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

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Question 460066: Find all the roots
1. x^2+5x-14=0
2. 3x^2+5x=0
3. 4x^2-13x+3=0
Use the difference of two squares formular to factor
4.y^2-49
5. 4x^2-25

Click here to see answer by mananth(16946) About Me 

Question 460174: Simplify by removing factors of 1
q^2-25/q^2-10q+25
I come up with...but I think I may be missing something!
-25/-10q+25

Click here to see answer by Alan3354(69443) About Me 

Question 460206: Hello, I am very confused on this question as well, please help me out.
Factor. 2bc + 4b - 5c - 10

Click here to see answer by stanbon(75887) About Me 
Question 460206: Hello, I am very confused on this question as well, please help me out.
Factor. 2bc + 4b - 5c - 10

Click here to see answer by MathLover1(20849) About Me 

Question 460205: Hello, I'm doing Removing Common Factors; Factoring by Grouping.
x^2 + 8x^2 + 2x + 16
Please be able to show me step by step, so I may have a better understanding of how to do problems of this nature.
Thank you.

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

Question 460261: factor s^2+6s+9
Click here to see answer by checkley79(3341) About Me 

Question 460291: I apologize, because I had to put the wrong equation in one of the question that I asked.
Factor. x^3 + 8x^2 + 2x + 16
Thank you

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

Question 460214: Essay: Show all work. Find the following product: (y-7)^2
Click here to see answer by rfer(16322) About Me 

Question 460343: express the integer as a product of prime number 42
Click here to see answer by Edwin McCravy(20054) About Me 

Question 460354: Factor completely 9m^2-6m+1

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

Question 460387: can u help me solve this?
Subtract and simplify if possible:
6/5r^2 - 7/5r-5

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

Question 460430: how do you factor 2n^4+5n^3+3n^2
Click here to see answer by robertb(5830) About Me 

Question 460452: %28x%5E2%2B9%29%28x%5E2-2y%29
By using foil, I got:
x%5E4-2xy%5E2%2B9x%5E2-18y
This of course is the wrong answer according to the guide in the back of my textbook. So, I tried a few other things and keep getting the wrong answer. The correct answer is as follows:
x%5E4%2B5x%5E2-36
For the life of me, I can't figure out how this could be right. Please help me understand this! Thank you in advance for your help!

Click here to see answer by edjones(8007) About Me 
Question 460452: %28x%5E2%2B9%29%28x%5E2-2y%29
By using foil, I got:
x%5E4-2xy%5E2%2B9x%5E2-18y
This of course is the wrong answer according to the guide in the back of my textbook. So, I tried a few other things and keep getting the wrong answer. The correct answer is as follows:
x%5E4%2B5x%5E2-36
For the life of me, I can't figure out how this could be right. Please help me understand this! Thank you in advance for your help!

Click here to see answer by enidcoleslaw(1) About Me 

Question 460449: Andrew factored the expression -6x^3+9x^2-3x as -3x(2x^2-3x-1) but when Melissa applied the distributive law and multiplied out -3x(2x^2-3x-1) she got -6x^3+9x^2+3x; Andrew solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain reasoning and correctly factor the original expression if possible. Will someone please assist with this question, thank you.
Click here to see answer by richard1234(7193) About Me 

Question 460426: Essay: Show all work. Find the following quotient: (4x^2 - y^2) / (2x + y)

Click here to see answer by richard1234(7193) About Me 

Question 460424: Short Answer. The length of the side of a rectangular desk is given by x - 4y cm. The length of the front is given by x + 4y 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 ankor@dixie-net.com(22740) About Me 

Question 460619: -13x^3+9/x^3-4x
Find the real numbers for the rational expression thats undefined
find the value of the expression when x = -4
x+8/x^2-x+9

Click here to see answer by rwm(914) About Me 

Question 460633: given that f(x) = x^2 - 5x, find and simplify f(a+10) and f(a+h) - f(a)
Click here to see answer by solver91311(24713) About Me 

Question 460656: 1. x^8 - y^8
2. 16a^7b + 54ab^7
3. given that f(x) = 3x^2 - 15x +11, find all values of x such that f(x) = 11

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 460669: solve the polynomial 12x^2-5x-3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 460698: please factor this with an answer of two binomials. It is a perfect square trinomial. Thanks
x^2-2/5x+1/25

Click here to see answer by Alan3354(69443) About Me 

Question 460783: What is the real solution of this polynomial equation?
X^4 -36=0

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

Question 460804: (a-4)(a+4)=30
Click here to see answer by richard1234(7193) About Me 

Question 460286: Evaluate the following polynomial x^3+5x^2-3x+2, for x=2/3.
Please explain each step.

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Question 460868: I need to solve for t given the rational equation, 1/t+5/(t+1)=10
Click here to see answer by stanbon(75887) About Me 

Question 460874: Please evaluate this equation. (x+y)^6
Click here to see answer by rwm(914) About Me 

Question 460963: I am really confused on how to solve the problem with out knowing the values of either variable.
The problem assigned is...
A \ B = {x:? }

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Question 460972: Factor out the greatest common factor:
5a(a+3b)+4/(a+3b)
I know I need to use (a+3b), just not sure how to do it when one of the terms is a fraction with a binomial in the denominator. Could this be a typo from the professor?

Click here to see answer by rwm(914) About Me 

Question 460985: x^8-y^8
Click here to see answer by Gogonati(855) About Me 

Question 461113: is the expression to te right simplifid corectly?
explain in complete sentences why or why not? 3a + b/7 + b = 3a/7

Click here to see answer by oberobic(2304) About Me 

Question 461110: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 4; zeros: 2 - 5i, 8i

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Question 461118: simplify each expression. show any factoring and canceling.

(9m^3c^2)/(27a) * (3a^3) / (18mc^2)
please help with this. thank you!

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

Question 461087: The formula to find the sum of the first n whole number is
sum = (n^2 + n)/2
In order to encourage students to show up early to a school dance, the dance committee decides to charge less for those who come to the dance early. Their plan is to charge the first student to arrive 1 penny. The second student through the door is charged 2 pennies; the third student through the door is charged 3 pennies, and so on. How much money, in total, would be paid by the first 150 students?

Click here to see answer by richard1234(7193) About Me 

Question 460217: Short Answer. The length of the side of a rectangular desk is given by x - 4y cm. The length of the front is given by x + 4y 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 richard1234(7193) About Me 

Question 460219: Essay: Show all work. Find the following quotient: (4x^2 - y^2) / (2x + y)
Click here to see answer by richard1234(7193) About Me 

Question 461156: The point (5, 7) lies on the line -2x + 8y = 46. Determine if this point is a solution of the system
-2x + 8y = 46
x – 2y = -9

Click here to see answer by robertb(5830) About Me 

Question 461161: Select the set of equations that represents the following situation: The sum of two numbers is 36, and their difference is three more than the smaller number. What are the two numbers?
A) x + y = 36; y – x = x + 3
B) 2y = 36; 36 = x – 3
C) x + y = 36; x – y = 3 – x
D) 2x = 36; 36 = x + 3

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 461104: x-sqrt(x+3) = x/2
I have tried moving the x away for the sq rt. then squaring the whole problem. then multiplying by 2 to get rid of the 2 at the bottom. but i cannot get the answer to turn out correct.

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 461162: Select the set of equations that represents the following situation: Mike invested $780 for one year. He invested part of it at 4% and the rest at 5%. At the end of the year he earned $34.44 in interest. How much did Mike invest at each rate of interest?
A) x + y = 780; 4x + 5y = 34.44
B) 0.04x + 0.05y = 780; x + y = 34.44
C) x + y = 780; 0.04x + 0.05y = 34.44
D) 0.04 · 780 + 0.05 · 780 = 34.4

Click here to see answer by mananth(16946) About Me 

Question 461159: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-3x – 8y = -88
-3x – 2y = -40

Click here to see answer by mananth(16946) About Me 

Question 461160: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
5x + 5y = 50
10x + 6y = 84

Click here to see answer by mananth(16946) About Me 

Question 461138: solve for the variable in each equation below. show all work please. check the answer. if solution is undefined, state that in the answer. thank you for your help.
(5a-3/2)-(3a-9/8)=6

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

Question 461406: Simplify the expression using properties of exponents. (4m^2)^3
Click here to see answer by MathLover1(20849) About Me 

Question 461427: Simplify the rational expression
2x+8
_________
x^2+x-12

Click here to see answer by JimboP1977(311) 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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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