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

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

Question 180518: How do you factor the expression
Click here to see answer by stanbon(57387)

Question 180518: How do you factor the expression
Click here to see answer by mgmoeab(28)

Question 180532: Convert to scientific notation (here you may use the x as multiplication): 0.000347
Click here to see answer by Mathtut(3670)

Question 180532: Convert to scientific notation (here you may use the x as multiplication): 0.000347
Click here to see answer by stanbon(57387)

Question 180527: ((x^3-x^2-x+1)/(x^3-x^2+x-1))= 0 Hello, I am trying to solve this for x. I started by graphing the formula making 0 = y and the answer came out to be 1. I then plugged 1 in for x and the answer didn't match up. So i stated to factor and got the top half the equation (x^3-x^2-x+1) to factor into (x-1)(x+1)(x-1) and the bottom half (x^3-x^2+x-1) to factor into (x^2+ 1)(x-1) from there i couldn't make anythign of it. I think i'm on the right track but not sure. Thanks for your help
Click here to see answer by stanbon(57387)

Question 180558: How do you do 4 5
- - -
t-2 t-2
Click here to see answer by stanbon(57387)

Question 180548: Simply the expression:
(3x+1)^2 + (2x-4)^2

Click here to see answer by nerdybill(6962)

Question 180592: I have a question, when you have a polynomial equation where the little number on top is touching the letter, is that still considered a power? Hope that sounds right. Thanks
Click here to see answer by vleith(2825)

Question 180594: A rectangular box is (2x+7) feet wide, (5x+2)feet long and (x-4) feet high.
Find the volume. I need to Familiarize,Translate, Carry Out, Check and State To Solve. Not sure what that means. Thank You
Denise
Click here to see answer by vleith(2825)

Question 180617: I am having trouble lining this problem out. The line between the set of numbers confuses me. Thank You
4x^3-15x^2-190x+9 divided by x-9
What's the easiest way to type these minds of problems on the keyboard? Thank You
Denise
Click here to see answer by Mathtut(3670)

Question 180635: how do you multiply out (x+2)^3
Click here to see answer by Alan3354(30993)

Question 180700: find all solutions of the equation algebraically
9x^4 - 24x^3 + 16x^2 =0

Click here to see answer by jim_thompson5910(28598)

Question 180698: find all solutions of the equation algebraically.
8x^4 - 18x^2 = 0

Click here to see answer by jim_thompson5910(28598)

Question 180715: Simply and evaluate:
(x^3y^-4/5x^6y^-8z^0)^3
Show steps!
Click here to see answer by Alan3354(30993)

Question 180769: Solve:
the polynomial function f(50)= 0.04^3-0.14x^2+5.1x+11 models the path of a portion of the track of a roller coaster as shown. x=50

Click here to see answer by jim_thompson5910(28598)

Question 180790: Please help me with this question,
An open wooden box is a cube with side x cm. The box including its bottom, is made of wood that is 1cm Thick. Find a polynomial for the interior volume of the cube.
Click here to see answer by Alan3354(30993)

Question 180778: Add:
x³y² + 2x²y³ + 3xy – 4) + (x² y ³– 7x³ ²y + 2xy +1)
Multiply:
(x² + 2y² -xy)(x² + 7xy + y²)

Click here to see answer by EMStelley(187)

Question 180844: 9x^2-64 I'm supposed to Factor it. Can you explain that please. Thank you
Click here to see answer by Fombitz(13828)

Question 180696: add and simplify:
2/x^2y + 7/xy^2 or
2 7
--- + ---
x^2y xy^2 x^2 and y^2 = x squared and y squared
thank you!
Click here to see answer by Fombitz(13828)

Question 180894: 8-(5/y+2)=1/y+1
Click here to see answer by jim_thompson5910(28598)

Question 180900: Simply the expression:
2n^2y^19n^11y^5 2
the 2 at the end has no variable or exponent!
How did you get the answer
Click here to see answer by jim_thompson5910(28598)

Question 180901: Fill in the missing blank!
x^2x^5 ________
x^-8 x^-8
These are fractions!
a) x^7
b) x^-3
c) x^-10
d) x^10
How did you get the answer

Click here to see answer by jim_thompson5910(28598)

Question 180905: Explain how to reverse FOIL when factoring a polynomial of the form
ax+bx+c when a=1. Give an example with your explanation.
Thank You
Denise
Click here to see answer by Mathtut(3670)

Question 180922: Explain how to factor a polynomial of thw form ax^2+bx=c when a is not
equal to 1. Describe both the grouping approach as well as reversing FOIL.
Contrast the two methods by means of an example. Discuss which is the best
approach and why.
Thank You
Denise
Click here to see answer by stanbon(57387)

Question 177377: Evaluate each expression..
please help with these.. thank you

29. 4!

30. 8i/6i 2i

31. 6C3

32. 7P2

Click here to see answer by stanbon(57387)

Question 180746: The simplified form of x+5/5-x - 3/x^2-25 is ?
Click here to see answer by edjones(7569)

Question 180968: Simply the expression:
2n^2y^19n^11y^5 2
the 2 at the end does not mean to square the expression to the second power! It is a number without variables or exponents
a) 4n^13y^24
b) no correct answer
c) 2n^30y^7
d) 4y^13n^24
how did you get the answer
Click here to see answer by user_dude2008(1861)

Question 180977: The remainder when f(x)= -2x^4 + x^2-5x+1 is divided by x + 1 is?
Click here to see answer by Mathtut(3670)

Question 181059: I am homeschooled with the School of Tomorrow. I have no teacher, and am struggling with factoring trinomials, particularly coefficients greater than one and complex factoring. Right now I am trying to solve Please help me!
Click here to see answer by Mathtut(3670)

Question 181077: A polynomial in x has degree 3. The coefficient of x^2 is 3 less than the coefficient of x^3. The coefficient of x is three times the coefficient of x^2. The remaining coefficient is 2 more than the coefficient of x^3. The sum of the coefficients is -4. Find the polynomial.
Click here to see answer by eperette(173)

Question 181084: Find the product and answer without negative exponents.
a^-6(4a^-2-4a^3)
I get this...(1/4a^8)+(1/4a^3)
Can you please help me figure this out?
Click here to see answer by eperette(173)

Question 181109: 1/x + 2/x = 6
It asks that i solve the equation. I got it down to 3/x = 6 and that would make x=2 but when i plug that into equation it does not equal.
Click here to see answer by Mathtut(3670)

Question 181107: 1/3 [2-3(x+2)]= 1/4 [(-3x+1)+ 1/2(x)
IT asks that I solve the equation. The answer I got was x= -4 2/9 but I'm not sure. Thanks for any help.
Click here to see answer by solver91311(16897)

Question 181153:
Click here to see answer by Alan3354(30993)

Question 181204: True or False
24700000000.000004 = 0.247x10^11

Click here to see answer by Alan3354(30993)

Question 181226: please help.

1.Given 2p to the sixth power +5p to the fourth w to the fourth -13p to the third w +7p to the second minus 10.

What is the degree?
Click here to see answer by Mathtut(3670)

Question 181255:

Click here to see answer by eperette(173)

Question 181281: I need an explanation on HOW to solve the following problem so I can do the rest of the problems that are similar. I've read the book, but it's so confusing. I put the answer in case I didn't format it right. Thank you.
(2x^2 +7x + 3) / (x + 3) = 2x + 1
Click here to see answer by Mathtut(3670)

Question 181301: +^2*+^5*+.
Click here to see answer by solver91311(16897)

Question 181303: Express the following product of powers of + as a single power of + :
+^2*+^5*+
Click here to see answer by Mathtut(3670)

Question 181306: According to the Einstein’s Theory of Relativity, nothing in the universe as we presently know it can exceed the speed of light; in a sense, it is the ultimate cosmic speed limit. Speed of light in vacuum is 300,000 kilometers/second or 671,080,888 miles/hour! Take a moment and think about this tremendously high speed; it is extremely fast; faster than a speeding bullet (speed of a rifle bullet is in the range 400 to 3,350 miles/hour).
a. Show the speed of light in scientific notation in units of miles/hr.
b. Given that Moon on average is 240,000 miles away from where you are standing on Earth, how long does it take a light ray to travel from the Earth to the Moon? First, show your answer in hours in scientific notation. Then convert your answer to seconds. Your final answers should be accurate to 3 decimal places.

Click here to see answer by Alan3354(30993)

Question 181388: Explain how to factor a polynomial of the form ax^2+bx+c when a is not equal
to 1. Describe both the grouping as well as reversing FOIL. Contrast the two
methods by means of an example. Discuss which is the best approach and why.
I am sooo lost. Thank You
Denise
Click here to see answer by Mathtut(3670)

Question 181389: Factor out the common factor of 2x from:
8x^3/5 + 6x^5/6
I have been really struggling with this question the answer i got was
2x{4x^3/10 + 6x^2/5}
I think it is trick question!

Click here to see answer by Mathtut(3670)

Question 181402: One factor of g(x)=x^3+x^2-9x-9 is x-3. Find the remaining factors.
Click here to see answer by stanbon(57387)

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