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

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

Question 468499: add (13/10r)+(11/4r)
Click here to see answer by rfer(12657)

Question 468607: 2. Solve the following inequality and write your answer using interval notation. Please show all your work.
3/x-7>5/2x+3

can someone help me please??
Click here to see answer by jorel1380(2518)

Question 468613: My problem is: Find the domain. f(x) = x³ - 2 I have no clue as to how to solve this with exponents. Can you help me? thanks.
Click here to see answer by Edwin McCravy(8908)

Question 468608: 3. Use the remainder theorem to find the remainder when f(x) is divided by x-2 . Then use the factor theorem to determine whether x-2 is a factor of f(x). Please show all of your work.
f(x)=2x^6-4x^5+2x²+7x-6
please help me thank you.
Click here to see answer by lwsshak3(6494)

Question 468673: where do i start? Tell me what I did wrong
Solve
(y-1/y-4)=(3/y-4)is y =4 or 2,-2
Click here to see answer by Edwin McCravy(8908)

Question 468615: 5. Solve the following equation in the real number system. Please show all of your work.
x³-6x²-10x+12=0
Click here to see answer by lwsshak3(6494)

Question 468609: 4. List all possible (or potential) rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely over the real numbers. Please show all of your work.
f(x)=2x³+13x²+3x-5

I am no math wiz can you help me please? sincerely.
Click here to see answer by lwsshak3(6494)

Question 468602: 7. Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial.
Degree: 6
Zeros:-8+11πі,-7+17i,16-i√2
can someone help me please, thank you.
Click here to see answer by lwsshak3(6494)

Question 468711: simplify:
x2+7x+10
_______
x2-25
Click here to see answer by jorel1380(2518)

Question 468716: simplify:
16 with exponent of 3/4
Click here to see answer by rfer(12657)

Question 468717: 8. Find all complex zeros for the following polynomial function. Please show all of your work.
f(x)=x³-5x²+49x-245
I need some help can you help please? thank you.
Click here to see answer by ankor@dixie-net.com(15649)

Question 468748: i need to factor out 2ax-ay+2bx-by into the simplest form. Im not quite sure how to get that ay and by to be simplified without the 2.
Click here to see answer by mananth(12270)

Question 468700: Simplify by removing the factors of 1.
y^2-10y+21
_________
y^2+3y-18
Click here to see answer by ankor@dixie-net.com(15649)

Question 469043: (3xy - 1) (4xy + 2)

Click here to see answer by algebrahouse.com(1079)

Question 469059: multiply (2/5 t-1)(3/5 t+1)
Click here to see answer by jorel1380(2518)

Question 469068: Monomial Factors of Polynomials
w^6 xy^3-wx^4 y^2
I tired and this is the answer that I got
w^6 xy^3-(wx^4-y)
Thank you
Click here to see answer by algebrahouse.com(1079)

Question 469107: Write P(x)=x^4-7x^3+13x^2+3x-18 as the product of x-2 and its reduced polynomial.
a.(x-2)(x^3-9x^2+31x-59)
b.(x-2)(-7x^3+13x^2+3x+9)
c.(x-2)(x^3-5x^2+15x+5)
d.(x-2)(-9x^3+11x^2+x-20)
e.(x-2)(x^3-5x^2+3x+9)
Click here to see answer by Tatiana_Stebko(1326)

Question 469110: Find the zeros of the polynomial function below and state the multiplicity of each zero.
P(x)=(x+9)^2(x+5)
a.9(muliplicity 1),5(multiplicity 2)
b.-9(multiplicity 2),-5(mulitplicity 1)
c.9(multiplicity 2),-5(multiplicity 1)
d.-9(multiplicity 1),-5(multiplicity 2)
e.9(multiplicity 2),5(multiplicity 1)
Click here to see answer by Tatiana_Stebko(1326)

Question 469060: −(−6a3 + 0.2a2 − 7)
Simplify
Click here to see answer by Tatiana_Stebko(1326)

Question 469061: I need help dividing and simplifying this.
-12+3y/7 divided by 4y-16/49
Click here to see answer by Tatiana_Stebko(1326)

Question 469044: (a + b)(a^2 - ab + b^2)

Click here to see answer by Tatiana_Stebko(1326)

Question 469097: Use synthetic division to divide 5x^3-x^2-3x+1 by x+4
Click here to see answer by Theo(3458)

Question 469108: Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function P(x)=-2x^8-5x^5+9x^3-7.
a.can't be determined
b.down to far left,down to far right
c.down to far left,up to far right
d.up to far left,up to far right
e.up to far left,down to far right
Click here to see answer by stanbon(57307)

Question 469104: Use synthetic division and the factor theorem to determine whether or not x-5 is a factor of P(x)=x^3-x^2-x+1.
a. No, x-5 is not a factor
b. Yes, x-5 is a factor
Click here to see answer by stanbon(57307)

Question 469184: How to simplify b adding like terms. Write exponents negative

Click here to see answer by Alan3354(30993)

Question 469221: (w-25)(w+49) = 0
find solution set
Click here to see answer by Tatiana_Stebko(1326)

Question 469302: Expenses = x2 + 800
where x = the number of smartphones in thousands.
The revenue (also in thousands of dollars) generated in selling the same amount is given by the expression 100x. That is,
Revenue = 100x
Click here to see answer by solver91311(16877)

Question 469325: The area of the square is 81 square units. Find the length of a side. Can you explain this question?
Click here to see answer by jim_thompson5910(28593)

Question 469378: Expenses = x2 + 800
where x = the number of smartphones in thousands.
The revenue (also in thousands of dollars) generated in selling the same amount is given by the expression 100x. That is,
Revenue = 100x
Use the following knowledge to determine the profit by subtracting the expenses from the revenue:
a.Give a polynomial expression that can be used to compute the profit. Briefly explain how this was done.
b.Use the expression you just derived to compute the profit if 50,000 smartphones are sold. (Note: Remember that the profit is expressed in thousands of dollars, so a computed value of, say, 30 means $30,000.). Show the steps of the computation. After making the computation, interpret the results in real-life terms
Click here to see answer by jorel1380(2518)

Question 469401: How do you divide (3xsquare-4x+2)divided by (x-1)
Click here to see answer by Lexy2ola(5)

Question 469410: Use the remainder theorem to find P(7) for P(x)=7x^3-9x^2-4x+3
a.2,817
b.-1,929
c.121,593
d.2,811
e.1935
Click here to see answer by jim_thompson5910(28593)

Question 469505: Add the following: (3x^2 – 3x + 2) + (-5x^2 + 8x – 9)
Click here to see answer by Tatiana_Stebko(1326)

Question 469507: (6x^2 + x + 7) – (6x^2 – 4x – 5)
Click here to see answer by Tatiana_Stebko(1326)

Question 469506: Add the following: (6.1x^2 – 8.3x – 0.2) + (-7.8x^2 – 0.8x + 7.3)
Thanks
Click here to see answer by Tatiana_Stebko(1326)

Question 469503: Short Answer. State the degree of the given polynomial: 7x^5 – 4x^4 + 7x^2 – 6
Click here to see answer by Tatiana_Stebko(1326)

Question 469515: State the degree of the following polynomial: 5x^3y^2 + 2xy – 6y
Click here to see answer by Tatiana_Stebko(1326)

Question 469520: difference: (2x3 – 2x2 + 3) – (-3x2 + x + 4)
Click here to see answer by Tatiana_Stebko(1326)

Question 469553: (y^3-3y^2)/(y^2+2y-15)=(13y-40)/(y+5)
Click here to see answer by ewatrrr(10682)

Question 469574: 1.what is the degree of each term of the polynomial and the degree of the polynomial -8x^3 +5x^2 +2x +2.
Click here to see answer by Tatiana_Stebko(1326)

Question 469650: what is the least common denominator (x-4)/(5x^(2)-14x-3)-(2x)/(10x^(2)-3x-1)+(7x-2)/(2x^(2)-7x+3)
Click here to see answer by ewatrrr(10682)

Question 469720: i dont understand how to put this in interval notation. (x^2+2x-8/x+1) less than or equal to 0.
i get to x=-4 x=2 x=-1 just need help putting it in interval notation. thanks!
Click here to see answer by ccs2011(207)

Question 469784: Describe the mathematic process of canceling like factors when working with rational expressions & demonstrate this with an example.
Click here to see answer by ccs2011(207)

Question 469868: Can you show me the steps for this problem?
sqrt 25 + sqrt 144 =
Click here to see answer by sofiyac(695)

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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