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

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

Question 34929: Factor completely the polynomial, and indicate any that are not factorable using integers.
105n^3+261n^2+66n
Click here to see answer by longjonsilver(2297)

Question 34844: Factor:
a(y + 1)-b(y + 1)
Click here to see answer by longjonsilver(2297)

Question 34788: b^3+2b^2=35b
Click here to see answer by kietra(57)

Question 34931: Given that f(x)=x2-2x-7, find and simply f(a-1) and f(a+h)-f(a).
Click here to see answer by longjonsilver(2297)

Question 35011: Solve for :
X/2 + X/4 = 6
Click here to see answer by Prithwis(166)

Question 35010: Solve for :
5/6 = X/12
Click here to see answer by Prithwis(166)

Question 35014: Solve for :
x^2-100/x^2+12x+20 times x^2+20x+100/x-10 = 18x+99/x+2
This is a real headache I can not figure it out
Click here to see answer by mszlmb(115)

Question 35062: My book doesn�t want to talk about it, they just give you the answer and that�s hopeless. Please what are the operations to do here I just can�t find it.
A polynomial f(t) of degree 3 satisfies f(−2) = 0, f(2) = 4, f'(−1) = 2, and f'(1) = −6.
(a) Write the general form of the polynomial and its derivative.
(b) Find four linear equations that must be satisfied by the unknown coefficients in the
polynomial.
(c) Write the augmented matrix for your system of equations in (b), row-reduce by hand
Click here to see answer by venugopalramana(3286)

Question 35016: Complete the ordered pair to make a solution to the given equation: (-7/2, ?); the equation is -2x+3y=25
Click here to see answer by Prithwis(166)

Question 35092: Use the difference-of-squares patterns to factor f the following.
(x+6)^2-(x+9)^2
Click here to see answer by stanbon(75887)

Question 35079: Find the imaginary solutions to the equation.
3y^2+8=0

Click here to see answer by stanbon(75887)

Question 35075: Question: Solve problem by using a proportion.
1. Student-teacher ratio. The student-teacher ratio for Washington High was reported to be 27.5 to 1. If there are 42 teachers, then how many students are there?
Click here to see answer by stanbon(75887)

Question 35076: Magazine sales. A company specializing in magazine sales over the telephone found that in 2500 phone calls, 360 resulted in sales and were made by male callers, and 480 resulted in sales and were made by female callers. If the company gets twice as many sales per call with a woman's voice than with a man's voice, then how many of the 2500 calls were made by females?
Click here to see answer by melissa361(1)

Question 35112: I need to Factor polynomial, if possbile
xy - ty + xs - ts

Any help would be great:)
Click here to see answer by longjonsilver(2297)

Question 35112: I need to Factor polynomial, if possbile
xy - ty + xs - ts

Any help would be great:)
Click here to see answer by Prithwis(166)

Question 35082: Why are there usually two solutions in quadratic equations?
Click here to see answer by Prithwis(166)

Question 35082: Why are there usually two solutions in quadratic equations?
Click here to see answer by longjonsilver(2297)

Question 35080: Why do you factor a quadratic equation before you solve?
Click here to see answer by Prithwis(166)

Question 35080: Why do you factor a quadratic equation before you solve?
Click here to see answer by longjonsilver(2297)

Question 35045: (r+1)/4 = (1+2r)/5
Click here to see answer by longjonsilver(2297)

Question 35045: (r+1)/4 = (1+2r)/5
Click here to see answer by Prithwis(166)

Question 35117: Use FOIL to multiply:
(5x � 8)(x � 7)

ANY HELP :)
Click here to see answer by Prithwis(166)

Question 35081: What square root property is essential to solve any radical equation involving square root?

Click here to see answer by Prithwis(166)

Question 35166: x^2+2x-35=0
do you multiply 2x times -35 and find thoes factors or solve???
Click here to see answer by checkley71(8403)

Question 35134: i need to factor the polynomails n to the third +4n to the second - 21n=0
Click here to see answer by checkley71(8403)

Question 35186: what is a^2+8a?
Click here to see answer by checkley71(8403)

Question 35217: please help me find b^2 - 4ac and the number of real solutions to the equation below
-2x^2 + 5x - 6 = 0
Click here to see answer by venugopalramana(3286)

Question 35217: please help me find b^2 - 4ac and the number of real solutions to the equation below
-2x^2 + 5x - 6 = 0
Click here to see answer by longjonsilver(2297)

Question 35220: x-10/4x^2+ x+1/2x
Click here to see answer by longjonsilver(2297)

Question 35264: Someone please show me how to rationalize the denominator for the following problem
1/sqrt(x)+1 >fyi... +1 is not in the sqrt only x
My options are:
A)Sqrt (x)+1 / x-1
B)Sqrt (x)-1 / x+1
C)Sqrt (x)-1 / x-1
Thanks
Click here to see answer by lyra(94)

Question 35311: I have asked three problems today, but for some reason I have not received any answers, It tells me that my question has been sent, but I haven't received any e-mails saying that my solutions are available...can someone help me please!!!!!
(x^2+8x+12/x-5)/(3x+18/x^2-25)
Click here to see answer by longjonsilver(2297)

Question 35308: (x^2+8x+12/x-5)/(3x+18/x^2-25)
Click here to see answer by longjonsilver(2297)

Question 35314: Please help me!
They are fractions 3 over 2w+10 plus 5 over w+5
ADDING
3 5
--------- + --------
2w+10 w+5
Click here to see answer by checkley71(8403)

Question 35294: I NEED HELP FACTORING:
X^2 - 6X + 5
Click here to see answer by jordan_ray310408(1)

Question 35294: I NEED HELP FACTORING:
X^2 - 6X + 5
Click here to see answer by lyra(94)

Question 35295: (Y + 4)(Y + 3)
Click here to see answer by checkley71(8403)

Question 35335: I NEED HELP FACTORING:
Y^2-10Y+25
Click here to see answer by narayaba(40)

Question 35335: I NEED HELP FACTORING:
Y^2-10Y+25
Click here to see answer by lyra(94)

Question 35348:
Click here to see answer by crunked_3000(3)

Question 35364: please help with this one:Write equation of the circle in standard form and sketch its graph:5x^2 + 5y^2 +10x + 1 = 0
I keep ending up trying to get a square root of a fraction and this is what I have so far:
x^2 + y^2 + 2x + 1/5 =0 (so what do I do with the 5?)
x^2 + 2x + y^2 + 1/5 = 0
x^2 + 2x + 4 = y^2 + 1/5 = ??? I am missing a step to get here - thanks
Click here to see answer by narayaba(40)

Question 35390: Can someone show me how to rationalize the denominator...Please
1/4-sqrt2 one divided by 4 - square root of 2
Thanks
Click here to see answer by lyra(94)

Question 35293: I NEED HELP WITH:
(x^2 - 3x + 5)+(x^2 + 2x - 3)
Click here to see answer by lyra(94)

Question 35429: How can I divide the two problems below, I have been working on these for the last two days

(14x^3 - 21x^2 + 4x - 6) by (2x - 3)

(3x^3 + 4x^2 - 7x + 2) by (x - 2/3)

Click here to see answer by stanbon(75887)

Question 35428: How do I divide
18x^2y - 9x + 6y^2 by 3xy
Click here to see answer by stanbon(75887)

Question 35412: Can someon help me simplify a complex fraction??
(1/x+2/y)/(4/xy)
Click here to see answer by stanbon(75887)

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, 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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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