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

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

Question 156267: Solve by completing the square:
x^2 + 2x - 24 = 0
Click here to see answer by oscargut(900)

Question 156370: Use a product formula to compute and simplify
Click here to see answer by jim_thompson5910(28717)

Question 156176: Can somebody help me solve the equation
Click here to see answer by Adam(64)

Question 156261: Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.
5x^2-3x is greater than or equal to 8
Click here to see answer by stanbon(57984)

Question 156372: Please solve this equation:
6w+1/4w-3 = w-4/4w+4

Click here to see answer by karenallen805(2)

Question 156401: Express the following rational expressions in lowest terms:
y^2-y-12
_________
y^2-9

3x^2-6x-72
__________
2x^2-8x-64
Click here to see answer by orca(409)

Question 156402: Addition and Subtraction of Rational Expressions
Add or subtract the following:

Click here to see answer by Edwin McCravy(8999)

Question 156413: given a piece of rectangular cardboard that measures 15 cm wide and 29 cm long. What is the measure of a side (X) of a square to be cut from each corner in order to make the largest volume open top box.
Write the polynomial that represents volume.
Click here to see answer by ankor@dixie-net.com(15747)

Question 156447: Multiply the follwing and simplify by adding like monomials into a single polynomial.
(2x-1)*(x+3)*(3x+2)
Click here to see answer by jim_thompson5910(28717)

Question 156415: A student was given the following problem:
(9x^2 divided by 16 over 9y^2-24y+16) divided by (6y+8)
He states his answer to the problem as 2(3y+4). Is he correct? If not, explain why. What would you suggest he do to solve the problem?

Click here to see answer by stanbon(57984)

Question 156459: please help me
y^2 /y-4 - 4/y-4

y^3-5y /6y - y^3+y+3/6y

Click here to see answer by stanbon(57984)

Question 156520: Solve.
Not sure how to write square root,
(square root 3x+24) = x+2
I know a sqiare root is the opposite of exponent 2, not sure how to work this.
Click here to see answer by stanbon(57984)

Question 156524: My teacher gave this problem
4x^-9
------
4x^2+12x+9 divided by 6x-9
I got 3(2x+3), my teacher said I was wrong.Please help me.
Click here to see answer by jim_thompson5910(28717)

Question 156567: 5.3.1.1.
How do I solve this using factoring?
(x - 2)(2x - 5) = 0
thank you.
Click here to see answer by nabla(475)

Question 156566: 10. Using FACTORING, how do I complete this exercise?

2x^2 + 40x + 200
Thank you for your help.
Click here to see answer by nabla(475)

Question 156568: 5.3.1.2.
How do I solve this (below) using factoring?
x^2 + 6x - 27 = 0
I appreciate your help so much. Thank you.
Click here to see answer by nabla(475)

Question 156568: 5.3.1.2.
How do I solve this (below) using factoring?
x^2 + 6x - 27 = 0
I appreciate your help so much. Thank you.
Click here to see answer by Edwin McCravy(8999)

Question 156565: 9. Using Factoring, how do I complete this exercise?
25x^2 + 20x + 4
thank you!
Click here to see answer by nabla(475)

Question 156522: Divide. i have 50 more problems t go, please help!
(2z-2/15) divided by (z-1)/55z
Click here to see answer by Fombitz(13828)

Question 156553: How do I start to multiply this rational expression z^2 - 10z+21/z^2 - 13 + 36 divided by z^2 -11z + 24/z^2 - 9z + 14
Click here to see answer by checkley77(12569)

Question 156518: Subtract then simplify
(2 square root 18) - (4 square root 2)
Any help please?
Click here to see answer by checkley77(12569)

Question 156523: Multiply
3 square root y^10 * 3 square root 81y^11

Confused! Help!
Click here to see answer by checkley77(12569)

Question 156564: Division by inspection
Please help me solve the following problem:
27 a(cubed) + b(cubed) divided by 3a+b
Click here to see answer by stanbon(57984)

Question 156593: Find all numbers which the rationnal expresson is undefined.
p^3-4p divided by p^2-49.
i started to factor the top p(p^2-4)= (p-2)(p+2)
then the bottom (p-7)(p+7).

I think im factoring and not answering the question. So many rules and formulas im getting mixed up.
Hel

Click here to see answer by jim_thompson5910(28717)

Question 156596: find the GCF for the groups of terms.
-30a^3 and 5a^5
Click here to see answer by Alan3354(31538)

Question 156591: 1.x^4=5x^2
2.x^4+18x^3+8x+144=0
3.x^3+19x^2-7x-133=0
4.x^6-13x^5-7x=-91
I need help solving these. So far I have spent hours on just these problems our teacher doesn't explain things very well.
Thanks
Lauren
Click here to see answer by stanbon(57984)

Question 156592: Solve for x
4x(x-2)- 5x(x-1)=2
i started problem x^2-8 etc..and equaled problem to 0.
Still seems wrong.
Thank you
Click here to see answer by stanbon(57984)

Question 156592: Solve for x
4x(x-2)- 5x(x-1)=2
i started problem x^2-8 etc..and equaled problem to 0.
Still seems wrong.
Thank you
Click here to see answer by scott8148(6628)

Question 156594: Rationalize the denominator
(Square root of U - sqrt of V) divided by (sqrt of U + sqrt of v)
Huhhhh...
solution:
(sqrt u-sqrt v)/(sqrt u+sqrt v)
multiply and divide by sqrt u-sqrt v
(sqrt u-sqrt v)(sqrt u-sqrt v)/(sqrt u+sqrt v)(sqrt u-sqrt v)
(sqrt u-sqrt v)^2/(sqrt u)^2-(sqrt v)^2
(sqrt u-sqrt v)^2/(u-v)
Click here to see answer by atique.ah(26)

Question 156555: How do I solve 14z^3/15y^3 * 10z^2/4y
Click here to see answer by atique.ah(26)

Question 156544: y^5 - 3y^3 + 8y^2 / 5y
I factored it out as much as I could.

Click here to see answer by jim_thompson5910(28717)

Question 156404: Addition and Subtraction of Rational Expressions Add or subtract the following:
y^2
____
y-4
MINUS
4
____
y-4

y^3-5y
_______
6y
MINUS
y^3+y+3
_______
6y

They are supposed to be dide by side like y to the third+y+3 over 6y minus ect...I hope that makes sense..
Thanks!

Click here to see answer by checkley77(12569)

Question 156468: Find all numbers for which x - 1 / x^2-2x -15 is defined
Click here to see answer by solver91311(17077)

Question 156610: simplify: ( -2y^3/5)^3
solving I get 8y^9/5 if I simplify is it -2y^9/5?
Click here to see answer by stanbon(57984)

Question 156469: n^2 - 9/n + 3 * n/3n - 9
Click here to see answer by orca(409)

Question 156618: n^2 -9/n + 3 * n/3n - 9
I got n - 3 * 1/3 after solving both...now i'm not sure...but the final answer I get is n/3 - 1 but I don't think that's right yes it's right
Click here to see answer by Celiesia(1)

Question 156646: Multiply
(c+1/3)(c+1/2)
Thank you
Click here to see answer by Alan3354(31538)

Question 156645: Subtract and simplify
(8-v)/(v-2) - (4v-9)/(v-2)
i got -v+8/v-2 -4v-9/-v+2... do i go a step further? Is there a step beyond this?

Click here to see answer by stanbon(57984)

Question 156629: The width of a floor is ( x − 6) feet and the length is (x) feet. If the area of the floor is 247 square feet, what is its width?

Click here to see answer by Alan3354(31538)

Question 156625: 9/x^2 - 9x + 14 - 7/x-2
Click here to see answer by orca(409)

Question 156653: Express the following rational expressions in lowest terms:

y^5-3y^3+8y^2/5y
Click here to see answer by oscargut(900)

Question 156627: simplify: (q^9)^7/r^6
Click here to see answer by stanbon(57984)

Question 156626: g^2 - g - 12/g^2 - 10g + 24 divided by g^2 - 9/g^2 - 7g + 6
Click here to see answer by stanbon(57984)

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, 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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, 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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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