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

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

Question 232628: Can you prove the statement " A^0 = 1 (as long as A is not equal to zero)" using the law of exponent? Explain. Thank you!
Click here to see answer by stanbon(57307)

Question 232624: Please find the following product and make comments on the result.
(x - y) (x + y) =

Click here to see answer by checkley77(12569)

Question 232592: Multiply
(4x-5x-3) (1 + 2x squared)
Click here to see answer by checkley77(12569)

Question 232400: If ( x + 3) is a factor of x^3 - 2kx + k^2 , then k is:
Click here to see answer by jsmallt9(3296)

Question 232687: Solving polynominals. I am not understanding
25x2 16y2
ksdesiree@yahoo.com
Click here to see answer by solver91311(16877)

Question 232686: 3d-8=-6+d wats the answer
Click here to see answer by rfer(12657)

Question 232766: find:
3+2y/y^2-1 - y+4/y^2-1

I got 2y^2+7/y^2-1 is that right?
Click here to see answer by Alan3354(30993)

Question 232845: find:
2x/(x^2-9) + (1-2x)/(x^2-4x+3)
Click here to see answer by eggsarecool(46)

Question 232885: what is the answer of: (x^2+9x+16) / (x+2)
Click here to see answer by stanbon(57307)

Question 232910: I am struggling with factoring the polynomial 9x2+4y2! If someone can please help me with factoring this polynomial..
Thanks..

Click here to see answer by Alan3354(30993)

Question 232894: I need some assistance with COMPLETELY factoring the polynomial
3x2-18x-48
Thanks..
Click here to see answer by checkley77(12569)

Question 232940: factor: 1-36x^2
Click here to see answer by edjones(7569)

Question 232767: Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with time T. In one particular pair of markings, R is 45 mph when T is 6 seconds. Find the speed of a car that travels the given distance in 5 seconds.
Click here to see answer by ankor@dixie-net.com(15649)

Question 232917: 12(2x+1)=9(2x-5)+27
Click here to see answer by rfer(12657)

Question 232889: 1. Radiation machines, used to treat tumors, produce an inensity of radiation that valies inversely as the square of the distance from the machine. At 3 meters, the radiation intensity is 62.5 milliroentgens per hour. What is the intensity at a distance of 3.3 meters?
2. A moving sidewlak at an airport glides at a rate of 1.2 feet per second. Walking an the moving sidewalk, you travel 120 feet forward in the same time it takes to travel 24 feet in the oppsite direction. What is your walking speed on a nonmoving sidewalk?
Click here to see answer by edjones(7569)

Question 233062: can someone show me how to work this equation
4x(3x^2 – 2x + 5)
thank you
Click here to see answer by solver91311(16877)

Question 233088: Solve.
-(x+8)=3(2x-4)
Click here to see answer by rfer(12657)

Question 233174: I really need help on learning how to use the Zero Product Property to solve problems like n^2+7n+6=0 ive had the flu so now im having to do all my make up work before i go back to school and i wasnt there for this lesson and i dont understand it all! Please help me.
Click here to see answer by Theo(3458)

Question 233189: Hello.

Can you help me figure out what I am doing wrong?
I need to find the Zeros of the following function.

I am getting 0(multiplicity 3), -3, 3.
Thank you in advance.
William
Click here to see answer by edjones(7569)

Question 233182: Hello.
First of all I want to thank you in advance.
I need to list coordinates of the intercepts at which the graph of the
following function crosses the x-axis.
Function:

By just looking at the function I
came up with (-1,0),(2,0),(3,0)
My professor listed (-1,0),(2,0)
as correct answers.
Isn't (3,0) part of the coordinates?
Thank you!
William

Click here to see answer by Theo(3458)

Question 233209: hi, can i have help on this question please:
for the function f(x) = x^3 - 3x^2 + kx - 6
find the value of k, given that (x-3) is a factor
thank you
Click here to see answer by Alan3354(30993)

Question 233210: The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. A swimmer finishes a race in 400 seconds with an average speed of 3 feet per second. Find the average speed of the swimmer if it takes 300 seconds to finish the race.
How do I get the answer?
Click here to see answer by ankor@dixie-net.com(15649)

Question 233226: -22/17z find all numbers for which the rational expression is undefined

Click here to see answer by stanbon(57307)

Question 233230: find all number for which the rational expression is undefined .
m^3-4m/m^2-25
The number(s) for which the rational expression is undefined are ?
Click here to see answer by stanbon(57307)

Question 233222: Can someone please help me work through these problems?

a) Consider the following rational expression.Build the rational expression
above into an equivalent expression with the denominator xy^5.

7/y

b) Consider the following rational expression.Build the rational expression
above into an equivalent expression with the denominator 18(x - 1).

(x+9)/(9 x - 9)

Thank you,
Alan

Click here to see answer by stanbon(57307)

Question 233119: I need help with this. I am having dificulties with this. i appreciate any help I can get.

Replace the blanks in the equation with constants to complete the square and form a true equatoin.

x^2 + 2/3x+ = (x + )^2
Click here to see answer by ankor@dixie-net.com(15649)

Question 233204: 12xy^3+6xy
Click here to see answer by edjones(7569)

Question 233305: The perimeter of a rectangular backyard is 6x+6 yards. If the width is x, find a binomial that represents the length.
Click here to see answer by solver91311(16877)

Question 233305: The perimeter of a rectangular backyard is 6x+6 yards. If the width is x, find a binomial that represents the length.
Click here to see answer by Earlsdon(6287)

Question 233272: simplify by removing factors of 1.
1875v^7x^6/45v^4x^2
Click here to see answer by Alan3354(30993)

Question 233301: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment after one year. Rewrite this expression without parentheses. Evaluate the polynomial if P=$200 and r= 10%.
Click here to see answer by rfer(12657)

Question 233324: The sum of the reciprocals of two consecutive integers is 5/6. Find the two integers?
Smaller value
Larger value
Click here to see answer by Alan3354(30993)

Question 233365: LCM of w²-64 and w²+13w+40
Click here to see answer by stanbon(57307)

Question 233366: LCM v³+10v²+25v, v²-10v
Click here to see answer by stanbon(57307)

Question 233368: LCM 35x²+105x and 5x²+20x+15
Click here to see answer by jsmallt9(3296)

Question 233416: A bathtub can be filled by the cold water faucet in 12 minutes and by the hot water faucet in 13 minutes. How long does it take to fill the tub if both faucets are open?
Click here to see answer by stanbon(57307)

Question 233485: Okay, I've worked on this problem and I'm hoping that I got it right. Simplify X^5-6x-16x^3/ x^3-4x.
My answer is x^2(x-8)/x-2...... Is that right tutors!!
Click here to see answer by Theo(3458)

Question 233479: Express(2x-4)(x+7)as a trinomial
Click here to see answer by rfer(12657)

Question 233512: Perform the indicated operations.
(2x-7)(2x+7)
Click here to see answer by Alan3354(30993)

Question 233424: 8x^2-+4 x-5
Click here to see answer by Alan3354(30993)

Question 233511: Perform the indicated operations.
(3x-7)^2
Click here to see answer by unlockmath(1599)

Question 233510: Perform the indicated operations.
(x+3/4)(x-1/4)
Click here to see answer by checkley77(12569)

Question 233509: Perform the indicated operations.
3x^3y^4(2x^2-4y^3)
Click here to see answer by rapaljer(4667)

Question 233633: Factor 3m^3p-6m^2p
Click here to see answer by Earlsdon(6287)

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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, 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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