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

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

Question 1039106: Information is given about a polynomial f left parenthesis x right parenthesisf(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree:5; zeros:5,i,-5i

Click here to see answer by stanbon(75887)

Question 1039109: Find the complex zeros of the polynomial function. Write f in factored form.
f(x)=5x^4-26x^3+100x^2+106x-25
Click here to see answer by ikleyn(52750)

Question 1039110: f(x)=x^3+4x^2+x-6
Click here to see answer by ikleyn(52750)

Question 1039140: Perform the indicated operations and simplify:
4x/x^2-16 - 3/x-4
4x over x^2-16 minus 3x over x-4
(sorry I do not know how to put the line under)
So far I have for the first one
(4x) over (x-4)(x+4) and the second one I have (3) over (x-4)
Thank you

Click here to see answer by Alan3354(69443)

Question 1039151: This one is very difficult, could I have your help please?
12 + 2x+5/x-7

(12 plus 2x-5 over x-7)
Would the common denominator for the first one be (2x+5)(x-7) and the second one be (x-7)(2x+5)
Thank you
Click here to see answer by Alan3354(69443)

Question 1039149: Perform indicated operations and simplify:
5/3x - 2/9 + 4/x
(5 over 3x minus 2 over 9 plus 4 over x)

I am lost on this.
Thank you so much
Click here to see answer by gsmani_iyer(201)

Question 1039176: Which number in the monomial 125x^18y^3z^25 needs to be changed to make it a perfect cube?
Click here to see answer by Alan3354(69443)

Question 1039153: Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
x^+4/5x
Click here to see answer by ikleyn(52750)

Question 1039184: real world problem that I have over the years forgotten how to solve.
Given a space where one side is known as is it's opposing side is the same but the remaining two sides are not know and the squared result is known how do I solve for the unknown sides?
Click here to see answer by jorel555(1290)

Question 1039276: Form a polynomial f left parenthesis x right parenthesis f(x) with real coefficients having the given degree and zeros.
Degree 5; zeros:2;-i;-6+i
Click here to see answer by solver91311(24713)

Question 1039279: To find the factors of a polynomial from its graph, follow this rule: If the number _____ is a root of a polynomial, then x - b is a factor.
Click here to see answer by jim_thompson5910(35256)

Question 1039052: I would very appreciate of any help you can offer! I'm having difficulty w/ this problem that illustrates two graphs and asks the following questions:
Graph A has x intercepts of about -1.5 and 1.5 with a y intercept of -1, but also has two points below the x axis of (-1, -3) and (1, -2) approximately.
Graph B has x intercepts of -2, .5, 2, 3 and 5.5. y intercept of -1 and points of approximately (-2, -6), (1,.5), (2.5, -.5), (5, 5)
I'm asked:
Is the degree of the polynomial odd or even?
Is the leading coefficient of the polynomial positive or negative?
How many real number zeros are there?
I would really appreciate any help you can offer, thank you!
Click here to see answer by josgarithmetic(39613)

Question 1039370: I need help working through this problem. Mostly just B with Descartes law of signs.
a) Use the RZT Theorem to show the possible rational roots.
b) Use Descartes law of signs to deduce the possible # of positive and negative roots.
c) Use synthetic division, polynomial division, or the Remainder Thm to find all the real roots
1. 2𝑥^3 + 3𝑥^2 − 8𝑥 + 3
a. _____________________
b. POS #________________
b. NEG #________________
c. _
Click here to see answer by stanbon(75887)

Question 1039294: Find an nth-degree polynomial function with real coefficients satisfying the given conditions.
n=3
-3 and 4 + 4i are zeros
f(-1)=82
Click here to see answer by Fombitz(32388)

Question 1039476: Determine the equations of any horizontal and vertical asymptotes of
f(x)=x^2+8x+15/x^3+5x^2-x-5 <---The first equation is over the second.
How is this problem broke down and solved?
Click here to see answer by Boreal(15235)

Question 1039375: I need help working through this problem. Mostly just B with Descartes law of signs. Is there a better way to explain what the law of signs is?
a) Use the RZT Theorem to show the possible rational roots.
b) Use Descartes law of signs to deduce the possible # of positive and negative roots.
c) Use synthetic division, polynomial division, or the Remainder Thm to find all the real roots
1. x^4-13x^2-12x
a. _____________________
b. POS #________________
b. NEG #________________
c. _
Click here to see answer by Aldorozos(172)

Question 1039535: Which sum yields (4-6a)/(x-2)?
Click here to see answer by Alan3354(69443)

Question 1039535: Which sum yields (4-6a)/(x-2)?
Click here to see answer by ikleyn(52750)

Question 1039586: Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.
f(x)=25x^4+51x^3+77x^2+153x+6
Click here to see answer by Edwin McCravy(20054)

Question 1039670: Form a polynomial f(x) with real coefficients given degree and zeros:
Degree: 4
Zeros: -4-5i
Multiplicity: 2
Thank you!
Click here to see answer by Fombitz(32388)

Question 1039741: What is f(x) = x8 - 1 divided by x - 1?
Click here to see answer by robertb(5830)

Question 1039740: What are the zeroes of f(x) = x3 + 5x2 - 7x + 1?
Click here to see answer by robertb(5830)

Question 1039745: Can I please have your assistance? What are the least, and most, amount of distinct zeroes of a 7th degree polynomial, given that at least one root is a complex number?
Click here to see answer by robertb(5830)

Question 1039744: Can I please have your assistance? What is f(x) = x8 - 1 divided by x- 1?
Click here to see answer by Alan3354(69443)

Question 1039807: solve the equation:
sin(5x-π/6)=1/√2
Click here to see answer by stanbon(75887)

Question 1039808: Determine the two not given function values in the triple cos(x), sin(x), tan(x)
cos(x)=-1/3, 3π
Click here to see answer by stanbon(75887)

Question 1029795: Factorize=
4x^2-4x 1
Click here to see answer by Reema Kumari(5)

Question 624426: find the smallest number multiplied by 3456 will make a perfect square?

Click here to see answer by Arfat Haider(1)

Question 1039970: A car at a certain speed travels 120 kilometers during the first part. On the second part, It reduces its speed by 10kph when it travels 100 kilometers. Find tge speed on each part of the part of the trip if the whole trip lasted 4 hours
Click here to see answer by jorel555(1290)

Question 1040101: In the expansion of (1+x)n, two times the coefficient of x5 is equal to the sum of the coefficient of x4 + x6. Find the possible values of n.
2(nC5) = nC4 + nC6 , find n
Click here to see answer by Boreal(15235)

Question 1040126: Dealing with rational expressions what would be the value of x for x-4/x-6 must be equal to zero
A.6
B.4
C.-6
D.-4
NEED ANSWER NOWWW IF POSSIBLE PLZ HELP
. THANKS
Click here to see answer by stanbon(75887)

Question 1040212: Please show me how to work this problem
Divide using long division. (x cubed -5x squared +7x-3) divided by (x-1)
I tried following there example for long divison and it was almost impossible to understand.
Click here to see answer by Fombitz(32388)

Question 1040243: If (ax-3)(bx+6)=24x^2+cx-18 for all values of x and a+b=10, what are two possible values for c?
A. 2 and 12
B. 6 and 24
C. 10 and 30
D. 16 and 30
Click here to see answer by josgarithmetic(39613)

Question 1040408: One number is 11 times larger than another. The difference of their reciprocals is 2. Determine the two numbers
Click here to see answer by josmiceli(19441)

Question 1040444: u+7/u-2 + 1 = u+5/u-3
Click here to see answer by ikleyn(52750)

Question 1040444: u+7/u-2 + 1 = u+5/u-3
Click here to see answer by ankor@dixie-net.com(22740)

Question 1040455: How would I solve this rational equation
x+6 over 3x-12
=
5 over x-4
+
2 over 3

Thank you
Click here to see answer by josgarithmetic(39613)

Question 1040457: Please help out with this problem:
Write your answer without using negative exponents.
Assume that all variables are positive real numbers.
(b^1/5 x c^-3/5)^3
Click here to see answer by Theo(13342)

Question 1040523: a 4 inch by 6 inch photo is glued on top of a mat that will increase the length of each side by another X inches. find the polynomial expression
Click here to see answer by josmiceli(19441)

Question 1040600: I am not understanding the long division of these if someone could please help. I have included what is expected.
Use the following polynomial functions to sketch the end behavior of the graph, state the zeros for the functions and the multiplicity of each zero, and determine the symmetry of each function.
f(x) = 2x3 + 3x2 � 8x � 12

Click here to see answer by Boreal(15235)

Question 1040602: I am not understanding the long division I have seen examples but not understanding how and where they are getting what to divide
7. Divide using synthetic division
(4x4 + 6x3 + 3x � 1)  (2x2 + 1)

Click here to see answer by josgarithmetic(39613)

Question 1040657: (x^2y-xy+x^2) + (2x^2+3xy-x^2 y) + (3x^2 -y^2 +x^2 y)

please help me perform the indicated operations on the polynomials expressions
Click here to see answer by Boreal(15235)

Question 1040659: subtract the sum of (1+5x^2-6x^3) and (14x^3-7x^2+2) from 5x^3+10
Click here to see answer by Fombitz(32388)

Question 1040663: what about this my friend can you help me perform and indicate operation of polynomials expression
subtract the sum of (1 + 5x^2 -6x^3) and (14x^3 -7x^2 + 2) from 5x^3 +10x
Click here to see answer by Boreal(15235)

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, 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