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

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

Question 139303: x^3+4x+5/x+1
the answer is x^2-x+5
my question is how did solve for this?
Click here to see answer by stanbon(75887)

Question 139302: Could you please help.I am totally confused. find each sum or difference.radicals. root sign 2+9 root sign 2. i hope you understand me .I don't know how to make that sign on my computer.Thanks for all your help
Click here to see answer by stanbon(75887)

Question 139205: Will somebody please (in simple english) tell me what polynomial and degree are. I dont get it..
Click here to see answer by scott8148(6628)

Question 139335: Please help me.find each sum or difference 6 sqrt sign 49a and small 9 at top ofa -5 sqrt sign 36b and small 2 at top of b thank you i appreciate your help
Click here to see answer by stanbon(75887)

Question 139348: sqrt sign 54w small 16 at top of w over 150z small 4 at top of z.please show me how to simplify this . i really value your help.thanks
Click here to see answer by stanbon(75887)

Question 139361: rationalize the denominator of the fraction.3 sqrt 3 over 3 sqrt 7 i came up with 3 sqrt 147 over 7 but i have no idea if this is correct.thanks in advance for your help .also rewrite 5 sqrt c with a small 2 at the top of the c.for this one i got c 2/5
Click here to see answer by solver91311(24713)

Question 139367: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn�t you? How does this number game work? (Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression). How did the number game use the skill of simplifying rational expressions? Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions.
: Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. You reached 1 for an answer, didn�t you? How does this number game work? (Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression). How did the number game use the skill of simplifying rational expressions? Create your own number game using the rules of algebra and post it for your classmates to solve. Be sure to think about values that may not work. State whether your number game uses the skill of simplifying rational expressions.
Can someone please provide some examples of this, it is greatly appreciated!
Click here to see answer by MathLover1(20849)

Question 139319: Thanks for the previous answers. I really need help to this maths; it's that urgent.
Which of the following is not a zero of
P(x) = -5(x - 14)(x + 10)(x - 11)(x - 4)(x + 16)?
Option: 5, 4, 11, -10
Please write the solution procedure for me.
Click here to see answer by checkley77(12844)

Question 139289: v^2+10v+25=0
Click here to see answer by checkley77(12844)

Question 139263: I hope someone can help me. I have three problems I need to finish for my homework. I will be very gratedful if some one could help me.
1. Perform the indicated operations:
(-x2 � 6x + 3) � (-9x2 + x � 1) � (x2 + 5x � 2)
2. Use FOIL to multiply:
(8x � 1)(2x + 5)
3. Multiply:
(x4 � 4x2 � 5)(x2 � x + 2)
I would like to thank you in advance for your help and useing your time to help me.

Click here to see answer by checkley77(12844)

Question 139405: I need to solve this equation and state any extraneous solutions. When it says over, it's a fraction. I didn't know how else to put it.
a over 3a+6
minus
a over 5a+10
equals 2 over 5

Click here to see answer by frostusna(7)

Question 139428: (4x)2=9/16
Click here to see answer by checkley77(12844)

Question 139558: Hi, I am having trouble with a problem on my homework, I hope some one can help me,The problem is :
Factor Completely
3x^2 + 23x - 36
I did get some of this but I am not sure if I am right.
The possible factor of the coefficient of the term (3x^2) are 1 x 3
but I got lost after that.
Thank you in avance for your help.
Click here to see answer by frostusna(7)

Question 139588: i need help with these problems so can u help me asap
Click here to see answer by solver91311(24713)

Question 139640: Hi, I am having trouble with a problem I hope some one can help me please.
Factor Completety:
3x - 3x^2 + 6x - 18
I would like to thank you for your help.
Click here to see answer by jim_thompson5910(35256)

Question 139659: Find n to be a perfect square trinomial
x^2+20x+n
I have looked inside of my algebra book in the index and in sections on perfect square trinomials, and I found absolutely no problems like this in my textbook. So please help me on this problem I am just confused. thank you so much for your time, it really means alot to me.
Click here to see answer by scott8148(6628)

Question 139660: Can some one please help me with this problem:
Factor completely:
x3 – 3x2 + 6x – 18
Thank you

Click here to see answer by scott8148(6628)

Question 139785: 1. Find the indicated value of the polynomial. Match your result to the correct answer below.
P(x) = x2 � 2x � 3, P(�2)
A) �3
B) 5
C) 11
D) �11

Click here to see answer by checkley75(3666)

Question 139815: "solve the following equation for x"
5/x-1 = 2/x+5

Click here to see answer by edjones(8007)

Question 139800: Solve for z: z^2-2z+1=-4
Click here to see answer by jim_thompson5910(35256)

Question 139848: this isn't a problem from my book.

(x-2)
-----
(2-x) this is what I have -1(-x+2)
------
(-x+2) + -1
I'm not sure if I'm doing that right. Thanks for your help. Anne
Click here to see answer by stanbon(75887)

Question 139887: 5/y-3 = y+7/2y-6 +1
Click here to see answer by ankor@dixie-net.com(22740)

Question 140005: Multiply and match your result to the correct answer below:
(z � 8)(z + 8)
A)z2 + 16
B)z2 � 64
C)z2 � 16
D)z2 � 16y � 64

Click here to see answer by jim_thompson5910(35256)

Question 140099: I am having trouble solving this type of problems.
x^3+5x^2-6x+10
______________
x+3
Click here to see answer by jim_thompson5910(35256)

Question 140153: (2y^3-5y)(4y^2+3)
Click here to see answer by checkley77(12844)

Question 140165: Which of the following is the sum of 150 percent of 2 and 100 percent of 2?
a. 2
b. 3
c. 5
d. 100
e. 150
Click here to see answer by checkley77(12844)

Question 140175: a circular pizza is sliced into 12 equal slices.Chuck cuts each slice from the center to the edge in equal parts. If Chuck eats 2 slices, what is the sum of the degree measures of the slices he eats?
a. 20
b. 60
c. 120
d. 220
e. 240
Click here to see answer by oscargut(2103)

Question 140171: If f(x)=[-7x+1], then f(5)=
a.-36
b.-34
c.34
d.35
e.36
Click here to see answer by oscargut(2103)

Question 140345: I'm working on solving polynomial equations. I'm stuck on this one. It isn't in the book.
2x^2 = 18 I figure that you would divide by 2 first but I'm not sure what to do next. I appreciate your help with this. Anne
Click here to see answer by jojo14344(1513)

Question 140187: For x>0, what is 7x divided into 2 then divide by 1 divided into 4x

a. 3.5x
b. 14x
c. 28x
d. 14x^2
e. 28x ^2
Click here to see answer by ankor@dixie-net.com(22740)

Question 140429: How many points with integer coordinates lie between the graphs of
y=(1/2)|x-3|-2 and y=3?
I am just confused on everything here. If you have time, can you help me. Thankyou... Kelly
Click here to see answer by stanbon(75887)

Question 140490: Hi, I am trying to do this two problems, and I am lost. Could some one please help me. I would like to thank you for the time you have spend to help me .
Perform the indicated operations:
2√[48] + 7√[12] �√[27]
Rationalize the denominator:
___ 2____
√[3] + √[2]

Click here to see answer by ankor@dixie-net.com(22740)

Question 140549: Hi my question is this:
x2 � x - 90 x2 +15x + 54
____________ � _____________

x2 � 14x + 40 6x - 24
My teacher said that this was a rational expression how do i factor and solve this.Please help thanks!
Click here to see answer by checkley77(12844)

Question 140604: I need help with this problem, please. It is:
(3x + 2x^3 + 114)/(x+4)

Click here to see answer by MeggieMizell(6)

Question 140607: Please help me with these problems for my homework that is due tomorrow night.
*Write this number in scientific notation 75170000
*Write this in decimal nottion (5.180)(10^-3)
*Simplify (3r^-5t^6)^-4
*Write in scientific notation 0.0886
Click here to see answer by MeggieMizell(6)

Question 140663: I need to write these two problems in the following in Ax+By=C Form
1.) with slope 2/3 through (-1,-4)

2.) through (-4,5) and (-2,-3)
Click here to see answer by stanbon(75887)

Question 140649: Tutor can you assist me with this math? Simplify, write the answer in the form a+bi where a and b are real numbers (3+4i)(2-i)
Click here to see answer by ankor@dixie-net.com(22740)

Question 140583: this problem is on page 353 in section 5.6
x^2 - 16 = 0
x^2 -16 +16 = 0 +16
x^2 = 16 take the square root to solve for x
x = 4 is this right?
Click here to see answer by jojo14344(1513)

Question 140723: This is a word problem.
Winter Wheat. 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 field and that the side of the largest field was 3 kilometers longer than 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?
We have been using pythagorean theorem in some problems, but I'm not sure how to set this one up. Could you help me with this? Anne
Click here to see answer by scott8148(6628)

Question 140735: The sum of the squares of two consecutive negative integers is 100. Find the integers. (I got the answer but i don't know how to solve it, I did guess and check)
Click here to see answer by checkley77(12844)

Question 140645: Tutor Would you help me with this problem? Find the difference quotient f(x+h)-f(x)/h for 2-x^2
Click here to see answer by Fombitz(32388)

Question 140739: Please help me understand how to do this problem! Thanks sooo much in advance
Here is the question:

A bus traveling 40mi/h left Freetown at noon. A car following the bus at 60mi/h left Freetwon at 1:30 P.M. What time did the car catch up with the bus? How many miles were the car and the bus from Freetown whe the car caught up with the bus?
Thank you SO much in advance:)
Click here to see answer by solver91311(24713)

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, 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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, 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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, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 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