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

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Question 396150: Add. Simplify if possible.
%284t%29%2F%28t%5E2-1%29%2B%28t%29%2F%28t-1%29

Click here to see answer by CharlesG2(828) About Me 

Question 396136: Solve.
v%5E2-7v-30=0
The solution is v=_____.
(Use a comma to separate answers as needed.)
ANSWER I GOT: 10, -3
AM I RIGHT??

Click here to see answer by CharlesG2(828) About Me 

Question 396190: I did the following problem by synthetic division. Since this problem is rather llloooonnnngggg, I decided I need to have someone double check this. Could a tutor please look this over and tell me if I've done this correctly? I would greatly appreciate it! Thx! Here is the problem:
x^7+x^5-10x^3+12/ (x+2)
Since the divisor isn't in "x-c" form, I had to alter that. Also, lots of terms were missing in this problem, so I had to alter that, too. (That is what made this problem looonnnggg!) After I altered it, the problem looked like this:
x^7+0x^6+x^5+0x^4-10x^3+0x^2+0x+12 / (x-(-2))
My synthetic division went like this:
-2_| 1 0 1 0 -10 0 0 12
-2 4 -10 20 -20 40 -80
_____________________________________
1 -2 5 -10 10 -20 40 -68 as remainder
So my answer is:
x^6-2x^5+5x^4-10x^3+10x^2-20x+40-68/(x-(-2))


YIKES!! Ok, is this correct, or do I need to go back to the drawing board with this? Any help would be welcomed!!! Thank you!!

Click here to see answer by jim_thompson5910(28593) About Me 
Question 396190: I did the following problem by synthetic division. Since this problem is rather llloooonnnngggg, I decided I need to have someone double check this. Could a tutor please look this over and tell me if I've done this correctly? I would greatly appreciate it! Thx! Here is the problem:
x^7+x^5-10x^3+12/ (x+2)
Since the divisor isn't in "x-c" form, I had to alter that. Also, lots of terms were missing in this problem, so I had to alter that, too. (That is what made this problem looonnnggg!) After I altered it, the problem looked like this:
x^7+0x^6+x^5+0x^4-10x^3+0x^2+0x+12 / (x-(-2))
My synthetic division went like this:
-2_| 1 0 1 0 -10 0 0 12
-2 4 -10 20 -20 40 -80
_____________________________________
1 -2 5 -10 10 -20 40 -68 as remainder
So my answer is:
x^6-2x^5+5x^4-10x^3+10x^2-20x+40-68/(x-(-2))


YIKES!! Ok, is this correct, or do I need to go back to the drawing board with this? Any help would be welcomed!!! Thank you!!

Click here to see answer by CharlesG2(828) About Me 

Question 396131: I am trying to make sure I have the right answer. The problem states I have to solve this problem:
v%5E2%2B3v-28=0
The solutions(s) is/are v=_____.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each solution only once.)
ANSWER I GOT: v=4, -7

Click here to see answer by ewatrrr(10682) About Me 

Question 396145: Subtract. Simplify, if possible.
%287-x%29%2F%28x-3%29-%282x-9%29%2F%283-x%29

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 396223: find all real numbers for which the following rational expression is undefined. if defined foe all real numbers, so state.
(4x+7)/(3x^3-5x^2-2x)
please help me! in so lost....

Click here to see answer by ewatrrr(10682) About Me 

Question 396247: Can someone please help me with this problem?
1/y=2/y-1/5

Click here to see answer by Alan3354(30993) About Me 

Question 396337: I have a question on how to "Factor Polynomials", here is one problem from my homework that I need help with: Find the GCF and the LCM of the following monomials:
49x cubed, 35x squared y

Click here to see answer by stanbon(57323) About Me 

Question 396351: what is the area of a square is the width is 5.5 cm?
Click here to see answer by rfer(12657) About Me 

Question 396434: (2x) to the negative 3 power

Click here to see answer by rfer(12657) About Me 
Question 396434: (2x) to the negative 3 power

Click here to see answer by Alan3354(30993) About Me 

Question 396466: How do I solve this problem: 4√(81^4)
Click here to see answer by edjones(7569) About Me 

Question 396457: I need to find all the imaginary solutions of the equation by factoring.
x^4+14x^2-32=0
I can not get this problem, please help

Click here to see answer by richard1234(5390) About Me 

Question 396497: well? please answer my?

Click here to see answer by Alan3354(30993) About Me 

Question 396495: this is a division problem xsquared+7x+12 by x+3=

Click here to see answer by rfer(12657) About Me 

Question 396423: Factor the polynomial: 5x to the 4th power-40xy to the 3rd power
5x to the 4th- 5*x*x*x*x
40xy cubed- 2*2*2*5*x*y*y*y
I'm seriously confused. Please help. I'm really lost on the steps. Thank you.
Meghan White

Click here to see answer by rfer(12657) About Me 

Question 396823: 10cm^3 of a normal speciman of human blood contains 1.2g of hemoglobin. How many grams does 39cm^3 of the same blood contain?
Click here to see answer by ewatrrr(10682) About Me 

Question 396886: The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travels 300 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train.
Click here to see answer by stanbon(57323) About Me 

Question 396980: Simplify
(a-b)(a^3+a^2b+ab^2+b^3)

Click here to see answer by MathLover1(6627) About Me 

Question 396976: Simplify
(x^n+1)(x^n-1)

Click here to see answer by Alan3354(30993) About Me 

Question 397040: Find a polynomial f(x) of degree 4 that has the following zeros.
-8,0,7,-6
Leave your answer in factored form.

Click here to see answer by richard1234(5390) About Me 

Question 397085: Multiply.
%28s%2Bd%29%28s%5E2-sd%2Bd%5E2%29
Simplify your answer.

Click here to see answer by user_dude2008(1861) About Me 

Question 397083: Solve.
4x%5E4-16x%5E2%2B15=0
The solution is x=____.
(Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed.)

Click here to see answer by robertb(4012) About Me 

Question 397102: Subtract the polynomials.
%28-7a%5E2%2B7a%2B3%29-%287a%5E2%2B3%29
Simplify your answer.

Click here to see answer by robertb(4012) About Me 

Question 397107: Factor the trinomial.
c%5E3-5c%5E2-24c
Factor completely.

Click here to see answer by robertb(4012) About Me 

Question 397156: if you subtract a number from four times its square, the result is three
Click here to see answer by jim_thompson5910(28593) About Me 

Question 397298: Solve the quadratic equation 2x^2-8x-3=0 by completing the square.

Write the expression as a single logarithm.
3[logx+2logy]-log(x-5)

Click here to see answer by stanbon(57323) About Me 

Question 397255: Solve for x.
4x%28x-9%29-5x%28x-8%29=-5
x=____
Simplify your answer. Use a comma to separate answers as needed.

Click here to see answer by MathLover1(6627) About Me 

Question 397312: Find the zeros of the function, state the multitplicity of multiple zeros: y=12x^3-12x.
Click here to see answer by ewatrrr(10682) About Me 

Question 397336: I need to factor this trinomial completely, I thinks it is "not factorable" using integers but I want to be sure.
8t^2 - 3t - 4
Thanks in advance!

Click here to see answer by jim_thompson5910(28593) About Me 

Question 397546: Hi! I appreciate your help! Just need to know if I am correct. THank you.
Subtract and simplify if possible.
9/ 7y^2-7y - 7/ 7y-7 = After its all factored out, my answer is 9-7y/ 7y(y-1).

Click here to see answer by solver91311(16877) About Me 

Question 397532: PLEASE HELP. Appreciate it!
Multiply and simplify.
8 x^7/ 7q^4 . 49q^7/ 64x =
392 x^7 q^7/ 448 xq^4. This is as far as I got.

Click here to see answer by MathLover1(6627) About Me 

Question 397664: 3p^2-2p-5
2n^2+3-9

Click here to see answer by Alan3354(30993) About Me 

Question 397404: what do the sign mean (^) in this equation L=2.43*44^0.3326? is it a square or do I divide
Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 397680: Solve: w+3/w∧2-1 - 2w/w-1=1
Click here to see answer by 90887896(4) About Me 

Question 397683: How Can I find the quotient and the residue by using synthetic division??
%28x%5E5-2x%5E4%2Bx%5E3%2B3x%5E2%2Bx-2%29%29/%28x%5E2-1%29
I have tried but I cant figure out a way x^2 can go into x^5.... Please help!

Click here to see answer by richard1234(5390) About Me 

Question 397710: Here is a word problem I am having difficulty getting started on. I don't have an example in my book to help.
A population of deer in a state forest was rapidly decreasing due to over-hunting. To prevent further population decline, lawmakers enacted hunting restrictions. A biologist studying the deer found that, with the hunting restrictions in effect,t he growth of the deer population could be modeled by
N= 0.6x^4-20x^3+225x^2-950x+2300
where N represents the number of deer and x represents the number of years the restrictions are in effect. Using this model, estimate what the deer population would be if the hunting restrictions were kept in effect for 15 years.

Click here to see answer by stanbon(57323) About Me 
Question 397710: Here is a word problem I am having difficulty getting started on. I don't have an example in my book to help.
A population of deer in a state forest was rapidly decreasing due to over-hunting. To prevent further population decline, lawmakers enacted hunting restrictions. A biologist studying the deer found that, with the hunting restrictions in effect,t he growth of the deer population could be modeled by
N= 0.6x^4-20x^3+225x^2-950x+2300
where N represents the number of deer and x represents the number of years the restrictions are in effect. Using this model, estimate what the deer population would be if the hunting restrictions were kept in effect for 15 years.

Click here to see answer by richard1234(5390) About Me 

Question 397761: For all r Doesnt = plus or minus 2, (r^2-5r+6)/(r^2-4) = ?

Click here to see answer by robertb(4012) About Me 

Question 397799: Solve.
x%5E2%2B14x-4=0
A. The solution is x= ____. <--Simplify your answer.
B. There is no solution.

Click here to see answer by richard1234(5390) About Me 

Question 397804: Use rational exponents to write

as a single radical expression.
A. root%2848%2C+xyz%29
B. root%2812%2C+%28xyz%29%5E11%29%29
C. root%2812%2C+%28x%5E2%29%28y%5E6%29%28z%5E3%29%29
D. root%2812%2C+xyz%29

Click here to see answer by Edwin McCravy(8908) About Me 

Question 397835: A rectangle has an area given by A = x^2 + 5x + 6
Find an expression for the possible width of the rectangle.

Click here to see answer by stanbon(57323) About Me 

Question 397834: A rectangle has an area given by A = x^2 + 5x + 6
Find an expression for the possible length of the rectangle.

Click here to see answer by stanbon(57323) About Me 

Question 397833: Factor the expression: x^2 - 7x + 10
Click here to see answer by josmiceli(9671) About Me 

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