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

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

Question 175736: Find the real-number solutions of the equation.
x^3+2x^2-25x-50=0
Click here to see answer by stanbon(75887)

Question 175737: find the real number solutions of the equation.
y^4-14y^2+45
Click here to see answer by solver91311(24713)

Question 175743: How do I find the zeros of this polynomial function?
f(x) = x⁴ + x³ + 2x² + 4x - 8
Thank you very much.
Click here to see answer by Edwin McCravy(20054)

Question 175763: factor the polynomial in quadratic form.

x^4-36
Click here to see answer by Alan3354(69443)

Question 175766: factor the polynomial completely.

2b^4+14b^3-16b-112
Click here to see answer by Alan3354(69443)

Question 175761: factor the sum or difference of cubes.
y^3-8
Click here to see answer by Alan3354(69443)

Question 175760: factor the polynomial completely.
24q^3-81
Click here to see answer by PTER(3)

Question 175760: factor the polynomial completely.
24q^3-81
Click here to see answer by Alan3354(69443)

Question 175768: write plynomial in standard form.then name it.
-4x^4+x^2-10+12x^4-7x^2
Click here to see answer by Mathtut(3670)

Question 175746: How do I graph this polynomial function? f(x)=x^4 - 2x^3 - 3x^2 + 5x + 2.
Thank you very much.
Click here to see answer by josmiceli(19441)

Question 175746: How do I graph this polynomial function? f(x)=x^4 - 2x^3 - 3x^2 + 5x + 2.
Thank you very much.
Click here to see answer by nabla(475)

Question 172284: solve the equation
2y (3y + 8) = 6
Click here to see answer by Alan3354(69443)

Question 175754: how to solve
Click here to see answer by EMStelley(208)

Question 175810: x^4 + 2x^3 +3x^2 + 5x -2 /x +2
answer: x^3 +3x -1 need break down of how my text book got this answer in long division format
Click here to see answer by jim_thompson5910(35256)

Question 175809: x^8 - 256/ x-2
answer:x^7 + 2x^6 + 4x^5 + 8x^4 + 16x^3 + 32x^2 + 64x + 128

need break down of how my book got this answer in long division format
Click here to see answer by josmiceli(19441)

Question 175687: Factor the Polynomials:
x^3+y^3-x^2y-xy^2
81x^4-16y^4
x^3+2x^2-255x

Click here to see answer by srcedwards(3)

Question 175670: x^4 - x^3 - 9x^2 +14x - 4/ x^2 -3x + 1

answer:x^2 + 2x - 4
need a full break down of how my text book got this answer please give me break down in long division form
Click here to see answer by Mathtut(3670)

Question 175842: x^8 -256\x-2
answer x^7 +2x^6 +4x^5 + 8x^4 + 16x^3 + 32x^2 + 64x +128
any math wizard can give me a full break down long division format on how my text book got this answer
Click here to see answer by Mathtut(3670)

Question 175684:
Click here to see answer by EMStelley(208)

Question 175860: If the diameter of a circle is 1.3X10^-13 meters then what is the radius? Could somebody please help me with us? I do not know how to do this problem. Ty in advance. Judy
Click here to see answer by Alan3354(69443)

Question 175849: The Cutting Edge Frame shop makes a mat by cutting out the inside of a rectangular board. The board is (2x-3) long and (x+8)wide. The cut out portion is (2x-7) long) and (x+4) wide and has an area of (184 in^2). Find the length and width of the original board. I used (2x^2+x-28=184) to find the area of the cut out, and am having trouble solving for x to find the original length and width. I get numbers for x of 10.04 and -10.5
Click here to see answer by ankor@dixie-net.com(22740)

Question 175942: I have been working on this math problem and I can't figure out how to get the answer. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Simplify each expression. If the expression does not represent a real number say so.
a. square root of -a^2
b. square root of (-a)^2
c. index=4 square root of a^4
d. square root of a^6
Click here to see answer by nerdybill(7384)

Question 175946: 2 - 3[-4 + 6] � (-2)
Click here to see answer by vleith(2983)

Question 175961: The mass of Mercury is about 3.302*10^20 metric tons. The mass of the sun is about 1.998*10^27 metric tons. About how many times the mass of Mercury is the mass of the sun?
Click here to see answer by josmiceli(19441)

Question 175978: (x+4)(2x-5)(x+5)2 the two at the end is a polynomial andput in standerd form
Click here to see answer by Alan3354(69443)

Question 176002: The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 50 year-old woman who is 150 centimeters tall.
Click here to see answer by Mathtut(3670)

Question 176017: The base of a triangle is 8cm greater than the height. The area is 42cm^2. Find the height and length of the base. How do I set up this problem to get the answer?
Click here to see answer by jim_thompson5910(35256)

Question 176024: The number N, in millions, of hearing impaired individuals of age x can be approximated by N=0.00006x^3+0.006x^2-0.1x+1.6. Approximate to the nearest million the number of hearing impaired individuals of ages 25-50.
Click here to see answer by user_dude2008(1862)

Question 176041: 1) Combine: [(2/5)x2 + (3/4)x + 5] � [(2/3)x2 � (2/3)x � 6]
I'm unsure how to solve this question with the brackets
thanks
Click here to see answer by user_dude2008(1862)

Question 176041: 1) Combine: [(2/5)x2 + (3/4)x + 5] � [(2/3)x2 � (2/3)x � 6]
I'm unsure how to solve this question with the brackets
thanks
Click here to see answer by josmiceli(19441)

Question 176099: A rectangle is three times as long as it is wide. If the length and width are both decreased by 2 cm, its area is decreased by 36 cm2. Find its original dimensions. Make a sketch as in oral exercise 2.
Click here to see answer by EMStelley(208)

Question 176146: Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime, Show all stages of factoring separately(i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).
9x^2-36y^2
Thanks ;)
Click here to see answer by EMStelley(208)

Question 176144: Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime, Show all stages of factoring separately(i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).
x^2-9x+20
Thank You ;)
Click here to see answer by Alan3354(69443)

Question 176143: Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime, Show all stages of factoring separately(i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).
x^2-15wy+3xy-5wx
Thanks
Click here to see answer by Earlsdon(6294)

Question 176192: I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Properties of Radicals
Simplify.
The cube root of 2/9
Click here to see answer by solver91311(24713)

Question 176193: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Properties of Radicals
Simplify.
The cube root of 175 over the cube root of 50
Click here to see answer by Mathtut(3670)

Question 176214: (4x^2-3x+2)(3x^2+4x+1)
Click here to see answer by stanbon(75887)

Question 176194: I have been working on this math problem and I can't find out how to get the answer. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Properties of Radicals
Simplify.
a. The cube root of 3/8
b. The fourth root of 3/8
c. The fifth root of 3/8
Click here to see answer by Alan3354(69443)

Question 176293: I have been working on this math problem and I can't figure it out!! I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Properties of Radicals
Simplify.

Click here to see answer by Alan3354(69443)

Question 176264: Can you please help me write the equation (t-3)(4t-1)(3t-7) in polynomial standard form and then find the leading coefficient?
Click here to see answer by Mathtut(3670)

Question 176331: 4) y�+5y-24
Click here to see answer by jim_thompson5910(35256)

Question 176329: 112) x� + 2x

113) 32x4+2x�+8x�

Click here to see answer by jim_thompson5910(35256)

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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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, 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