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

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

Question 757473: How do you factor things like 2xy^2 or 5xy^2
Click here to see answer by Alan3354(69443)

Question 757576: write an expression that represents the product of 3 less than x and five more than twice x
Click here to see answer by Cromlix(4381)

Question 757610: For what value of k, -4 is a zero of the polynomial x2 � x � (2k + 2)?
Click here to see answer by MathLover1(20849)

Question 757651: Solve the equation
In x+ In (x+2)=2
X=___

Click here to see answer by Alan3354(69443)

Question 757650: Solve the following exponential equation 5^x=8
X=____

Click here to see answer by Alan3354(69443)

Question 757705: Perform the indicated operation. Be sure the answer is reduced.
x+1/x-8 minus x/8-x =
A. 2x+1/x-8
B. 2x-1/x-8
C. 2x+1/x+8
Click here to see answer by solver91311(24713)

Question 757724: Factor: x^2-x-45
Click here to see answer by stanbon(75887)

Question 757768: Find the product of zeros of -2x2 +kx+6 .
Click here to see answer by josgarithmetic(39616)

Question 757768: Find the product of zeros of -2x2 +kx+6 .
Click here to see answer by Edwin McCravy(20054)

Question 757768: Find the product of zeros of -2x2 +kx+6 .
Click here to see answer by solver91311(24713)

Question 758051: 2x^3+5x^2-x-22 x=-3
Click here to see answer by stanbon(75887)

Question 758051: 2x^3+5x^2-x-22 x=-3
Click here to see answer by jim_thompson5910(35256)

Question 758016: How to convert 2.4 *10^-4 to standard notation?

Click here to see answer by oscargut(2103)

Question 758052: The given equation is either linear or equivalent to a linear equation. Solve the equation.
z/6=((3/10)z)+2
So far I have tried ...
0=((3/10)z)+2-(z/6)
0=z+2-(z/6)
-12=z-z
I've also tried ...
z=((3/10)z)+12
0=((3/10)z)+12-z
-12=((3/10)z)-z
-12/(-7/10)=((-7/10)z)/(-7/10)
-120/-7=z

Click here to see answer by oscargut(2103)

Question 758012: How do I work this problem? Please help.
( u-v/8v) + (6u - 3v/ 8v)
Click here to see answer by ankor@dixie-net.com(22740)

Question 758165: find the value of 1/(root3-root2-1) correct upto 3 decimals if root2=1.414 and root6=2.45.
Click here to see answer by ankor@dixie-net.com(22740)

Question 758299: Here is my question:
when p(x) is divided by x-1 the remainder is 1, and when divided by (x-2)(x-3) the remainder is 5. find remainder when P(X) is divided by (x-1)(x-2)(x-3).
here is part of my work:
let the quotient be Q(x), and let the remainder be ax+b
P(x)=(x-1)(x-2)(x-3)Q(X)+ax+b
P(1)=a*1+b=1 then a+b=1 (1)
then I don't know how to do with (x-2)(x-3) and the remainder is 5. Please help!
thanks

Click here to see answer by KMST(5328)

Question 758370: Write each area measurement in the specified unit:
288 in.^2; square feet
54 yd^2; square feet
48 ft^2; square inches
108 ft^2; square yards
Click here to see answer by MathLover1(20849)

Question 758618: Determine the roots of the equation x^2+4x=45 can you help me in the first steps
Click here to see answer by Cromlix(4381)

Question 758852: -x^7-9x^6-52x^5=
Click here to see answer by stanbon(75887)

Question 758867: Factor x� + 7x� - x - 7 completely
Click here to see answer by Edwin McCravy(20054)

Question 759002: The area of a rectangle is 96ft square.
The width is 4 less than the length.
What is the perimeter?
I am having trouble coming up with a formula for questions similar to this.
L*W = 96, and L-4=W is all I got.
Click here to see answer by Alan3354(69443)

Question 758980: If ax^3+bx^2+x-6 has (x+2) as a factor and leaves a remainder 4 when divided by (x-2).find the value of a and b?
Click here to see answer by solver91311(24713)

Question 759106: I need help please.
Factor and simplify 2x^2+5x+3/2x^2-x-6.
Answer Options:
A. x^2+5x+3/x^2-x-6
B. 5x+3/-x-6
C. x+1/x-2
D. It is already fully simplified.
Click here to see answer by rothauserc(4718)

Question 759113: Please help.
Solve for k in k/k+1=3/k^2-k-2
Answer Options:
A. k=-1 and k=2
B. k=-1 and k=3
C. k=3
D. k=-1
Thank you!
Click here to see answer by rothauserc(4718)

Question 759117: please help! solve my rational equation
4/5 + 7/8 = s/20

the solution is s= ??
Click here to see answer by jim_thompson5910(35256)

Question 759117: please help! solve my rational equation
4/5 + 7/8 = s/20

the solution is s= ??
Click here to see answer by MathTherapy(10551)

Question 759161: Find a polynomial equation of degree 3 with integer coefficients that has x=10, 2i, -2i as its solutions
Click here to see answer by josgarithmetic(39616)

Question 759180: use the formula t=.25 square root of d to answer each question.
how many seconds will it take a rock kicked off a 100-foot cliff to hit the water below?
I am confused on how to use the formula in the equation.
Click here to see answer by stanbon(75887)

Question 759110: I need help please.
Solve this proportion for the variable: x+2/x+6=x-4/x-2
Answer Options:
A. x=-10
B. x=7
C. x=10
D. x=-7
Click here to see answer by MathTherapy(10551)

Question 759181: divide polynomial f(x)=x3-10Xsquared+4x-40 by (x-2). State your answer as quotient +remainder/x-2
Click here to see answer by lwsshak3(11628)

Question 759171: x^2 - 25
Click here to see answer by lenny460(1073)

Question 759246: write as trinomial
(-11 tsquared-2)squared
Click here to see answer by Cromlix(4381)

Question 759244: x^3-x^2-x+1=0
Click here to see answer by nerdybill(7384)

Question 759258: write as trinomial. Please show solution.
(-6rs+s^2)^2
Click here to see answer by nerdybill(7384)

Question 759259: write as trinomial. Please show solution.
(-11t^2-2)^2
Click here to see answer by Alan3354(69443)

Question 759436: 15(2z + 1)^(3) + 10(2z +1)^(2)-25(2z +1)
Click here to see answer by MathLover1(20849)

Question 759696: This is subtracting rational expressions with the answer in factored form. I've been having trouble trying to figure this problem out. The r and x variables keep throwing me off when trying to subtract and find the common denominator. please help me
7x+3r..........................2x-r
______........----- _________
4xr^3 ........................x^2-r^2

Click here to see answer by stanbon(75887)

Question 759888: A solid block of yellow cedar used for carving is in the shape of a rectangular prism. It has dimensions of 20 cm long, 12 cm wide, and 10 cm in height. The carver wants to reduce the volume to 768 cm^3 by removing the same amount off all three dimensions. Write a polynomial function to represent this situation. Calculate how much he should remove from each dimension algebraically.
The answer is 4 cm is to be removed, I need to see the steps! ANY HELP APPRECIATED THANKS!
Click here to see answer by rothauserc(4718)

Question 759968: Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
Click here to see answer by stanbon(75887)

Question 760008: I have no idea how to go about this problem...or where to start. Iknow this has to do with the distance, time, and rate process but I'm still not sure how to go about this problem or to solve it. Help me please :(
An airplane flies 1,050 km with the wind . In the same amount of time, it can fly 750 km against the wind. The speed of the plane in still air is 200 km/h. Find the speed of the wind.
Click here to see answer by sachi(548)

Question 760013: please help me with this problem ): I have no idea where to begin and how to solve this. help! ): ):
Sarah can build a fence in 9 hours. Joe can do the same in 6 hours. How long would it take them working together, to build the fence?
t=time together
1=the completed job
t/9=fraction of fence built by Sarah in t hours
t/6=fraction of fence built by Joe in t hours.
Click here to see answer by josgarithmetic(39616)

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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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