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

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

Question 601656: help?
Factor completely. If a polynomial is prime, state this
−70a^4 + 68a^3 − 16a^2
Click here to see answer by Edwin McCravy(8879)

Question 601647: can somebody check this? I've fixed it once but my instructor says it is still wrong.
Factor Completely. If a polynomial is prime, state this.
-2a^2(35a^2 + 34a - 8)
-2a^2(35a + 14a + 20a - 8)
-2a^2(7a(5a -2) + 4(5a -2))
-2a^2(5a - 2)(7a +4)
He says that the signs are wrong and the factorization is as well?
Click here to see answer by veronica1289(7)

Question 601670: factor each expression
h to the second power+ 10h + 25
Click here to see answer by jim_thompson5910(28476)

Question 601695: Please help. I am confusing myself more every time I try to work this.
Factor the following expression completely:
12y5 – 34xy4 + 14x2y3
Also, if you could please tell me if I answered this right I would appreciate it.
Question: Andrew factored the expression 24x^3 – 8x^2 – 32x as 8x(3x^3 – x^2 -4x) . But when Melissa applied the distributive law and multiplied out 8x(3x^3 – x^2 – 4x), she got 24x^4 – 8x^3 – 32x; thus, Andrew’s solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.
Answer:Since Andrew stared his factoring with 8x he should have reduced the quotent inside the parenthesis by 1. Also Melissa should have gotten 24x^4 - 8x^3 - 34x^2. The correct answer should have been 8(3x^3 - x^2 = 4x) this would have checked to the beginning expression.
Thank you in advance!
Click here to see answer by jim_thompson5910(28476)

Question 601713: Can someone please check my work? Thank you
Question: Multiply
x – 2
by
-5x2 – 3x – 4
Answer:
(x – 2)(-5x^2 – 3x – 4 )
= 5x^3 - 3x^2 - 4x + 10x^2 + 6x + 8
= 5x^3 - 3x^2 + 10x^2 - 4x + 6x + 8
= 5x^3 + 8x^2 + 2x + 8
Question: Subtract.
(4n6 – 7n5 + 5) – (9n6 – n5 + 8)
Answer:
4n^6 - 7n^5 + 5 - 9n^6 + n^5 - 8
= (4 -9)n^6 + (7 - 1)n^5 - 3
=(-5) n^6 + (-6)n^5 - 3
= -5n^6 - 6n^5 -3

Click here to see answer by Alan3354(30924)

Question 601702: Can someone help me solve these and show all work. I am trying to learn algebra but not doing very good I don't think. I confuse myself more than anything. I can usually get the answers but showing how I got it is another story all together,
1. Solve x^2 = 3x + 5
2. V=3.5√h,for h
(Distance to horizon from a height)
Thank you all for your help.

Click here to see answer by Alan3354(30924)

Question 601396: Form a polynomial whosezeros and degrees are given.
Zeros:-3,-2,3; degree 3
A)f(x)=x^3-2x^2-9x+18 for a= 1
B)f(x)=x^3+2x^2-9x-18 for a= 1
C)f(x)=x^3-2x^2+9x-18 for a= 1
D)f(x)=x^3+2x^2+9x+18 for a= 1
Click here to see answer by w_parminder(53)

Question 601854: short answer. state the degree of the given polynomial -x^9+2x^6-5x^2-6
Click here to see answer by stanbon(57203)

Question 601991: I need to factor:
256x^4 - 16
thank you
Click here to see answer by scott8148(6628)

Question 602049: 2ysqured+7y+3=
Click here to see answer by scott8148(6628)

Question 602132: Simplify the following quotient of complex numbers into the form a + bi.
-9+2i/-8-(9i)=
I have no idea where to start~ Please help!

Click here to see answer by jim_thompson5910(28476)

Question 602354: Solve.
2/3 + 1/2 = 1/x
A. The solution is x = _.
B. There is no solution.
Click here to see answer by scott8148(6628)

Question 602416: How do i solve (3x-6)(2x+3)=0
Click here to see answer by solver91311(16868)

Question 602515: How would you solve 16x^2-36 ?
Click here to see answer by jim_thompson5910(28476)

Question 602526: What is the solution set of the equation x^2+2x-15=0?

thanks for your help.
Click here to see answer by jim_thompson5910(28476)

Question 602540: How do I do the foil method on the following:
(7x^3+5) (x^2+2)
Click here to see answer by jim_thompson5910(28476)

Question 602561: 3x (to the 2nd) + 10X - 8

Click here to see answer by jim_thompson5910(28476)

Question 602574: Name the coefficient (s) in the following expressions:
1. 12s + 4t
2. 46rs + 10x
3. 12q + 14x
4. 10x + 10y
5. 17rs + 32x
6. 5x + 7y – 12z
7. 36ab + 70m
8. 3r + 19a + 10m
9. 7k + 16m
10. 8r + 5s
11. 9h + 120m
12. 12k + m
13. 7g + 15h + w
14. 4c – 8d + 12f
15. 6t + 17r – 35j

Click here to see answer by Alan3354(30924)

Question 602606: How do you factor the expression: 9x^2-54 ?
I'm confused because 9 is a perfect square, but 54 is not. Is it just unfactorable?
Click here to see answer by jim_thompson5910(28476)

Question 602611: I'm trying to remember a trick to switch around the denominator of the second part of this so it is the same as the first. I think it involves changing a sign somewhere but I can't figure it out. Please help.
Click here to see answer by jim_thompson5910(28476)

Question 602706: Hello, i need help factoring trinomials where a>1 problem is:
4n^2 - 15n - 25
I dont understand how if the factors of -25 are meant to = - 15 how to do this
Thank you
Click here to see answer by Rcmathtutor(12)

Question 602701: greatest common divisor of 36 and 108

Click here to see answer by rfer(12644)

Question 602817: simplify each monomial
a. (2x^2y)(3xy^3)
b. (4ab^3)^2
Thank you.
Click here to see answer by flame8855(424)

Question 602811: 10m^2-23m+12=0 It says to find the solution set.
Click here to see answer by flame8855(424)

Question 602823: Find the remaining factors of 2x^3-15x^2-2x+120 if 2x+5 is one of the factors.
Please show me the steps.
A.x-3,x-8
B.x+3,x+8
c.x+6,x+4
D.x-12,x-2
E.none of these
Click here to see answer by richwmiller(9132)

Question 602865: What is the answer when you completely factor the trinomail 2s^2+3s+1
Click here to see answer by Alan3354(30924)

Question 602857: How do you factor the following two polynomial equations:
x cubed + 2x squared - 5x - 6 = 0
3x cubed -2x squared - 75x + 50 = 0
I really appreciate any help I can get.
Thank you,
Jen Zinter
Click here to see answer by scott8148(6628)

Question 602899: factor 9x^2 +73x +8
Click here to see answer by Alan3354(30924)

Question 602931: If r-1, r, and r+1 are sides of a triangle then which statement cannot be true
A. r>3 B.r≤3 C.r<4 D.r≤2 E.none of these
Click here to see answer by scott8148(6628)

Question 602955: I need help please.
It is a velocity problem:
An aviator is timed going both directions over a 90 mile course. The time eastward, with the wind, is 24 minutes and westward, against the wind, is 30 minutes. Find the velocity of the wind in miles per hour.
Thank you in advance for your help.
Click here to see answer by scott8148(6628)

Question 602988: which of the following expressions represents the product of 4 more than twice x and six less than x
Click here to see answer by ewatrrr(10682)

Question 602990: I need help solving / dividing this polynomial. I know the answer, but I need the step by step operations. I am stumped and am positive that I just forgot something.
(-6x^3-5x^2+10x+25) ÷ (3x-5)
or
(-6x^3-5x^2+10x+25)
___________________
(3x-5)
The answer is -2x^2-5x-5
Click here to see answer by ewatrrr(10682)

Question 602930: If 2x^2y=2xy^2 then which is true for all values of x and y ? Please show me the steps
A. x=y B.x=2y C.y=2x D.x=0, y=0 E.none of these
Click here to see answer by ankor@dixie-net.com(15622)

Question 603140: what is 5x squared minus 5
Click here to see answer by Alan3354(30924)

Question 602929: Write a quadratic equation with integer coefficients and roots -2/3 and 1 ¾
Please show me the steps.
A. 14x^2+13x-12=0 B.14x^2-13x-12=0 C. 12x^2-13x-14 D. 12x^2+13x-14
E.none of these.
Click here to see answer by ankor@dixie-net.com(15622)

Question 603129: Which of the following expressions below represents the product of 3 less than twice x and 2 more than the quantity 3 times x? I also need to see what work you did to get the correct answer.
Thanks,
_________________________
A. -6xsquared + 25x + 6
B. 6xsquared + 5x +6
C. 6xsquared - 5x + 6
D. 6xsquared - 5x - 6
E. 6xsquared - 13x - 6
Click here to see answer by ankor@dixie-net.com(15622)

Question 603206: I don't know how to solve for the area of a triangle with a height of 5xsqrt and a base of 10x to the sixth power.
Click here to see answer by KMST(1852)

Question 603260: If x^2+xy+y^2=p and x^2-xy+y^2=q, find (x-y)^2 in terms of pq.Please show me step by step.
Click here to see answer by htmentor(788)

Question 603295: How do you factor second degree polynomials? Then how do you know if it's addition or subtraction?
x^2-18x+45=
Click here to see answer by lynnlo(4155)

Question 603295: How do you factor second degree polynomials? Then how do you know if it's addition or subtraction?
x^2-18x+45=
Click here to see answer by Edwin McCravy(8879)

Question 603175: A rectangular swimming pool with a deck 5 feet wide is enclosed by a fence. The surface area of the pool is 572 square feet and the total area inclosed by the fence (including the pool and the deck) is 1,152 square feet. Find the dimensions of the pool.Pool is 5 foot away from all four sides.
Click here to see answer by ankor@dixie-net.com(15622)

Question 603320: what cubic polynomial has zeros at x=1 x=-2 x=2 and a y intercept of 2
Click here to see answer by ewatrrr(10682)

Question 603314: what cubic polynomial has zeros x=1 x=2 x=-2 and a y intercept of 2
Click here to see answer by ewatrrr(10682)

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