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

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

Question 177134: build each rational expression into an equivalent rational expression with the indicated denominator.
-7yt/3x = ?/18xyt
perform operation reduce to lowest terms.
2/x-3 + 3/3-x
Click here to see answer by ankor@dixie-net.com(15664)

Question 177046: A culture contains 10 000 bacteria, and grows at a rate of 15% per hour.
a) Write an equation expressing the population, P in thousands as a function of n, the time in hours.
b) Solve your equation from part a) for n

Click here to see answer by ankor@dixie-net.com(15664)

Question 177145: Is the solution to this inequality (x+2)/(x-1)<2,
is (-3x+4)/(x-1)? yes or no
Click here to see answer by Alan3354(30993)

Question 176879: Write a polynomial function with rational coefficients in standard form with the given zeros.
[] means squre root

10. 2, 3, 5

11. [3] 2i
Click here to see answer by ankor@dixie-net.com(15664)

Question 177064: Solve for x on the interval given:
a) 2sin^2x-5cosx+1=0 [0, pie]
b) sinx/2=0 [-pie, pie]
c) cos2x=cos^2x [0, 2pie]

Click here to see answer by Alan3354(30993)

Question 177119: For the function, g(x)=2x^3-3x^2-9x+8/2x-1, I used long division and got: y=x^2-x-5.
So how do you find the vertex of the parabolic asymptote?
Click here to see answer by Alan3354(30993)

Question 177048: Write the algebraic representation and state the domain of the function (f(g(x)), where f(x)=square root (x-2) and g(x)=x^2 +1
Click here to see answer by HyperBrain(694)

Question 177210: 10) Factor 2n^2 + 3n – 1

11) Solve the equation 2y^2 + 10y = -12

can you please show the work......thanks

Click here to see answer by solver91311(16897)

Question 177035: Solve equations
x/3 = 4/x+1
-------------
-3/x = x/-3
Click here to see answer by nerdybill(6963)

Question 177209:

Click here to see answer by nerdybill(6963)

Question 177209:

Click here to see answer by madhan_math(34)

Question 177214: Factor 3m^2 – 75

this is my last one....thanks
Click here to see answer by madhan_math(34)

Question 177206: If (log_9)4=a and (log_27)5=b, find and expression in terms of a and b for log_(square root over 3)40
Click here to see answer by stanbon(57415)

Question 177213: 1) Factor: –15x6 =

factor: 2) x² + 2x=
can u show steps please
Click here to see answer by stanbon(57415)

Question 177049: Verify algebraically, that (Fof^-1)(x)=x for f(x)=1/(2x+4)
Click here to see answer by Earlsdon(6288)

Question 177243: i'm suppose to factor completely and can you please show the steps, thank you

61) 12x3 + 16x2 – 400x

62) x3 + 3x2 + 2x + 6

63) x2 – 3x + 2

Click here to see answer by jim_thompson5910(28598)

Question 177236: factor completely 2x^2 – 128

find all positive and negative intergers b for which the polynomial can be factored.
2x^2 + bx – 15
Click here to see answer by jim_thompson5910(28598)

Question 177251: I'm suppose to factor:
34) 3x2 + 6x – 24

35) 4x2 + 4x –15

Click here to see answer by jim_thompson5910(28598)

Question 177252: can you help me simplify a^2(ab^2)^2
Click here to see answer by jim_thompson5910(28598)

Question 177257: I need help in remeberinng the steps to FACTORING.
x^6y^6-x^3y^3
Click here to see answer by jim_thompson5910(28598)

Question 177273: Please help me solve this equation:
1/6(3y-2)=1 -1/3(y-1)
This is what I have come up with:
1/2y -1/3 = 1 -1/3+1/3, then I multiplied both sides by GCF of 6 to give me:
3y -2 = 6 -2y+2, then combine like terms
3y -2 = 4 -2y,
5y = 6
y = 6/5
When I try and plug in my answer it doesn't check:
1/6(18/5 -2) = 1 -1/3(6/5 -1), multiply by GCF of 15,
15(3/5 -1/3) = (1 -6/15 + 1/3)15
9 -5 = 15 -6 +5 Does not check
Thank you,
Betty
Click here to see answer by jim_thompson5910(28598)

Question 177042: Prove the following identity: -sin^2x-sin^2y+1=cos(x+y)cos(x-y)
Click here to see answer by Edwin McCravy(8920)

Question 177330: I need to factor these problems and can u please show the work.
6) 8x2 + 8x – 6

7) 12y3 + 28y2 + 8y

8) 9x3 – x

Click here to see answer by stanbon(57415)

Question 177329: please factor
12) 9x5 – 18x4

13) z4 - 16

14) x3 – 27

Click here to see answer by Fombitz(13828)

Question 177336: i need help simplifying (2w)^3*(2w^2)^2 if u could would u work it out?
Click here to see answer by gonzo(654)

Question 177361: Write each polynomial in standard form. Then classify it by degree and number of terms.

1. 4x4 + 6x3 –2 – x4

2. 9x2 – 2x + 3x2

3. 4x(x – 5)(x + 6)

Click here to see answer by Mathtut(3670)

Question 177369: This is one question with different parts
Identify the degree of each term of the polynomial and the degree of the polynomial.
-3x^3+6x^2+4x+2
What is the degree of the first term?
What is the degree of the second term?
What is the degree of the third term?
What is the degree of the fourth term?
What is the degree of the polynomial?
Any help is much appreciated!!!!
Click here to see answer by Mathtut(3670)

Question 177366: Divide using long division.

21. (x3 + 9x2 + 26x + 24) ÷ (x + 4)

22. (2x3 – 11x2 + 2x + 15) ÷ (x + 1)
Click here to see answer by Mathtut(3670)

Question 177363: Write a polynomial function with rational coefficients in standard form with the given zeros. [] means square root.. please help

10. 2, 3, 5

11. [3], 2i
Click here to see answer by Mathtut(3670)

Question 177351: Rational Exponents
Rewrite with a ration exponent
7 ___
\/ 21
(it is the square root of 21 with a little 7 at the top of the beginning)
Please help, thank you so much.
Click here to see answer by jim_thompson5910(28598)

Question 177417: **these problems has to be factored.... please help... i have been doing these problems for homework and these are my last four.*****they are due tomorrow. we had a week to do...614 problems....please help
612) 9x5 – 18x4 = 9x^4(x-2)

613) z4 – 16=(z^2+4)*(z^2+4)*(z-2)*(z+2)

614) x3 – 27=(x-3)*(x^2+3x+9)

615) Solve: 25x2 – 64 = 0

Click here to see answer by stanbon(57415)

Question 177416: I need to factor completely
209) 16x2 – 40x + 25

210) 2y3 – 16

211) x4 + 125x

Click here to see answer by jim_thompson5910(28598)

Question 177333: i need help with simplifing this problem please help! if u can please work it out for me (2w)^3*(2w^2)^2
Click here to see answer by ankor@dixie-net.com(15664)

Question 177378: Find the polynomial for the perimeter and for the area.
c+3
_____
|_____| c
(this is a square with c+3 on top and c on the right side)
What is the perimeter (Simplify Do not factor)
What is the area (Simplify Do not factor)

Click here to see answer by Fombitz(13828)

Question 177495: 4x/5=12/3x
Solve the proportion.
My Attempt: 4x*3x=12*5
12x^2=60
12x^2/12=60/12
x^2=5

Click here to see answer by jim_thompson5910(28598)

Question 177553: Use the Binomial Theorem or Pascal's Triangle to expand each binomial.

35. (x + y)4

36. (4 – 3x)3
Click here to see answer by stanbon(57415)

Question 177556: (x+2)(x-3)
Click here to see answer by Mathtut(3670)

Question 177551: Evaluate each expression.

29. 4!

30. 8i/6i 2i

31. 6C3

32. 7P2
Click here to see answer by stanbon(57415)

Question 177549: Solve each equation.
15. (x – 1)(x2 + 5x + 6) = 0

16. x3 - 10x2 + 16x = 0

17. (x + 2)(x2 + 3x – 40) = 0

18. x3 + 3x2 – 54x = 0
Click here to see answer by OnlyJust(1)

Question 177550: Use the Rational Root Theorem to list all possible rational roots for each equation. Then find any actual roots.

27. x3 + 2x2 + 3x + 6 = 0

28. x4 – 7x2 + 12 = 0
Click here to see answer by Mathtut(3670)

Question 177548: For each function, determine the zeros and their multiplicity.

12. y = (x – 1)2 (2x – 3)3

13. y = (3x – 2)5(x + 4)2

14. y = 4x2(x + 2)3(x + 1)
Click here to see answer by Fombitz(13828)

Question 177620: Hi everyone. I am having a little problem with word problems for my math class I was wondering if anyone could help me out? One of the problems in class is:
A sample of 124 firecrackers contained 9 duds. How many duds would you expect in a sample of 1488 firecrackers? What steps do I need to take in order to find the answer and how do I set this problem up?
Click here to see answer by stanbon(57415)

Question 177681: Find the variation constant and an equation of variation where y varies directly as x and y=24 when x=3.
The variation constant is k=?
The equation of variation is y=?

Click here to see answer by solver91311(16897)

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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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, 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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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