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 261674: find the greatest common factor of 20a^3b, 32a^2b^2, and 44ab^3
Click here to see answer by CharlesG2(834) About Me 

Question 261713: A market research company finds that at a price of p=$20., they would sell x=42 tiles each month. If they lower the price to p=$10., then more people would purchase the tile, and they can expect to sell x=52 tiles in a months's time. Find the equation of the line for the demand equation. Write your answer in the form p=mx+b. Hint: write an equation using two points in the form (x,p).
My biggest problem is I am not sure about the demand equation, I am not real clear on what I am suppose to be figuring out in this problem. I have several other problems which depend on my having this base correct. I am totally blank and have read everything I have on this and I must be over looking or thinking this out. Please help me.

Click here to see answer by Theo(13342) About Me 

Question 261678: Factor by grouping 6x^3-15x^2+14x-35
Click here to see answer by jim_thompson5910(35256) About Me 

Question 261851: How do you multiply a polynomial by a polynomial. (x+3)(x+2) i tried it but i still dont get it help. thank you.(poco ingles)
Click here to see answer by solver91311(24713) About Me 

Question 261869: Simplify. (g+5)+(2g+7)
Click here to see answer by Stitch(470) About Me 

Question 261853: 9x to the third power plus one

Click here to see answer by richwmiller(17219) About Me 

Question 261848: Factor.Check by multiplying
4.2x^4+5.4x^3-2.4x^2+3x
type the greatest monomial factor and polynomial factor with coefficients.





Click here to see answer by richwmiller(17219) About Me 

Question 261808: how do you figure out how to do (-4x)^3(-4x)^4
Click here to see answer by checkley77(12844) About Me 

Question 261924: how do i factor a polynomial equation such as 3x+6
Click here to see answer by dabanfield(803) About Me 

Question 262081: Factor and simplify:
(2xy+3wxy-8x-12wx) / (4xy^2-64x)

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

Question 262171: solve v^2+8v+15=0
Click here to see answer by nerdybill(7384) About Me 

Question 262173: The product of the page numbers on two facing pages of a book is 156. Find the page numbers.
Click here to see answer by texttutoring(324) About Me 
Question 262173: The product of the page numbers on two facing pages of a book is 156. Find the page numbers.
Click here to see answer by richwmiller(17219) About Me 

Question 262170: solve using the principle of zero. (9a+7)(2a-6)=0
Click here to see answer by richwmiller(17219) About Me 

Question 262172: A rectangular table is six times as long a it is wide. If the area is 96 ft^2, find the length and the width of the table.
Click here to see answer by kelsdf(2) About Me 

Question 262048: Help please! Find the length of side of a triangle if b=24 and c=26 using this formula. a^2+b^2=c^2
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 262268: Can someone help with this problem please?
Multiply

(9x + 7)(3x^2 + 2x + 1)
(Simplify your answer.)
Thank you to anyone who can help with this problem.

Click here to see answer by Stitch(470) About Me 

Question 262422: sqrt 5x + 4 + 13
Click here to see answer by stanbon(75887) About Me 

Question 262427: sqrt3y + sqrt1 = 4
the square root sign is above 3y + 1

Click here to see answer by stanbon(75887) About Me 

Question 262550: x^4+3x^2+4
factor

Click here to see answer by drk(1908) About Me 

Question 262616: 1.SIMPLIFY AND WRITE WITH POSITIVE EXPONENTS 9X(X^-3)/18X^15
I DID THIS AND NOW IM STUCK:9X(1/X^-3) THEN I GOT 9X/18X^15X^-3 = 9X/18X^12 = X/2X^12 NOW IM STUCK ...HELP?
2.WRITE WITHOUT NEGATIVE EXPONENTS=(3X^-4Y^2)^-3 = (1/3X^-4Y^2)^-3 = 3*3*3 X^-4+3 Y^2+3 = 1/27X^-1Y^5 I NEED HELP IM ALSO STUCK.

Click here to see answer by stanbon(75887) About Me 

Question 262615: Area of a sail. The area in square meters for a triangular
sail is given by A(x)= x^2+5x+6.
a) Find A(5).
b) If the height of the sail is x +3 meters, then what is
the length of the base of the sail?

Click here to see answer by dabanfield(803) About Me 

Question 262586: Please help me. It's multiplying polynomials:
%28-2r%5E3s%5E4%29%286r%5E2s%29.

Click here to see answer by edjones(8007) About Me 

Question 262781: a little help please..
factor by grouping

5(x+y) + 9(x+y)

Click here to see answer by drk(1908) About Me 

Question 262783: How can I factor by grouping?
x3 + x2 + 2x + 2

Click here to see answer by butterfliiizzz(18) About Me 

Question 262782: How do I factor by grouping?
8x3 - 12x2 + 6x - 9

Click here to see answer by drk(1908) About Me 
Question 262782: How do I factor by grouping?
8x3 - 12x2 + 6x - 9

Click here to see answer by butterfliiizzz(18) About Me 

Question 262784: Please help me on factoring by grouping.
2x3 - 8x2 - 9x + 36

Click here to see answer by nerdybill(7384) About Me 
Question 262784: Please help me on factoring by grouping.
2x3 - 8x2 - 9x + 36

Click here to see answer by drk(1908) About Me 

Question 262780: please help
it says factor by grouping
3x + 3y + ax + ay

Click here to see answer by drk(1908) About Me 

Question 262821: Consider any integer x. The next consecutive integer can be represented by the binomial (x+1).
a. write a polynomial for the sum of any two consecutive integers
b. explain how you can be sure that the sum of any two consecutive integers is always odd. Use the polynomial form part (a) in your explanation

Click here to see answer by drk(1908) About Me 

Question 262846: I do not know where to start.
A red ball and a green ball are simultaneously tossed into the air.
Find a polynomial D(t) that represents the difference in the heights of the two balls. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16t^2 + 96t feet. The green ball is given an initial velocity of 80feet per second, and its height t second, and its height t seconds after it is tossed is -16t^ + 80t feet. How much higher is the red ball 2 seconds after the balls are tossed? In reality, when does the difference in the heights stop increasing?

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 262846: I do not know where to start.
A red ball and a green ball are simultaneously tossed into the air.
Find a polynomial D(t) that represents the difference in the heights of the two balls. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16t^2 + 96t feet. The green ball is given an initial velocity of 80feet per second, and its height t second, and its height t seconds after it is tossed is -16t^ + 80t feet. How much higher is the red ball 2 seconds after the balls are tossed? In reality, when does the difference in the heights stop increasing?

Click here to see answer by drk(1908) About Me 

Question 262895: My son is trying to learn how to factor when either square is a square of a polynomial. Such as this problem: 9a^2-(2a-5)^2. I know the answer from the teacher book is 5(a-1)(a+5)^2, but I can't explain to him how to work it. Any help is appreciated.
Phebe Little, for my son Micah, who is in Algebra I

Click here to see answer by checkley77(12844) About Me 

Question 262899: How do I factor when either square is a square of a polynomial?
Such as in this problem:
49a^2-(5a-4b)^2
Any help is appriciated.
Micah

Click here to see answer by nerdybill(7384) About Me 
Question 262899: How do I factor when either square is a square of a polynomial?
Such as in this problem:
49a^2-(5a-4b)^2
Any help is appriciated.
Micah

Click here to see answer by checkley77(12844) About Me 

Question 262902: 3X to the fourth power =300.
PLease help me figure this problem..
Thank you soooooooo much, I dont even know where to begin

Click here to see answer by drk(1908) About Me 

Question 262904: Pseudoephedrine hydrochloride is an allergy medication. The polynomial L(t) = 0.03t^4 + 0.4t^3 – 7.3t^2 + 23.1t, where 0 <= t <= 5, models the level of pseudoephedrine hydrochloride, in milligrams, in the bloodstream of a patient t hours after 30 milligrams of the medicine have been taken.
At what times, to the nearest minute, does the level of pseudoephedrine hydrochloride in the bloodstream reach 12 milligrams?

Click here to see answer by drk(1908) About Me 

Question 262918: Evaluate each rational expression
Evaluate 3x+1/4x-4 for x = 5

Click here to see answer by Nieleya(22) About Me 

Question 262915: Find an nth degree polynominal function with the real coefficient satisfying the given conditions.
n=3;-2 and -2+3i are zero;leading coefficient is 1

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 263110: 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 1 year. Rewrite this expression
without parentheses. Evaluate the polynomial if
P = $200 and r = 10%.

Click here to see answer by drk(1908) About Me 

Question 263141: The equation D=1.2 sqrt h gives the distance, D in miles that a person can see to the horizon from a height, h, in feet. A technician can see 30.4 miles to the horizon from the top of a radio tower. How high is the tower? (Replace the known values in the equation D=1.2 sqrt h)
Click here to see answer by drk(1908) About Me 

Question 263137: After an accident, polie determine the spped at which the car had been traveling based on the length of the skid marks the car left on the road. The police use the following formula: r= 2(over)/(5L)^-1/2, where r is the speed of the car, in miles per housr, and L is the distance of the skid marks, in feet.
A. Solve the equation r= 2(over)/(5L)^-1/2 for L. (Apply rule of negative and fractional exponents before solving for the variable L.)
B. How far will a car skid at 65 mph? Round your answer to the nearest whole, feet if necessary. (Use your equation in 1A and replace the known values in the equation.
Thanks!!!

Click here to see answer by stanbon(75887) About Me 

Question 263138: After an accident, polie determine the spped at which the car had been traveling based on the length of the skid marks the car left on the road. The police use the following formula: r= 2(over)/(5L)^-1/2, where r is the speed of the car, in miles per housr, and L is the distance of the skid marks, in feet.
A. Solve the equation r= 2(over)/(5L)^-1/2 for L. (Apply rule of negative and fractional exponents before solving for the variable L.)
B. How far will a car skid at 65 mph? Round your answer to the nearest whole, feet if necessary. (Use your equation in 1A and replace the known values in the equation.
C. How far will a car skid at 100 mpg? Round your answer to the nearest whole feet, if necessary. (Use your equation in 1a and replace the known values in the equation.)
Thanks!!!

Click here to see answer by drk(1908) About Me 

Question 263171: multiply. write your answer in lowest terms.
(z^2-3z-4)/(z+3)* (z-1)/(z-4)

Click here to see answer by drk(1908) 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, 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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, 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, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105