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

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Question 335335: A goldsmith has two alloys that are different purities of gold. The first three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-ounce mixture that is two-thirds pure gold?
Click here to see answer by nyc_function(2733) About Me 

Question 336150: The problem is factoring polynomials
a^2-10a+24
and
3x^2+18x+27
Thanks!

Click here to see answer by jim_thompson5910(28704) About Me 

Question 336182: Rational Expressions
Find all numbers for which the rational expression is undefined:
- 4/3x
Is there a solution, set of solutions or all real numbers are undefined?
If there is a solution or solutions, what are they?

Thanks in advance.

Click here to see answer by jim_thompson5910(28704) About Me 

Question 336195: Rational expression:
q+7/q = -8
(reads q + 7 over q = -8)
What is the solution?
Thanks in advance.

Click here to see answer by stanbon(57956) About Me 

Question 336193: Rational expressions:
w/6 - w/15 = 1/6 (written out) (w over 6 - w over 15 = 1 over 6)
What is the solution?
Thanks in advance.

Click here to see answer by jsmallt9(3296) About Me 

Question 336341: x^3+7x^2-8x-56
Click here to see answer by jim_thompson5910(28704) About Me 

Question 336539: 20x^2-41x+20=
Click here to see answer by jim_thompson5910(28704) About Me 

Question 336611: Choose the correct simplification of the expression . g to the 5th power h to the 4th power divide by g to the 2nd power h to the 3rd power?
A: g to the 7th power h.
B: g to the 3rd power h.
C: g to the 7th power h to the 7th power.
D: g to the 3rd power divided by g to the 7th power.






Click here to see answer by edjones(7569) About Me 

Question 336612: 9 divided by h^-3?
A: h^3 divided by 9
B: 9 divided by h^3
C: 9h^3
D: already simplified?

Click here to see answer by Fombitz(13828) About Me 

Question 336614: what is the product of the sum and the difference of two numbers equal the difference of their squares expressed algebraically?
Click here to see answer by Fombitz(13828) About Me 
Question 336614: what is the product of the sum and the difference of two numbers equal the difference of their squares expressed algebraically?
Click here to see answer by edjones(7569) About Me 

Question 336633: Solve x^2=8, where X is a real number
Thank you!

Click here to see answer by edjones(7569) About Me 

Question 336543: Solve for x.
(x^4) * 3(x-1)^2 + (x-1)^3 * 4x^3 = 0

Click here to see answer by Fombitz(13828) About Me 

Question 336618: Part 1:
Show the expanded form and simplification of x^4 divided by x^2 Explain in your own words how you can simplify x^4 divided by x^2 without having to write the expanded form.
Part 2:
Create your own fraction with like bases, coefficients, and show its simplification.

Click here to see answer by jim_thompson5910(28704) About Me 

Question 335873: what is the reducing rational expression of 2y+1/y^2-y-6
Click here to see answer by Fombitz(13828) About Me 

Question 336700: Reduce to lowest term
a^2 - b^2
a - b

Click here to see answer by Fombitz(13828) About Me 

Question 336695: Which number cannot be used in place of the variablein each rational express
2y + 1
y^2-y-6e

Click here to see answer by vleith(2825) About Me 

Question 336721: What is the factorization of 20xsquared+27x-8
Click here to see answer by Fombitz(13828) About Me 
Question 336721: What is the factorization of 20xsquared+27x-8
Click here to see answer by jim_thompson5910(28704) About Me 

Question 336734: q(x) = x4 – 10x2 + 9 8.5 When I asked my teacher. She said to factor, try substituting y = x2 to create q(y); substitute back in so you have q(x) again, and then keep factoring—you should have four factors when done. I have to solve then graph. Thanks for your help
Click here to see answer by Fombitz(13828) About Me 

Question 336745: How can i simplify this? I'm working with rational expressions. Those are the exponents above the X.
3/4 2/3
X + X (Y)
__________
1/4
X


Click here to see answer by Fombitz(13828) About Me 

Question 336804: Can you please help me factor this polynomial?
8x^2 + 16x +12 thank you!

Click here to see answer by jim_thompson5910(28704) About Me 

Question 336806: An irrational number is a real number within a radical sign. Is that sometimes,always, or never? Explain.
Click here to see answer by jim_thompson5910(28704) About Me 

Question 336882: How do I represent the product of 3 less than twice x and 2 more than the quantity 3 times x as an expression?
Click here to see answer by rfer(12727) About Me 

Question 336871: how many hundred thousands ar in 200,000?
Click here to see answer by rfer(12727) About Me 

Question 336887: HEY, MY NAME IS KWAISHAWN AND I'M TAKING ALGEBRA 2. TODAY, I HAVE HOMEWORK AND I RAN INTO A PROBLEM. NOW I KINDA UNDERSTAND IT BUT NOT AS GOOD AS I WANT TO BE. (YOU KNOW WHAT I MEAN) TOMORROW, WE ARE GOING TO HAVE A QUIZ AND I NEED TO BE ON MY A-GAME. SO HERE THE PROBLEM AND CAN YOU PLEASE EXPLAIN IT SO I CAN GET A BETTER UNDERSTANDING. THANKS! DIRECTIONS: FACTOR COMPLETELY.
8X SQUARED PLUS 8XY PLUS 8XZ PLUS 3X PLUS 3Y PLUS 3Z
I KNOW YOU WON'T BE ABLE TO SHOW ME TONIGHT, BUT I WILL APPRECIATE IF YOU GIVE IT TO ME AS SOON AS POSSIBLE BECAUSE TEST IS ON FRIDAY AND GIRL GOT TO ACE IT.

Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 336901: ok so i have problems with math all the time..im negative.. and i was doing good eariler when my teacher was right next to me.. but now i forgot everything!!
im factoring polynomials and this question im just so very lost..
2a^2x^2 - 6a^2x +4ax

Click here to see answer by tinbar(128) About Me 

Question 336963: Find all points having an y-coordinate of -3 whose distance from the point (1,2) is 13.
Click here to see answer by stanbon(57956) About Me 

Question 336981: Hi, my name is Whitney and I have the answer to my math question, I just can't figure out how to get there. Here's the problem:
%284%29%2F%283-x%29+%2B+%282x%29%2F%28x-3%29
I understand that I need to find the least common denominator so I multiply (4)/(3-x) by (x-3)/(x-3) and (2x)/(x-3) by (3-x)/(3-x), after that, I am missing something. I end up with 2(5x-6-x^2)/(3-x)(x-3) and I don't see any way to factor it further. I am clearly wrong since the answer is suppose to be 2(x-2)/(x-3). Any help and explanation of what I'm not getting would be very appreciated.

Click here to see answer by mananth(12270) About Me 
Question 336981: Hi, my name is Whitney and I have the answer to my math question, I just can't figure out how to get there. Here's the problem:
%284%29%2F%283-x%29+%2B+%282x%29%2F%28x-3%29
I understand that I need to find the least common denominator so I multiply (4)/(3-x) by (x-3)/(x-3) and (2x)/(x-3) by (3-x)/(3-x), after that, I am missing something. I end up with 2(5x-6-x^2)/(3-x)(x-3) and I don't see any way to factor it further. I am clearly wrong since the answer is suppose to be 2(x-2)/(x-3). Any help and explanation of what I'm not getting would be very appreciated.

Click here to see answer by Alan3354(31510) About Me 
Question 336981: Hi, my name is Whitney and I have the answer to my math question, I just can't figure out how to get there. Here's the problem:
%284%29%2F%283-x%29+%2B+%282x%29%2F%28x-3%29
I understand that I need to find the least common denominator so I multiply (4)/(3-x) by (x-3)/(x-3) and (2x)/(x-3) by (3-x)/(3-x), after that, I am missing something. I end up with 2(5x-6-x^2)/(3-x)(x-3) and I don't see any way to factor it further. I am clearly wrong since the answer is suppose to be 2(x-2)/(x-3). Any help and explanation of what I'm not getting would be very appreciated.

Click here to see answer by Earlsdon(6294) About Me 

Question 337044: Can you help me solve this? x/2 + 1 = x/4
Click here to see answer by nyc_function(2733) About Me 

Question 337081: (x-2) is factor of x2-4x+4 and x2+x-6?
Click here to see answer by Fombitz(13828) About Me 

Question 337138: Choose the correct simplification of x^2 divided by x^6
A: x^4
B: 1 divided by x^4
C: x^8
D: 1 divided by x^8

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

Question 337140: Choose the correct simplification of (2x^3 + x^2 − 4x) − (9x^3 − 3x^2).
I think the answer is A but im not so sure
A: 11x^3 − 2x^2 − 4x
B: −7x^3 + 4x^2 − 4x
C: −2x^3 − 2x^2 − 4x
D: −7x^3 − 4x^2 − 4x

Click here to see answer by CharlesG2(828) About Me 
Question 337140: Choose the correct simplification of (2x^3 + x^2 − 4x) − (9x^3 − 3x^2).
I think the answer is A but im not so sure
A: 11x^3 − 2x^2 − 4x
B: −7x^3 + 4x^2 − 4x
C: −2x^3 − 2x^2 − 4x
D: −7x^3 − 4x^2 − 4x

Click here to see answer by Edwin McCravy(8999) About Me 

Question 337135: Choose the correct classification of 3x^4 − 9x^3 − 3x^2 + 6.
A: 5th degree polynomial
B: 4th degree polynomial
C: 9th degree polynomial
D: 24th degree polynomial


Click here to see answer by jim_thompson5910(28704) About Me 

Question 337154: Choose the correct simplification of x^9y^14 divided by x^2y^9
i think the answer is a...
A: x^11y^23
B: x^12y^12
C: x^7y^5
D: x^18y^16

Click here to see answer by jim_thompson5910(28704) About Me 

Question 337158: Part 1: Explain, in complete sentences, what it means to write a polynomial in standard form.
Part 2: Provide an example of a 4-term polynomial, not in standard form, and explain how to rewrite it in standard form...
I DONT KNOW HOW TO DO POLYNOMIALS IN STANDARD FORM

Click here to see answer by CharlesG2(828) About Me 
Question 337158: Part 1: Explain, in complete sentences, what it means to write a polynomial in standard form.
Part 2: Provide an example of a 4-term polynomial, not in standard form, and explain how to rewrite it in standard form...
I DONT KNOW HOW TO DO POLYNOMIALS IN STANDARD FORM

Click here to see answer by solver91311(17075) About Me 

Question 337166: please help me solve this equation:x to the third power +4x square-3x-12
Click here to see answer by nerdybill(7003) About Me 
Question 337166: please help me solve this equation:x to the third power +4x square-3x-12
Click here to see answer by stanbon(57956) About Me 

Question 337174: Please help me to solve these problems step by step. Thank You.
(3a+2b)cube
and
(3-a)cube

Click here to see answer by stanbon(57956) About Me 

Question 337121: Find the exact solution(s) of the system: x^2/4 - y^2 = 1 and x = y^2 + 1
a. (4, sqrt3), (4, -sqrt3), (-4, sqrt3), (-4, -sqrt3)
b. (4, sqrt3), (-4, sqrt3),
c. (2,1), (2, -1), (4, sqrt3), (4, -sqrt3)
d. (4, sqrt3), (4, -sqrt3)

Click here to see answer by Fombitz(13828) About Me 

Question 337147: Choose the correct simplification of (2a^2 + 7a − 3) + (4a^2 − 3).
I think the answer is c but im not sure
A: 6a^2 + 7a
B: −2a^2 + 7a − 6
C: −2a^2 + 7a
D: 6a^2 + 7a − 6

Click here to see answer by Fombitz(13828) 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, 29836..29880, 29881..29925, 29926..29970