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

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Question 201169: Pg 505
42. Find the x-intercepts of the parabola given by each equation.
y=x^2+6x+10

Click here to see answer by RAY100(1637)

Question 201187: Can someone please help me with this problem:
Write the rational exponent expression as an equivalent radical expression.
(5x)^1/5
Click here to see answer by jim_thompson5910(28503)

Question 201186: Can someone please help me with this:
Write the rational exponent expression as an equivalent radical expression.
(3x)^-1/3
Click here to see answer by Alan3354(30982)

Question 201226: Can someone please help me:
Determine whether the given ordered pair is a solution of the given equation.
x^2 + y^2 - 8x + 6y = -21; (4,-1)
a. no
b. yes
Click here to see answer by solver91311(16868)

Question 201224: Can someone please help me:
Write an equation in standard form for a line passing throught the pair of points.
(-2,-9) and (-10, -9)
a. -10x - 2y = 0
b. y = -9
c. -2x -10y = 0
d. x = -2
Click here to see answer by solver91311(16868)

Question 201235: Hello,
I need some help with factoring. The problem I am working on is the following:
Factor completely: 8x^2 + 6x - 5
I have another problem that I need help with as well. This one, I think is Prime, but am not totally sure.
Factor completely: x^2 + 17x+16
Any help that you can give will be greatly appreciated.
Thank you in advance for your help.
Click here to see answer by Alan3354(30982)

Question 201233: State the domain of the following and provide a brief explanation for your answer: m(x) = 5(/x^-9)
l(x) = 5x - 4
g(x) = (7x+4)/(x+4)
Click here to see answer by stanbon(57239)

Question 201247: Can someone please help me.
Write an equation in slope-intercept form of a line satisfying the given conditions.
Slope-5/7; y-intercept 60/7
Click here to see answer by rbkumar_msc(2)

Question 201250: Can someone please help me find an equation of the line sayisfying the given conditions.
Through (0,5);m=3/4
Click here to see answer by solver91311(16868)

Question 201245: Can someone please help me with this:
Determine whether the given ordered pair is a solution of the given equation.
x^2/4 + y^2/5 = 1; (1, -1)
a. yes
b. no
Click here to see answer by solver91311(16868)

Question 201265: How do you divide a Polynomial by a Monomial? Could you please explain step-by-step how it works?
Thank you.
Click here to see answer by solver91311(16868)

Question 201174: Pg 519
Given L(s)=s+1 and M(s)=s^3+1, determine M[L(s)].
Click here to see answer by solver91311(16868)

Question 201277: Please help! I have tried every way possible and cannot figure these out!
#70) b^4+13b^2+36=0

#30) -3x^2-2x-5=0

#42) 9m^2+16=24mn

Thank you in advance for your help!

Click here to see answer by vleith(2825)

Question 201279: how do you find the area and circumference of a circle?
Click here to see answer by vleith(2825)

Question 201298: multiply
(-2n)^2(3n^8)^2
Click here to see answer by vleith(2825)

Question 201294: (5a-4)=a+16/a+1
what is the solution
Click here to see answer by rfer(12646)

Question 201349: please help can you tell me if I'm doing this problem right
add 5/x + x/5 I came up with 25 + x^2/ 5x
Click here to see answer by jim_thompson5910(28503)

Question 201364: Write the equation y=2/3x-3 in standard form using only integers and a positive coefficient for x.
Click here to see answer by user_dude2008(1861)

Question 201366: 2/3x-1 - 1/x+1 = 0
Click here to see answer by user_dude2008(1861)

Question 201370: Solving the following equations, which shows the correct answer?
A) log10(0.1)=1
B) log16 2=4
C) log3 9=2
D) log5 125=25
Click here to see answer by user_dude2008(1861)

Question 201369: Find the opposite of the polynomial -2r^2-r+3
Click here to see answer by user_dude2008(1861)

Question 201367: I need help with this problem:
What is the value of k if
1/(x-2)(x+4)=h/(x-2)+k/(x+4)?
Answer choices: A.2, B.-4, C.-1/6, D.1/6, E.-2
What I have done so far is: multiply to create a common denominator, which leaves me with:
1=hx+kx+4h-2k
Is this correct so far?
If so, how do I continue, and if not, what should I have done instead?
Thanks for your help.
Click here to see answer by user_dude2008(1861)

Question 201362: Find the quotient and remainder for (x^4-2x^2+3) divided by (x+1)
Click here to see answer by RAY100(1637)

Question 201126: Can someone please help me with this problem:
Perform the indicated operations. Give the answer in lowest terms.
16x / 7(4x+1) - 1 / 7x(4x+1) + 3 / x
Click here to see answer by jsmallt9(3296)

Question 201377: Hello,
I need a little help please. I need to Factor Completely the following problem.
4x^2 + 20x - 96
Any help that you can give would be greatly appreciated.
Thank you in advance for your help.
Click here to see answer by jim_thompson5910(28503)

Question 201292: 1/x-2+6/x+2=-2x/x^2-4 the solution is x =
solve the following equation for the variable of x
Click here to see answer by Alan3354(30982)

Question 201399: x+3/x-1 = x+2/x-3

Click here to see answer by algebrapro18(206)

Question 201445: simplify 5x^2+25x/5x^2-125
Click here to see answer by jim_thompson5910(28503)

Question 201443: multiply x^2+4x-12/x^2+4x-32*X^2+10x+16/x^2+10x+24
Click here to see answer by jim_thompson5910(28503)

Question 201274: 2x/2x-3=?/8x^3-27

Click here to see answer by RAY100(1637)

Question 201384: How to solve this Multiplication of Rational Expression: ?
Click here to see answer by RAY100(1637)

Question 201486: Write each square as a trinomial
1. (n+5)^2
The answer is n^2+10n+25
I need help with figuring out how to actually do the problem.

Thank you very much
Click here to see answer by jim_thompson5910(28503)

Question 201521: m/5 + m
Click here to see answer by user_dude2008(1861)

Question 201522: x/2 = 5/x + 3
Click here to see answer by jim_thompson5910(28503)

Question 201576: I am trying to solve for x in the following equation;
97 = 100/(1 + x/2)
Can you please help
Click here to see answer by Alan3354(30982)

Question 201576: I am trying to solve for x in the following equation;
97 = 100/(1 + x/2)
Can you please help
Click here to see answer by Edwin McCravy(8881)

Question 201613: What is the largest four-digit number such that the second digit is one-fourth of the third digit, the third digit is twice the first digit, and the last digit is the same as the first digit?
Thank you!

Click here to see answer by RAY100(1637)

Question 201523: how do i solve this problem? -12m^3+38m^2-46m-20 \ -3m-1
Click here to see answer by jsmallt9(3296)

Question 201649: Hi! After two hours of trying to figure out this problem, I turn to you for help. Can you please see if you can help me? I'd really appreciate it.
Instructions: Factor the polynomial completely using substitution method.
( 2w – 3 )² - 2 (2w – 3 ) - 15 This is as far as I got.
Let a = 2w - 3
Factors of -15 are -3, 5 and -5, 3. So
(a² - 2a - 15
(a + 3 ) ( a - 5 )
a² + 3a + - 5a - 15
a² - 2a - 15
Replace a with 2w - 3 and you have ( 2w - 3 + 3 ) ( 2w - 3 - 5)
Now I am lost! I am ending up with 4w² and I don't want that! And the rest, I just can't figure out. If you can help, that would be super and I would be grateful. Thanks!
Click here to see answer by jim_thompson5910(28503)

Question 201659: Please help me to solve this equation:
1/3b - 3/4b > 1/6
So far, I found a common number.. and its 12. So i got 4/12b- 9/12b > ... and I don't know what to do from there.
Click here to see answer by solver91311(16868)

Question 201489: Simplify
3^wtimes3^5^-wtimes3
thank you
Click here to see answer by RAY100(1637)

Question 201668: IF ONE ROOT OF THE POLYNOMIAL
5x^2+13x+k
IS THE RECIPROCAL OF THE OTHER,THEN WHAT IS THE VALUE OF K
I WILL BE THANKFUL
PRIYAL
Click here to see answer by Alan3354(30982)

Question 201760: 5x-2/3x-3 - x/x-1
Click here to see answer by jsmallt9(3296)

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