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

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

Question 41042: The width of a rectangle is 4 feet less than the length. The area is 320ft^2. Find the width of the rectangle.
___feet
Thank you
Click here to see answer by Nate(3500)

Question 41041: The length of a sign is 4 inches more than the width. The area is 45 square inches. Identify the length and the width of the sign.
Thank you
Click here to see answer by checkley71(8403)

Question 41039: The hypotenuse of a right triangle is 26 feet long. One leg is 14 feet longer than the other. Find the length of the shorter leg.
___ ft long.
Thank you

Click here to see answer by Nate(3500)

Question 41027: The speed of a freight train is 14 km/hour slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of the freight train. ___km/hr
Thanks
Click here to see answer by checkley71(8403)

Question 41048: If the sides of a square are decreased by 2cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?

Click here to see answer by Nate(3500)

Question 41048: If the sides of a square are decreased by 2cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?

Click here to see answer by checkley71(8403)

Question 41004: what is b+3/7 - b/7
Click here to see answer by checkley71(8403)

Question 41058: The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
Click here to see answer by Nate(3500)

Question 41038: A rectangular garden is 80 m by 60m. Part of the garden is torn up to install a strip of lawn of equal width around the garden. The new area of the garden is 800m^2. How wide is the strip of lawn?
___m wide.
Thank you

Click here to see answer by josmiceli(19441)

Question 41075: This is from a study guide for my final the question is:
Find all the real and complex zeros of the polynomial x^4+4x^3-4x^2-36x-45
...I know the answe involves 3, 2 and an imaginary number but I am having difficulty which ones are postive and negative etc...
Click here to see answer by stanbon(75887)

Question 41078: Factor completely
9x^2 + 12xy + 4y^2 + 25
Click here to see answer by fractalier(6550)

Question 41078: Factor completely
9x^2 + 12xy + 4y^2 + 25
Click here to see answer by stanbon(75887)

Question 41098: rationalize the denominator:
sqrt 3x / sqrt x - sqrt 3.
i know i need to multiply the denomiator & numerator by sqrt x + sqrt 3 to
rationalize the problem so the denominator becomes x-3
but my problem is i can't figure out what the numerator becomes, i get confused.
Click here to see answer by psbhowmick(878)

Question 41101: express as a polynomial: ((x^2-xy)/(2x))*(2x+6y)=
i get x^2+2xy-3y^2
Click here to see answer by psbhowmick(878)

Question 41100: simplfy the expression (1/x-1/b) / (1/xb + 1/2).
i get x-b/2xb but i am not sure i am right.
Click here to see answer by psbhowmick(878)

Question 41122: List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros.
f(x)=5x^3+2x^2-2x+5
Click here to see answer by fractalier(6550)

Question 41164: Is this correct
Find the GCF of each product

(6y^2 - 3y) (y + 7)
=
3y (-3y) (y + 7)
Click here to see answer by PaulAllen65270(19)

Question 41218: When you expand an equation like, (2x-4y)^3
you get the result of 8x^3- 48x^2y + 96xy^2 - 64y^3
how do you know when to subtract and add while working put the problem?
do you go -, +, -
Click here to see answer by fractalier(6550)

Question 41217: State the possible number of imaginary zeros of g(x)=x^4+3x^3+7x^2-6x-13.
Click here to see answer by fractalier(6550)

Question 41212: Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.
Click here to see answer by fractalier(6550)

Question 41199: The length of an airport is 1 mile more than twice its width. The area is 21 square miles. Identify the length and width of the airport.
Thank you
Click here to see answer by fractalier(6550)

Question 41204: The hypotenuse of a right triangle is 25 cm long. one leg is 17 cm longer than the other. Find the length of the shorter leg.
___cm
Thank you
Click here to see answer by fractalier(6550)

Question 41196: A picture frame is 20 inches by 12 inches. There are 84inches^2 of the picture showing. Find the width of the frame.
___ inches
Thanks
Click here to see answer by fractalier(6550)

Question 41236: how do you Factor the expresion 16w squared+80w+100
Click here to see answer by checkley71(8403)

Question 41236: how do you Factor the expresion 16w squared+80w+100
Click here to see answer by Nate(3500)

Question 41249: A triangle has the following three figures in regard to its sides, respectively:
3/4x, 1/x^2, 5/x^2
Find an expression that represents its perimeter.
Thanks!
Click here to see answer by Nate(3500)

Question 41210: Find all of the rational zeros of f(x)=4x^3-3x^2-22x-15.
Click here to see answer by Nate(3500)

Question 41264: The Pythagorean Theorem
A triangle has sides whose lengths are consecutive integers. Find the lengths of the sides.
Thank you

Click here to see answer by Nate(3500)

Question 41263: Variations
The area of a circle varies directly as the square of the length of its diameter. What is the constant variation?
Thank you
Click here to see answer by Nate(3500)

Question 41260: Radical expressions
Three students were asked to simplify sqrt10 +sqrt50. Their answers were:
Sqrt10(1+sqrt5),
Sqrt10+5sqrt2, and
Sqrt2(5+sqrt5).
Which if any is correct?
Which is in simplest form?
Thanks so much
Click here to see answer by Nate(3500)

Question 41244: Add.
4y/y^2 + 6y +5 plus 2y/y^2 - 1
Thanks!
Click here to see answer by zeynep(43)

Question 41238: Subtract. Write answer in simplest form.
5a - 12/a^2 - 8a + 15 minus 3a -2/a^2 - 8a + 15
Thanks!

Click here to see answer by zeynep(43)

Question 41209: I have a large rectangle with a smaller rectangle inside. The smaller rectangle is exactly in the center of the larger 1. The smaller rectangle's width is 20 and length is 40. The space between the Big and Small rectangle is the deck. The smaller rectangle is the pool.
What is the area of the deck?
What is the combined area of the deck and the pool?
---i tried solving it like this---
The length of the large rectangle is 20+2d
The width of the large rectangle is 40+2d
A=(20+2d)(40+2d)
800+40d+80d+4d^2
800+120d+4d^2
4d^2+120d+800 <------is this the right answer?
Thanks
Click here to see answer by psbhowmick(878)

Question 41158: What is the equation of the line that contains the points with (x,y) coordinatei greater than or equal to (-3,7) and (5,-1)?
Click here to see answer by psbhowmick(878)

Question 41170: Solve b^4+2b^2-24=0
Click here to see answer by zeynep(43)

Question 40390: The price of an item is given by p = 2x^2 - 100. Find the polynomial that represents the revenue generated from the sale of x items.
Click here to see answer by zeynep(43)

Question 41165: I don't quite understand this one.
Find a value for k so that 9m^2 - kn^2 will have the factors 3m + 7n, and 3m - 7n.
Thanks
Click here to see answer by vidhyak(98)

Question 41332: Write the equation of the parabola y=4x^2-8x+1 in standard form.
Thanks for the help.
Click here to see answer by Nate(3500)

Question 41321: (2a+y)(4a+b)
show work
Click here to see answer by tran3209(100)

Question 41401: Multiply.
2x^2 - x - 3/3x^2 + 7x + 4 times 3x^2 - 11x-20/4x^2 - 9
Thanks!
Click here to see answer by gsmani_iyer(201)

Question 41471: Solve.
m�+ 2m� - 3m = 0
Click here to see answer by zeynep(43)

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, 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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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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, 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