplify that?
Thank you in advance for your help.

Click here to see answer by AnlytcPhil(1806) About Me 

Question 38744: Please help!
Solve.
(x/x-9) - 4 = (9/x-9)
thanks

Click here to see answer by fractalier(6550) About Me 

Question 38880: factor completely with respect to the integers
2x^4-14x^2+24

Click here to see answer by Earlsdon(6294) About Me 

Question 38806: What are the factors of this expression
2x^4-5x^3-10x^2+15x+18

Click here to see answer by fractalier(6550) About Me 

Question 38925:
 
x³ + x - 2 = 0

Click here to see answer by fractalier(6550) About Me 
Question 38925:
 
x³ + x - 2 = 0

Click here to see answer by AnlytcPhil(1806) About Me 

Question 38804: (((((((Find the rationalroots of f. List any irrational roots correct to two decimal places f(x)=x^4-3x^3-4x^2=18x-12))))))))
Click here to see answer by fractalier(6550) About Me 

Question 38937: How many zeros are there in F%28X%29=X%5E3-4X%5E2%2B2X%2B1. Can you please show the work so i too can understand.
Thank you

Click here to see answer by fractalier(6550) About Me 

Question 38986: how do you factor the binomial 4x2-4x
Click here to see answer by checkley71(8403) About Me 

Question 38918: Sorry for the subject, but it is the nearest thing I can find.
I need to know the answer to the formula 3-i or 3%2Bi i+=+imaginary-number
I would be ver greatful if you could help me at all. I have tried to find out what imagenary numbers are, but I do not understand. If you could help.
Thank you very much
Luke

Click here to see answer by Nate(3500) About Me 

Question 38997: I need to find the speed on the side roads...I really am no good at word problems and need help...Thank you...
During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Fernando's rate on the side roads is 6 mi/h faster than his rate on the freeway, find his rate on the side roads.

Click here to see answer by Paul(988) About Me 
Question 38997: I need to find the speed on the side roads...I really am no good at word problems and need help...Thank you...
During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Fernando's rate on the side roads is 6 mi/h faster than his rate on the freeway, find his rate on the side roads.

Click here to see answer by checkley71(8403) About Me 

Question 38996: I am really NO GOOD at word problems...HELP!! :)
A 6-foot pole casts a shadow of 9 feet. How tall is a tree with a shadow of 3 feet?
Thanks

Click here to see answer by checkley71(8403) About Me 

Question 38995: SOlve for x
2 / x+1 plus 1 = 9 / x+1
Thank you for your help

Click here to see answer by fractalier(6550) About Me 

Question 38994: Find the value of x
x / 5 minus x / 6 = 2
Thank you for your help

Click here to see answer by fractalier(6550) About Me 

Question 39119: There are several problems in today's homework I can't get. I need to factor each differnence of two squares. Here's one: x2-4
Click here to see answer by fractalier(6550) About Me 

Question 39121: here's another:
Factor the difference of sqares in x2-a2

Click here to see answer by fractalier(6550) About Me 

Question 39122: here's another problem. I have one more after this one:
Factor the difference of sqares in 36y^2-25

Click here to see answer by fractalier(6550) About Me 

Question 39123: here's the last problem:
Factor the difference of sqares in 100x62-81y62

Click here to see answer by fractalier(6550) About Me 

Question 39135: ay + 3a + 2y + 6 / ay + 3a + 5y + 15
Click here to see answer by fractalier(6550) About Me 

Question 39149: im taking a algebra1 test on polynomials and one of the questions says to Find The Square - (2x-6)^2 , I Dont know how to do them...can you please help?
Click here to see answer by Nate(3500) About Me 

Question 39146: One more.
I am supposed to multiply and write as a polynomial in standard form: (2x+1)(x^3-x+2). I came up with 2x^4+1x^3-2x^2+3x+2. My question is how to put it into standard form?

Click here to see answer by Nate(3500) About Me 

Question 39155: it says to factor the polynomial, i dont know how to even start to do this problem, 24w^12+64w^8
Click here to see answer by fractalier(6550) About Me 

Question 39154: what does "x" equal?
(x+1)(x-3)=4

What does "x" equal?
x(x-2)= -6

Click here to see answer by Nate(3500) About Me 

Question 39157: I also need help with this problem, it says to Simplify the product using the distributive property.
(5h-5)(5h-6)

Click here to see answer by fractalier(6550) About Me 

Question 39161: solve for x: 14 to the x power = 22
Click here to see answer by fractalier(6550) 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, 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33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105