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

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

Question 90245: Use the Intermediate Value Theorem to determine if P(x) = 2x^5 - 7x +1 has a zero in the intervals [1,2].
Click here to see answer by jim_thompson5910(28536)

Question 90246: Graph the polynomial function P(x) = x^4 + x^3 -3x^2- 5x -2 to approximately find the function's zeros, then use synthetic division and the remainder theorem to exactly find its zeros.
Click here to see answer by jim_thompson5910(28536)

Question 90283: Its been a while since I have done this and I cant quite remember how to figure out the equations.I will greatly appreciate your help.
Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity of 3 times x.
A.-6x^+25x+6
B.6x^+5x+6
C.6x^-5x+6
D.6x^-5x-6
E.6x^-13x-6
Click here to see answer by stanbon(57282)

Question 90282: I need help with this question and I have absolutely no clue how to do it. It states: find all the zeros of the function: x^3+3x^2-x+12
Click here to see answer by stanbon(57282)

Question 90280: Two hundred meters of rope is used to mark off a rectangle (the dimensions are x meters by y meters.
a. Write the equation showing perimeter of 200 using x and y.
b. Write the formula for area using x and y.
c. Write the function for area using only x, which could be used to find the maximum possible area.
Click here to see answer by checkley75(3666)

Question 90298: How do I multiply (x - 10) (x+9)?
I'm lost with how to figure these out. Thank you.
Click here to see answer by jim_thompson5910(28536)

Question 90319: The problem says factor:
x^2-25
x^2-7x-12
I forgot how to factor these so maybe if you just explain it briefly I might remember,thank you.
Click here to see answer by Earlsdon(6287)

Question 90320: Please show me how to factor this polynomial completely:
4x^2-20x+25
Thank you so much!!
Click here to see answer by tutor_paul(490)

Question 90318: Would you please use the synthetic division to determine whether the first polynomial is a factor of the second. State yes or no and show work.
x+3 , 6x^3 + 29x^2 + 32x -3
Click here to see answer by stanbon(57282)

Question 90334: I need to find the altitude of the triangle
13 by 10 by 13
I have no idea how to do this.
Click here to see answer by Edwin McCravy(8893)

Question 90350: please help me with this following polynomial equation word problem and please show work so i know and understand how to do it.
The area of a right triangle is 250 in^2. Find the lengths of its leg if one of the leg is 5 inches longer then the other. (use the five step method.)
Click here to see answer by Earlsdon(6287)

Question 90347: HELP!!! Please...Factor this polynomial and please show work so i can understand better how you got that
6x^2 + 13x - 5
Click here to see answer by jim_thompson5910(28536)

Question 90354: Determine whether -3 and 2 are zeros of P(x) = 2x3 - 5x2 - 4x + 12.
Only -3 ? I just need to make sure I am on the right path!!!

Click here to see answer by jim_thompson5910(28536)

Question 90348: please help me solve the following polynomial equation and please show work
x^2 - 3x = 10
Click here to see answer by jim_thompson5910(28536)

Question 90353: Use the Remainder Theorem to find P(c). P(x) = x4 + 3x2 + 1, c = 3
I came up with 107 I am not sure this is right?
Click here to see answer by jim_thompson5910(28536)

Question 90355: Use the Rational Zero Theorem to list the possible rational zeros of the polynomial 4x4 - 9x2 + 5.
Click here to see answer by jim_thompson5910(28536)

Question 90357: Find all the zeros of the polynomial x3 - 4x2 + 9x - 36
Click here to see answer by stanbon(57282)

Question 90349: solve the following polynomial equation and please show work
x(x-2)(x-3)= 0
Click here to see answer by stanbon(57282)

Question 90405: Find the corresponding y values for x = -4, -3, -2, -1, 0, 1, 2 if y = x^2 + 2x- 3. help this is not sinking in at all.

Click here to see answer by jim_thompson5910(28536)

Question 90405: Find the corresponding y values for x = -4, -3, -2, -1, 0, 1, 2 if y = x^2 + 2x- 3. help this is not sinking in at all.

Click here to see answer by stanbon(57282)

Question 90328: Word problems never seem to be my friend. I am not really sure what they are askng for.
Question: The price of an item is given by p= Find the polynomial that represents the revenue generated from the sale of X items.
Click here to see answer by ankor@dixie-net.com(15645)

Question 90345: please help me Factor the following polynomial and Show all work.
x^2 + x - 6
Click here to see answer by checkley75(3666)

Question 90341: Factor each of the folloowing polynomials.Show all work.
a^4 + a^2
Click here to see answer by checkley75(3666)

Question 90417: a falling object is given by the function "S= -16t^2 + Vot + So" where "Vo" represents the initial velocity in ft/sec and "So" represents the initial height.
If a baseball is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot skyscraper, write the height equation using this information.
s = -16(t^2 + 32 + 40) drop the 40
s = divide by 16
__________________________
t + 2 and here's where I get lost

Click here to see answer by stanbon(57282)

Question 90403: My problem is:
14/(x^2-1)+1/(x-1)=3/(x+1)
I need to solve the equation- please help!!! Thank you.
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 90448: Find a polynomial of degree 3 that has zeros 3, 2, and -1
Click here to see answer by Nate(3500)

Question 90447: Using Descartes Rule of Signs, determine the number of possible positive real roots of the polynomial 3x4 + 5x3 + 8x2 - 7x + 2.
Click here to see answer by Nate(3500)

Question 90344: Factor the polynomial. Show all work.
4x^4 - 4x^2 + 1
Click here to see answer by Nate(3500)

Question 90457: Please help me multiply the following.
8pq^2(2pq - 3p +5q)
Thank you for helping me out.
Click here to see answer by Nate(3500)

Question 90445: Are (x - 1) and (x + 4) factors of P(x) = 2x3 + 5x2 - 13x + 4
thank you in advance
Click here to see answer by jim_thompson5910(28536)

Question 90477: q^2-4/q^2-4+4
Click here to see answer by kamallohia(18)

Question 90522: How high is the rock after 0.5 seconds?
After how many seconds will the rock reach maximum height?
What is the maximum height?
S(t) = -16t^2 + 32t + 40
A falling object is given by the function "S= -16t^2 + Vot + So" where "Vo" represents the initial velocity in ft/sec and "So" represents the initial height.
A baseball is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot skyscraper
32(0.5)=16ft high after 0.5 seconds
32(40ft)= 1280seconds reaches max height
40ft is max height
is this anywhere near correct?
help

Click here to see answer by jim_thompson5910(28536)

Question 90546: Factor each polynomial completely. If it cannot be factored write "prime"
8x^2+28x-60
I have tried 4(2x^2+8x-15)
4(x+3)(x-5)
What do I do now!!
I can't get my -60 to come out when I check it.
Please help!!!!!!!!
Click here to see answer by jim_thompson5910(28536)

Question 90547: Is there ANYONE who can help me with this problem? I have 12 problems to complete and I don't know where to begin. If I had one example perhaps I could better understand how to do them. The problem is:
(a^2b^3c^4)/(3a^3b^5c) ^3 (The ^3 is on the outside of the parentheses to include the entire problem). Please help me- I am desperate. Thank you so much!!!
Click here to see answer by checkley75(3666)

Question 90536: Please help me find the answer for the following.
Multiply using the vertical method
(m^2 - 5mn + 3n^3)(m^2 + 4mn - 2n^2)
Thank you for the help.
Click here to see answer by checkley75(3666)

Question 90548: please solve this equation.
what expression represents the product of 3 less that twice x and 2 more than the quantity 3 times x?

Click here to see answer by checkley75(3666)

Question 90553: I wonder if you could assist me with this problem please:
ac-ad-bc+bd. It says to factor completely. Thank you.
Click here to see answer by jim_thompson5910(28536)

Question 90554: I need to find the product of this problem:(2x-5)^2. Thank you for your help!!
Click here to see answer by jim_thompson5910(28536)

Question 90596: With the help of synthetic division, find the zeros of the polynomial 2x3 + 9x2 - 32x + 21.
Click here to see answer by stanbon(57282)

Question 90595: Using Descartes Rule of Signs, determine the number of possible positive real roots of the polynomial 3x4 + 5x3 + 8x2 - 7x + 2.
Click here to see answer by stanbon(57282)

Question 90592: Determine the far-left and far-right behavior of the graph of the polynomial function P(x) = 3x4 - 5x2 + 7.
Click here to see answer by stanbon(57282)

Question 90593: Find all the factors of x3 + 2x2 - 3x.
Click here to see answer by Nate(3500)

Question 90613: Are (x - 1) and (x + 4) factors of P(x) = 2x3 + 5x2 - 13x + 4 ?
Click here to see answer by scott8148(6628)

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