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

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


Question 600343: What is 2m^2+9m+7=3
Click here to see answer by jim_thompson5910(35256) About Me 
Question 600343: What is 2m^2+9m+7=3
Click here to see answer by w_parminder(53) About Me 

Question 600308: how to solve 12x squared minus 75
Click here to see answer by Alan3354(69443) About Me 

Question 600322: I need help solving a polynomial using synthetic division.
(4x^3-9ix^2+5x+(8-4i))/(x-i)
Thank You

Click here to see answer by Edwin McCravy(20054) About Me 

Question 600415: Evaluate the polynomial for x=-1
-4x^(3)+8x^(2)-9x-1
Simplify your answer.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 600468: Multiply . Simply if possible
1. (3a+2d) (c+5d)
2. (E-6f) (2q-3h)
3. (2x+5) (3x+3)

Click here to see answer by Alan3354(69443) About Me 

Question 600655: x^2+8X+16
Click here to see answer by jim_thompson5910(35256) About Me 

Question 600686: what are the coefficents of the given equation including any missing terms x^5-3x^4+3.5^2-16x
Click here to see answer by jim_thompson5910(35256) About Me 

Question 600707: I am having problems understanding my math home work. It says to Factor completely. Remember to look first for a common factor and to check by multiplying. If a Polynomial is prime,state this.
-36a^2 -96ab -64b^2
Can you show me how to work this problem step by step and then show me how to check it as well. I am a little lost on how to do this.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 600752: Simplify each rational expression. State any excluded values.
6-2x
____
2x-6
you factor out the top and bottom..
2(3-x)
_____
2(x-3)
is that the problem in simplest form? I'm not sure what the next step would be.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 600741: Referring to the figure, simplify the expression shown.
sqrt5 (6 sqrt2 - sqrt5)

Click here to see answer by Alan3354(69443) About Me 

Question 600761: Simplify each radical expression.
+sqrt+%28+243+%29+
i don't understand this at all..something to do with a factor tree? completely confused

Click here to see answer by jim_thompson5910(35256) About Me 

Question 600809: 20c8
Click here to see answer by stanbon(75887) About Me 

Question 600799: I can not understand how to factor trinomials in ax^2+bx+c format. I have been studying this for two weeks at school now. I understand the process, but I for some reason am horrible at this. Here is a problem I need help solving.
-4c^2+19c-21
I need to find the two numbers that equal the variable.

Click here to see answer by mananth(16946) About Me 

Question 601035: Find the midpoint between the two points: (2,2), (6,4)
this is as far as i get (6 - 2)^2 + (4 - 2)^2
4x4 + 2x2
16 + 4 = sqrt20
then i dont know what else to do. can somwone help finish the problem and tell me if i am doing it right

Click here to see answer by Alan3354(69443) About Me 
Question 601035: Find the midpoint between the two points: (2,2), (6,4)
this is as far as i get (6 - 2)^2 + (4 - 2)^2
4x4 + 2x2
16 + 4 = sqrt20
then i dont know what else to do. can somwone help finish the problem and tell me if i am doing it right

Click here to see answer by solver91311(24713) About Me 

Question 600952: Write the rational expression 7/2x^2-5x-3 as a sum of partial fractions.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 601063: Referring to the figure, find the sine of angle R.Reduce the answer to the lowest terms.
((there is a right triangle the top corner is an R, below that there is a 6 and below that there is a T, the hypothenuse is a 10, the far corner is a
S, the horizontal line has an 8)) i hope u understand my little figure.
R
| \
| \
6| \10
| \
|_ \
T|_|_____\S
8

Click here to see answer by jim_thompson5910(35256) About Me 

Question 601147: Referring to the figure, find the missing length x.
(im giong to try to do the figure, because i dont know how to put it here. it has a 45 degree angle. its a right triangle.)
|\
| \
| \
x| \
| \
|___45\
8

Click here to see answer by solver91311(24713) About Me 

Question 601249: what are factors of 9xsquared?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 601279: For what values of c will x^2+6x+c=0 have no real solutions?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 601395: simplify the expression shown.
sqrt5 (6 sqrt2 - sqrt5)

I have no idea how to do this, i have looked in my math book for examples or similar problems and i cant find anything that looks like it. i dont know if its a no solution problem or the problem is already in simplied form or something, i do online school so its not easy when i get stuck, its not like if i went to public school and asked the teacher for help in person. can someone help me with this problem please.

Click here to see answer by josmiceli(19441) About Me 

Question 601411: Solve the equation by completing the square: x^2 + 8x = 14
can someone help me please with this problem? i am having a really hard time trying to figure this out.

Click here to see answer by josmiceli(19441) About Me 

Question 601423: Answer to 6a^2-a-35
Click here to see answer by jim_thompson5910(35256) About Me 
Question 601423: Answer to 6a^2-a-35
Click here to see answer by Alan3354(69443) About Me 

Question 601418: Referring to the figure, find the missing length x. Round the answer to the nearest hundredths.
(i dont know how to put the figure but im going to try to make it,its a right triangle and has a 45 degree angle, i hope you understand it)

| \
| \
| \
| \x
| \
|_ \
|_|______\
8

Click here to see answer by jim_thompson5910(35256) About Me 

Question 601439: Find k if the remainder is 15 in (x^3-7x^2+kx+27)/(x-2)please show me step by step.
Click here to see answer by flame8855(424) About Me 

Question 601464: The length of an office is x feet and the width is x+2 feet. Write the polynimial that represents the area. Find the area if x = 12.
Click here to see answer by jim_thompson5910(35256) About Me 

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 Alan3354(69443) About Me 
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) About Me 

Question 601490: The area of a rectangular athletic field is represented by the expression -8y^9 - 32z^4 + 56x^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution.
The furthest I know is that a common factor is 8? Please help! Thank you!

Click here to see answer by Alan3354(69443) About Me 

Question 601492: find the factors of 4x2+13x+3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 601445: 6x^2/z^2-25 divided by x^7/(x+5)^2
Click here to see answer by unlockmath(1688) About Me 

Question 601636: Multiply.
(3x+9)(8x^2+6x+9)

Click here to see answer by unlockmath(1688) About Me 

Question 601651: 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 jim_thompson5910(35256) About Me 

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(20054) About Me 

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) About Me 

Question 601670: factor each expression
h to the second power+ 10h + 25

Click here to see answer by jim_thompson5910(35256) About Me 

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(35256) About Me 
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 Edwin McCravy(20054) About Me 
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 stanbon(75887) About Me 

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(69443) About Me 

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(69443) About Me 

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(75887) About Me 

Question 601991: I need to factor:
256x^4 - 16
thank you

Click here to see answer by scott8148(6628) 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, 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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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