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

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Question 38545: The differnece between the squares of two consecutive positive odd intergers is 24. Find the intergers.
Click here to see answer by checkley71(8403) About Me 

Question 38546:
Multiply or Divide 
                  1-2/3z 
                  z-4/9z

Click here to see answer by AnlytcPhil(1277) About Me 

Question 38312: Simplify the following:
-2(x2-2xy+3y2)+(2x2-17y2)-3(y2-3xy+4x2)

Click here to see answer by KneesAndToes(13) About Me 

Question 38587: I do not understand.
x+2 over x over x-2 over 3x
(x+2/x) / (x-2)/3x
Please help!

Click here to see answer by fractalier(2101) About Me 

Question 38591: I previously asked this and no one answered. Please help!!
Add. Express answer in simplest form
4x/x^2-18x+72 + 4/x-6

Click here to see answer by fractalier(2101) About Me 
Question 38591: I previously asked this and no one answered. Please help!!
Add. Express answer in simplest form
4x/x^2-18x+72 + 4/x-6

Click here to see answer by rapaljer(4667) About Me 

Question 38590: What values for x must be excluded in the following fraction?
x-3/(4x-5)(x+1)

Click here to see answer by fractalier(2101) About Me 
Question 38590: What values for x must be excluded in the following fraction?
x-3/(4x-5)(x+1)

Click here to see answer by josmiceli(9697) About Me 

Question 38588: I cannot figure this out.
Divide.
x^2+2x-15/4x^2 divided by x^2-25/2x-10
I am coming up with x plus or minus three over 2x^2 or 2x^2 over x plus or minus three, depending on how I'm figuring and I don't know which is right.

Click here to see answer by rapaljer(4667) About Me 

Question 38117: Determine whether each expression is a polynomial. Write yes or no and explain your reasoning. The state the degree of each polynomial.

Click here to see answer by rapaljer(4667) About Me 

Question 38616: The ratio of yes votes to no votes in an election was 3 to 2. How many total votes were cast if there were 2124 yes votes cast?
Click here to see answer by rapaljer(4667) About Me 

Question 38618: OOPS...The last problem I submitted, 2/5w+10 - 3/2w-4
The correct answer is -11w-38/10(w+2)(w-2) Sorry!!
Please help!

Click here to see answer by rapaljer(4667) About Me 

Question 38613: Reduce the following expression to lowest terms:
x^2 - 9x + 14/5x^2 - 20

Click here to see answer by rapaljer(4667) About Me 

Question 38612: If the expression 4z + 1 over 4z - 6 is to make sense, the values that z can take must be restricted. State the restriction on z.
Click here to see answer by rapaljer(4667) About Me 

Question 38120: Add x/x-2 + 1-5x/x^2 -8x+12
Click here to see answer by rapaljer(4667) About Me 

Question 37751: 2x^2+11x-6/x+6
Click here to see answer by rapaljer(4667) About Me 

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(4667) About Me 

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

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

Click here to see answer by AnlytcPhil(1277) 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 38673: Perform the following complex number multiplication and write the answer in standard form:
(2 - i)(-6 + 6i)

Click here to see answer by AnlytcPhil(1277) 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 38670: Write without exponents:
64 2/3

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(1277) 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(1277) 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(2101) 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(2101) 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(1277) About Me 

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

Click here to see answer by fractalier(2101) About Me 

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

Click here to see answer by Earlsdon(6287) 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(2101) About Me 

Question 38925:
 
x³ + x - 2 = 0

Click here to see answer by fractalier(2101) About Me 
Question 38925:
 
x³ + x - 2 = 0

Click here to see answer by AnlytcPhil(1277) About Me 

Question 38803: ((((((Find all the real and complex zeros of the polynomial
f(x)=x^4-3x^3-4x^2+18x-12 ))))))))))

Click here to see answer by fractalier(2101) 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(2101) 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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