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

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Question 391539: Solve the equation.
5p/7 - 18 = -43
Click here to see answer by josmiceli(19441)

Question 391539: Solve the equation.
5p/7 - 18 = -43
Click here to see answer by mananth(16946)

Question 391578: 18z^2+36z+16, I am stumped in factoring this
Click here to see answer by stanbon(75887)

Question 391606: I'm hoping someone can help me with this. Here is my problem:

x^3-2x^2-7x-4=0
Please note, the "3" and the "2" are exponents.
I have to a)list all possible rational roots
b)use synthetic division to test the possible rational roots and find an actual root
c)use the quotient from part b to find the remaining roots and solve the equation.
Ok...Here's what I have so far:
For part a) my POSSIBLE rational roots, obtained by dividing the factors of the constant term/lead coefficient are; {+-1.+-2,+-4}
For part b) I tested them via synthetic division and found that
{-1,2,4} are my ACTUAL roots.
Ok...HERE'S what I don't get: First, let me ask a silly question. If I have used all my POSSIBLE roots and found ACTUAL roots, how can any roots still be remaining? Also...WHICH quotient am I supposed to use??!!! I would be very grateful for help and clarification of part c of this problem! I need to know how to find the "remaining roots", then how to use it to solve my polynomial. Thank you to whomever responds!
Click here to see answer by edjones(8007)

Question 391719: The function f(x) = 3x^3 - 2x^2 + x - 2 can be expressed as:
a. (x+1) (x^2 + x + 2)
b. (x-1) (x^2 + x + 2)
c. (x+1) (3x^2 + x + 2)
d. (x+1) (3x^2 + x + 2)
I think it's C. Am I right?

----------
Use limits to describe the end behavior of f(x) = 2 / (divided by) x^2 - 1 at values of x not in its domain.
Thanks for the help.
Click here to see answer by MathLover1(20849)

Question 391741: Evaluate the polynominal for x=-2
2x^2-5x+3
I'm getting an answer of 29, am I correct?
Click here to see answer by ewatrrr(24785)

Question 391746: Factor completely.
200c^2+640cd+512d^2
Click here to see answer by CharlesG2(834)

Question 391718: The zeros of f(x) = 3x^4 + 8x^3 + 6x^2 + 3x - 2 are?
I know it's 4. And I have an idea of what they are... But I'm confused. Please show the steps, if possible.
Given that 4i is a zero of f(x) = x^4 + 13x^2 - 48, there must be three real zeros of f(x).
True or false?
For this one, and if possible, could someone provide a brief explanation of what's the difference between calculating real zeros and imaginary zeros? That's the main issue I have.
Click here to see answer by CharlesG2(834)

Question 391772: how do i use the zero-factor property when solving a quadratic equation. can they both sides be zero?
Click here to see answer by Alan3354(69443)

Question 391772: how do i use the zero-factor property when solving a quadratic equation. can they both sides be zero?
Click here to see answer by stanbon(75887)

Question 391788: oThe amount of calcium and iron (in milligrams) found in one 10 oz package of broccoli
If there 13% of calcium in one 10oz package of broccoli and 12% of iron how do I convert percentage to milligrams?
Click here to see answer by Alan3354(69443)

Question 391854: sqrt 5x^2-3x=2x can you help me solve this?
Click here to see answer by stanbon(75887)

Question 391914: 3/x+1 + 2/x-1
Click here to see answer by unlockmath(1688)

Question 391914: 3/x+1 + 2/x-1
Click here to see answer by mananth(16946)

Question 391943: Find a polynomial f(x) of degree 4 that has the following zeros.
-4,1,0,-5
Leave your answer in factored form.
Click here to see answer by Alan3354(69443)

Question 391919: divide
(14x3rd power+6x)\2x
Click here to see answer by Alan3354(69443)

Question 391962: . A factory produces very small electric light bulbs. It is known from experience that 6% of the bulbs produced are defective, i.e. they do not work.
Another factory uses these bulbs in strings of lights used to decorate Christmas trees, where each string contains 50 light bulbs.
For a string of lights, calculate,
(a) the mean number of bulbs which are defective

(b) the variance of the number of defective bulbs

(c) the standard deviation of the number of defective bulbs

(d) The company that produces the strings of lights packages each string in a box. The company also wishes to include a small packet of spare bulbs in the box. Using your answers from (a), (b) and (c) above, how many spare bulbs should they include with each string?

Click here to see answer by stanbon(75887)

Question 391976: Can someone please help me find the LCM of 35Y^6 and 175Y^3? The LCM is ___?
Click here to see answer by josmiceli(19441)

Question 391995: its more monomials
but ,
([3^2]^3 g^5 h^8)^2
Click here to see answer by stanbon(75887)

Question 391971: Write a polynomial equation of least degree with roots: 1, i, and -i.
Thank you so much for all of your help!!!!!!
God Bless!!!!!!
Click here to see answer by josmiceli(19441)

Question 392025: Hey I need help simplifying rational expressions that have polynomials on both the denominator and the numerator Thx
Click here to see answer by rfer(16322)

Question 392030: Hi there! Can you please help me?
(6x^3+19x^2+2x-3)/(x+3)
Thank you so much!
Click here to see answer by rfer(16322)

Question 392074: factor polynomial completely
-8a^2+8b^2
Click here to see answer by mananth(16946)

Question 392074: factor polynomial completely
-8a^2+8b^2
Click here to see answer by unlockmath(1688)

Question 392074: factor polynomial completely
-8a^2+8b^2
Click here to see answer by stanbon(75887)

Question 392056: Can you help me solve this polynomial?
(b^2+b-12)/(b^2+2b-15)
Click here to see answer by rfer(16322)

Question 392214: find LCM of (3+2t),(9-4t^2),(3-2t)
Click here to see answer by ewatrrr(24785)

Question 392108: How do you factor 18^3+32x? 20k^2-100k? x^2+8x+40? 2x^3-2x?
Click here to see answer by edjones(8007)

Question 392337: How do I factor this expression?

Click here to see answer by MathLover1(20849)

Question 392345: How to solve this, 6x^3-6x^2-x+1 by factoring through grouping.
Click here to see answer by MathLover1(20849)

Question 392348: What is the greatest common factor of these three polynomials 11x^7, 11x, -66?
Click here to see answer by rfer(16322)

Question 392374: How to simplify this expression, (2^7)^8?
Click here to see answer by rfer(16322)

Question 392360: Divide and simplify this polynomial, 7^9/7^7?
Click here to see answer by rfer(16322)

Question 392377: Mulitply: (2x + 1 )(3x^2 + 2x)
Mulitply and simplify: (x - 4)^2
Click here to see answer by rfer(16322)

Question 392419: How to simplify this expression(-5x+3)+(4x^2+1/2x-7)through addition?
Click here to see answer by stanbon(75887)

Question 392426: please help me reduce this fraction to lowest terms:
Click here to see answer by nerdybill(7384)

Question 392455: How to factor this expression t^2-4t-45 completely?
Click here to see answer by rfer(16322)

Question 392450: Solve this equation
(x+5)(x-4)(x+2)>0
Also: solve for x
4x(x-7)-5x(x-6)=-3
add:
(2x^2-5xy+y^2)+(-9x^2-2xy-y^2)+(x^2+xy-2y^2)
I have been working on these problems for quite some time. thanks in advance!
Click here to see answer by stanbon(75887)

Question 392384: How to factor down b^3-4b^2-9b+36 completely?
Click here to see answer by Alan3354(69443)

Question 392423: How to simpilify this expression(3/10x^3-3/10x-1/2)-(-1/10x^3+3/10x-1/2)through subtraction?
Click here to see answer by rfer(16322)

Question 392493: So what I need to know is how to simplify this expression x^9+2x^8 by factoring and then check by multiplying?
Click here to see answer by ankor@dixie-net.com(22740)

Question 392537: Factor the following and list all zeros (roots):
x^4+7x^3-4x^2-52x+48
Click here to see answer by richard1234(7193)

Question 392539: Factor the following and list all the zeros (roots):
x^3+4x^2-4x-16
Click here to see answer by haileytucki(390)

Question 392554: how do you Use the grouping method to express the polynomial below as a product of its factors. Write each factor as a polynomial in descending order. 6x - 18
Click here to see answer by haileytucki(390)

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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