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

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

Question 375725: Simplify the following product of complex numbers.
(5 + 3i) · (6 – 2i)
Click here to see answer by robertb(4012)

Question 375726: Simplify the following quotient of complex numbers into the form a + bi.
-9 + 8i
______
1 +2i
Click here to see answer by robertb(4012)

Question 375727: Simplify the following expression; express in terms of i.

Click here to see answer by robertb(4012)

Question 375710: Simplify the following expression.

**note: I'm not sure if the * sign should be in between the square roots as it does not show up like such in the original equation. I am absolutely confused on this one so any help would be great!**
Click here to see answer by robertb(4012)

Question 375709: Simplify the following expression; express in terms of i.

Click here to see answer by robertb(4012)

Question 375703: Use scientific notation to multiply the following two numbers. Express the answer using scientific notation; retain all nonzero decimal places.
(2.6 · 10^2) · (7.3 · 10^3)
Click here to see answer by robertb(4012)

Question 375691: Can students factor expression using the greatest common factor, and can they factor binomials containing the difference in two perfect squares and the sum and difference in two perfect cubes?
Click here to see answer by robertb(4012)

Question 373241: Let f(x)=-8+3^(x+7).Find the domain and range of f(x).
D:__________
R:__________
Click here to see answer by robertb(4012)

Question 375733: 15^3 * 15^2=
Click here to see answer by mananth(12270)

Question 375684: how do I Ruling out values for x 3x/x-7
Click here to see answer by Fombitz(13828)

Question 375705: Convert to scientific notation: 0.00694
Any help would be greatly appreciated!
Click here to see answer by Fombitz(13828)

Question 375758: Simplify the following quotient of complex numbers into the form a + bi.
7 - 8i
-------
-2 + 8i
Click here to see answer by Fombitz(13828)

Question 375775: solve:
a^2-6a-27=0
help?
Click here to see answer by ewatrrr(10682)

Question 375775: solve:
a^2-6a-27=0
help?
Click here to see answer by jessica43(140)

Question 375778: solve:
c^2+3c-54=0
help?
Click here to see answer by ewatrrr(10682)

Question 375779: solve:
3x^2=15
help?
Click here to see answer by Earlsdon(6287)

Question 375773: factor:
21-10a+a^2
help?
Click here to see answer by ewatrrr(10682)

Question 375772: solve:
x^2+6x-4=0
help?
Click here to see answer by ewatrrr(10682)

Question 375783: Find the x-intercepts for the graph of the equation y=x^2-3x-4.
The x-intercepts are _________
help?
Click here to see answer by Fombitz(13828)

Question 375783: Find the x-intercepts for the graph of the equation y=x^2-3x-4.
The x-intercepts are _________
help?
Click here to see answer by ewatrrr(10682)

Question 375780: Multiply and simplify
(25a^2)/(2a^2-12a+18)*(2a-6)/5a
Type exponential notation with positive exponents. Help?
Click here to see answer by Fombitz(13828)

Question 375788: Can someone help me with this?
Find all numbers for which the rational expression is undefined.
(q^3-8q)/(q^2-16)
Click here to see answer by Fombitz(13828)

Question 375707: Simplify the following product of complex numbers.
(5 + 3i) · (6 – 2i)
Any help would be appreciated!
Click here to see answer by jessica43(140)

Question 375792: Add. Simplify if possible. help?
8u/(u^2-64)+u/(u-8)
Click here to see answer by Fombitz(13828)

Question 375794: Subtract. Simplify by collecting like radical terms if possible.
5√20-8√5
I need help???
Click here to see answer by Fombitz(13828)

Question 375785: simplified the expression x² • x³ as 2x5. Unfortunately, this answer as incorrect, why?
Click here to see answer by Fombitz(13828)

Question 375777: √(7&18)
Click here to see answer by Fombitz(13828)

Question 375706: Subtract the complex expressions, and simplify.
(-4.5 + 4.4i) – (3.2 – 9.6i)
Guys I am really struggling with this class... I just can't seem to get anything to stick. Can someone please help me out?
Click here to see answer by jessica43(140)

Question 375791: Television sets: What does it mean to refer to a 20-in tv set or a 25in tv set? such units refer to the diagonal of the screen. A 25-in tv set also has a width of 20 inches. What is its height?
What is the height of a 25-in tv? _________inches.
Please help
Click here to see answer by jessica43(140)

Question 375708: Simplify the following quotient of complex numbers into the form a + bi.
-9 + 8i
______
1 +2i
Click here to see answer by Fombitz(13828)

Question 375540: Without performing and mathematical calculations explain why there cannot be any solutions to the equation.
√2x^2-4 + 2√3-4x +1= -6
Click here to see answer by Fombitz(13828)

Question 375786: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
9x^2-3x+18=0
What is the value of the discriminant? ________
A: The equation has two imaginary solutions
B: The equation has two real solutions
C: the equation has one real solution
Can someone help?
Click here to see answer by Fombitz(13828)

Question 375915: This is my last problem on this assignment and I can't figure the thing out, HELP PLEASE???
Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression.
(-23x^4y^0/ 92x^-2y^-3) ^-3
Click here to see answer by jim_thompson5910(28595)

Question 375913: Algebra is getting the best of me! could someone please help me with this problem?
Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression.
(-37x^-1y^-2 / 74y^3 )^-2

Click here to see answer by Alan3354(30993)

Question 375960: 7^(2) * 7^(12)
Click here to see answer by jim_thompson5910(28595)

Question 375998: I am trying to see if this is the write answer for this problem.
((2)/(x+1))+((3)/(x-4))
What I got was
(5x-5)/(x+1)(x-4)
Click here to see answer by Fombitz(13828)

Question 376006: Simplify the following expression, and rewrite it in an equivalent form with positive exponents.
-11x^4y^-2/55x^-5y^-1
Can someone please show me the steps to this? I am lost!
Click here to see answer by Fombitz(13828)

Question 375971: I have been racking my brain on how to do this. Please help!
How would you completely factor the polynomial: 135^6y^2-60y^2? I don't need the answer, I just need to know how to do this. I know I had to find the GCF.
This is as far as I got; 5(27^6y^2-15y^2)I don't even think that is right. Please help. I need this by Friday Nov. 26. Thanks for any help you can give me.

Click here to see answer by Alan3354(30993)

Question 376014: Determine whether (-3,1) is a solution of the following system of equations:
y=-1/3 x
3y=-5-12

Click here to see answer by solver91311(16897)

Question 375997: I am trying to find the answer to this, and I'm having a lot of problems.
((3x+1)/(9x^2-1)) - ((2)/3x-1))
Click here to see answer by nerdybill(6962)

Question 376001: Two Similar questions here. I wanted to know to know if I did this one correctly.
((3/xy)+(2))/((4/x)+(3/y))
I got (3+2xy)/(4y+3x)
And I wanted help on this one.
((5/x)+(3/y))/((2)-(3/xy))
Thank you.
Click here to see answer by Fombitz(13828)

Question 375410: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)=-2x^2+2x+5
vertex=
the line of symmetry=
the maximum/minimum value of f(x)=
graph the function?
Help?
Click here to see answer by nyc_function(2733)

Question 376071: sqrt(34-5)
Click here to see answer by corncob(8)

Question 376119: need to divided this problem
x^4-10x^2+31/x^2-5
dont know where to start any help would be helpful
Click here to see answer by jim_thompson5910(28595)

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, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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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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