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

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

Question 401147: The width of a rectangular playground is 2x - 5 feet and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.
Click here to see answer by solver91311(24713)

Question 401177: I am having trouble here... Could someone help me? Please?
Combine like terms. Write all answers in decending order.
12t^6-t^3+8t^6+4t^3-t^7-3t^3

Click here to see answer by sofiyac(983)

Question 401162: Can someone please help?
Combine like terms. Write all answers in descending order.
12t^6-t^3+8t^6+4t^3-t^7-3t^3
Click here to see answer by sofiyac(983)

Question 401208: (1/(x+2)^2)-(3/(x+2))=54
I can not figure out how to do this, i have tried representing u= 1/(x+2) but I keep getting 2 for the answer and it is wrong. Thank you!
Click here to see answer by Alan3354(69443)

Question 401214: AN EXAMPLE OF HOW TO DIVIDE A POLYNOMIAL BY ANOTHER POLYNOMIAL
Click here to see answer by ewatrrr(24785)

Question 401214: AN EXAMPLE OF HOW TO DIVIDE A POLYNOMIAL BY ANOTHER POLYNOMIAL
Click here to see answer by Alan3354(69443)

Question 401134: A farmer drives a tractor from one town to another, a distance of 180 kilometers. He drives 15 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
I got to the point where the problem reads as followed:
r^2-10r-1800
(r-60)(r ?) and that is where I am stuck

Click here to see answer by Tatiana_Stebko(1539)

Question 401223: Consider that the age, x, of a unicorn in human equivalent years can be given by the formula f(x) = - 0.003518x4 + 0.087326x3 � 1.3367x2 + 12.46x + 2.914. When a unicorn is 2.5 years old, what is its age in human equivalent years? What about when it is 12 years old?
Click here to see answer by richard1234(7193)

Question 401109: Height difference. A red ball and a green ball are
simultaneously tossed into the air. 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 80 feet per second, and its
height t seconds after it is tossed is 16t^2 + 80t feet.
a) Find a polynomial D(t) that represents the difference in
the heights of the two balls.
b) How much higher is the red ball 2 seconds after the
balls are tossed?
c) In reality, when does the difference in the heights stop
increasing?

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

Question 401239: The width of a rectangular playground is 2x-5 feet, and the length is 3x+9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.
Click here to see answer by algebrahouse.com(1659)

Question 401295: I am having so much trouble with these two problems: Simplify the rational expressions:
a) -x^2+10x-21/-3x^2+23x-14 (friend told me the answer is 3-x/3x-2 but had difficulty trying to explain the steps to me)
b) 28x^2-29x+6/-28x^2+50x-12 (didn't ask my friend because of question a's explanation issues)
I thought that I could factor the numerator and denominator separately, then divide them, but Im not sure if that's right. Any help is GREATLY appreciated!
Click here to see answer by algebrahouse.com(1659)

Question 401252: Add:
(2/3x^2-4x-1)+(1/3x^2-19x+28)
Simplify as much as possible
Is this the answer
= (2/3)x^2 + (1/3)x^2 - 4x - 19x - 1 + 28
= x^2 -23x + 27
Click here to see answer by jsmallt9(3758)

Question 401301: Factor completely.
1. 6x^6 + 8x^4 � 15x^3 � 20x

2. 9x^2 � 27x + 20

3. 2x^2 � 128

Click here to see answer by lwsshak3(11628)

Question 401340: factor completly u^3-125v^3
Click here to see answer by robertb(5830)

Question 401349: A dart board contains a region worth 9 points and a region worth 4 points . If you are allowed to throw as many darts as you wish, then what is the largest possible total score you CANNOT get?
Click here to see answer by richard1234(7193)

Question 401347: Please help....I do not understand this at all!!!!
Solve for x: 2h^2-h-3=0
and
Solve for x: 2w(4w+1)=1
Thanks!
Click here to see answer by richard1234(7193)

Question 401351: A square checkerboard is made up of 36 alternately colored 1 inch by inch squares. What is the total number of squares that are visible on this checkerboard.(hint: count the 6 by 6 squares, then the 5 by 5 squares, and so on.) How many are visible on a checkerboard that has 64 alternately colored 1 inch by 1 inch squares?
Click here to see answer by richard1234(7193)

Question 401473: Simplify. Write without negative exponents. (2a^3x^-2/y^-1b^2)^3(y^2a^-4/8bx^5)^-1
The answer I got was 64a^13/xb^5. Is this correct?
Click here to see answer by MathLover1(20849)

Question 401500: please help me solve this equation:
1/x^2+8/x+15=0
Click here to see answer by ankor@dixie-net.com(22740)

Question 401485: what is the solutions of r+5/r=-6
Click here to see answer by Tatiana_Stebko(1539)

Question 401569: Can you show me step-by-step how to solvw this equation for m: (3)/(m^2)=(m-4)/(3m^2)+(2)/(3m^2)
Click here to see answer by ankor@dixie-net.com(22740)

Question 401526: Can you solve this?
(2t-3)(3t to the power of 2+2t+5)
Click here to see answer by richard1234(7193)

Question 401474: Consider that the age, x, of a unicorn in human equivalent years can be given by the formula f(x) = - 0.003518x^4 + 0.087326x^3 � 1.3367x^2 + 12.46x + 2.914. When a unicorn is 2.5 years old, what is its age in human equivalent years? What about when it is 12 years old?
Click here to see answer by richard1234(7193)

Question 401615: solve and write in interval notation: -3/2 < 4-2m < 7/2
Click here to see answer by robertb(5830)

Question 401495: (z^2-2z-24)/(8z^3-7z) x (64z^3-49z)/(6z-36)
Click here to see answer by mananth(16946)

Question 401636: simplify: (4c/ab) + (3b/ac) - (2a/bc)
Click here to see answer by Tatiana_Stebko(1539)

Question 401633: multiply and simplify: (10n + 15) multiply by (n + 1)/ 6n +9
Click here to see answer by mananth(16946)

Question 401622: simplify: m to the power of 3 minus n to the power of 3 divided by m minus n
Click here to see answer by mananth(16946)

Question 397336: I need to factor this trinomial completely, I thinks it is "not factorable" using integers but I want to be sure.
8t^2 - 3t - 4
Thanks in advance!
Click here to see answer by robertb(5830)

Question 401714: solve r/10 - 10/r = 0
Click here to see answer by edjones(8007)

Question 401690: Factor completely. Please help me solve this equation:
Click here to see answer by edjones(8007)

Question 401726: solve x/x+9 - 9/x-9 = x^2+81/x^2-81
Click here to see answer by Alan3354(69443)

Question 401740: Please help me solve
(3x^2-2xy+y^2)+(-9x^2-9xy-y^2)+x^2+xy-5y^2)
Click here to see answer by stanbon(75887)

Question 401741: Please solve
(c+f)(c^2-cf+f^2)
Click here to see answer by stanbon(75887)

Question 401743: Factor Completley(type answer factor form)
9x^4-45x^3+45x^2
Click here to see answer by stanbon(75887)

Question 401733: How do I check the answer for this rational expression problem?
3x/2 - 8 = 1/3
LCD is 6
(6)3x/2 - (6)8 = (6)1/3
= 9x - 48 = 2
= 9x = 2 + 48 (Multiply both sides by +48
= 9x/9 = 50/9
So, x = 50/9
I have been working on plugging in the answer where x is, but so far, I have not been able to come up with the 1/3. Please help!
Check: 3x/2 - 8 = 1/3
= 3(50/9)/2 - 8 = 1/3

Click here to see answer by stanbon(75887)

Question 401752: Solve the equation.
(3n+6)(6n-3)=0
I tried using the quadratic formula but soon releized that was not how I was supposed to answer the problem. Please help.
Click here to see answer by nerdybill(7384)

Question 401751: Solve the equation.
(4y+8)(3y-2)=0
I tried using the quadratic formula but soon releized that was not how I was supposed to answer the problem. Please help.
Click here to see answer by Tatiana_Stebko(1539)

Question 401848: i am having a hard time with this word problem,
A gardner wants to create a rectangular garden with the length of 3x-2y ft and width of 3x-3y ft. What is an algebratic expression for the area of the garden? Be sure to mulitiply this out, express in simplest correct mathematical form, and include units.
Click here to see answer by checkley79(3341)

Question 401846: Find the sum of (x2 + x + 1) and (2x2 + 2x + 1). Enter your answer as a polynomial in descending order below, and use the caret (^) for exponents
Click here to see answer by checkley79(3341)

Question 401844: I am having trouble setting up this problem and solving it...
The length of the side of a rectangular desk is given by 3x-y cm. The length of the front is given by 3x+y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.
Click here to see answer by checkley79(3341)

Question 401903: I have to simplify 9x^2-4/3x^2-5x+2*9x^4-6x^3+4x^2/27x^4+8x
I am able to simplify the first part of the expression(9x^2-4/3x^2-5x+2)but i need help on simplifying the second part.
Click here to see answer by MathLover1(20849)

Question 401750: Solve the equation.
(7p+14)(8-2p)=0
I tried using the quadratic formula but soon releized that was not how I was supposed to answer the problem. Please help.
Click here to see answer by ankor@dixie-net.com(22740)

Question 402007: 8(6-5x)=-24(x-2)-16x
Click here to see answer by robertb(5830)

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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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