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

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

Question 331560: solve. (x+13)(x-10)(x+8)>0

Click here to see answer by JBarnum(2044)

Question 331561: Multiplty. (3√5-9√7)(2√5+6√7)

Click here to see answer by JBarnum(2044)

Question 331462: Find the exact area of a triangle with
a base of 30 meters and a height of 6 meters.
Click here to see answer by Alan3354(31519)

Question 331562: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=1/3(x+1)^2+4

Click here to see answer by Alan3354(31519)

Question 331466: how do you find the greatest common factor for the following term
ex. a2b,a3b2,ab
all of the numbers should be exponents
Click here to see answer by rfer(12730)

Question 331645: How do I divide a polynomial by a binomial?
(x² + 4x + 4)
(x + 2)
Click here to see answer by solver91311(17077)

Question 331666: x^2+10x+21
Click here to see answer by solver91311(17077)

Question 331668: 4x-40
Click here to see answer by solver91311(17077)

Question 331667: 4x^2-9y^2
Click here to see answer by solver91311(17077)

Question 331665: x(x+12)+11(x+12)
Click here to see answer by solver91311(17077)

Question 331450: A rectangular storage bin is to be made from a rectangular piece of sheet metal
12 cm by 10 cm, by cutting out equal corners of side x and bending up the
sides. Find x if the storage bin is to hold 90cm³(volume).
I got up to here and I am stuck
4x³ - 44x²+ 120x + 90 = 0
However, my question is worth 8marks and I dont think i am allowed to use a graphic calculator to work it out. How do i answer this question properly?

Click here to see answer by scott8148(6628)

Question 331703: Factor completely, if polynomial is prime state it
4x^2 - 25

I am not quite sure how to so this problem would someone please help me out
Thank you
Click here to see answer by nerdybill(7003)

Question 331702: solve
x^2 + 2x -35 = 0

could someone please help me with this problem?
Click here to see answer by nerdybill(7003)

Question 331764: The mainsail of a Lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24-ft tall mainsail has a leech length of 26 ft and if Dacron sailcloth costs $10 per square foot, find the cost of a new mainsail.

Click here to see answer by mananth(12270)

Question 331784: factor. 56-15c+c^2
Click here to see answer by Alan3354(31519)

Question 331790: Multiply and simplify by factoring. Assume that all expressions under radical represent nonnegative numbers. ∛y^13 ∛81y^14

Click here to see answer by jrfrunner(365)

Question 331855: How can I solve 98a^4 -72b^2?
Click here to see answer by Alan3354(31519)

Question 331870: w^2 + 2w -8/6w^2 + 36w -48=
Click here to see answer by mananth(12270)

Question 331920: Are you able to help me please:
Solve for X
1. ((4x+3)/(2x-1))=2/5
2. x/5-((2x-5)/(3))=3/4
Click here to see answer by ankor@dixie-net.com(15746)

Question 331994: To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population?
Click here to see answer by ankor@dixie-net.com(15746)

Question 331993: If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?
Click here to see answer by rfer(12730)

Question 331999: Please factor x^6+x^4+x^2+1, I tried and got (x^2+1)(x+1), but i'm not sure if that's correct. Thank you!
Click here to see answer by Alan3354(31519)

Question 332031: Find all the numbers which the rational expression is undefined.
4 over 9y+7
This is supposed to be a fraction
Click here to see answer by user_dude2008(1861)

Question 332038: solve
x+7 OVER x = -8
I'm so lost
Click here to see answer by user_dude2008(1861)

Question 332051: A couple more that I am stuck on are.
1. Simplify by removing factors of 1.
5s^2+5s
_______
<---Line is for fraction
30s^2+25s

2. Simplify by removing factors of 1.
n^2-1
_______
(n+1)^2

3.Multiply and simplify...
4a^3 49v^8
____ _____
*
7v^6 16a
Click here to see answer by user_dude2008(1861)

Question 332062: so im supposed to factor this trinomial
5x^2 - 5x - 30
but the teacher wants in in simplest factored form. my choices are
a 5(x - 2)(x + 3)
b (5x + 10)(x - 3)
c 5(x + 2)(x - 3)
or d prime polynomial.
now i notice that B and C are pretty much the same. which is factored more completely?
Click here to see answer by jim_thompson5910(28715)

Question 332064: Simplify by removing factors of 1
n^2-1/(n+1)^2
Click here to see answer by jim_thompson5910(28715)

Question 332074: how would you solve this equation.
10ab-6b + 35a-21
Click here to see answer by Alan3354(31519)

Question 332077: Please help me factor the following completely:
6x^2-11x+3
Click here to see answer by jim_thompson5910(28715)

Question 332078: Please help me factor the following completely:
6x^2-13x-5
Click here to see answer by jim_thompson5910(28715)

Question 332076: please help me solve the following equation:
a^-1-3a^-2/2^-2
Click here to see answer by Alan3354(31519)

Question 332082: divide and simplify...I know when dividing we flip the second fraction over, but I am so confused when it comes to multiplying these..heres the example
x^2-49/x divided by x-7/x+6
Click here to see answer by user_dude2008(1861)

Question 332070: how would i solve this problem? or these types of problems?
(3z+2)(z+4) - (z+6)(z+4)
Click here to see answer by ankor@dixie-net.com(15746)

Question 332080: Please help me factor the following completely:
7x^2+9x+2
Click here to see answer by scott8148(6628)

Question 332079: Please help me factor the following completely:
4x^2-11x-3
Click here to see answer by scott8148(6628)

Question 332115: factor by grouping

Thank you
Click here to see answer by nerdybill(7003)

Question 332113: factor completely. if polynomial is prime state this

could someone please help me I am really confused
thanks
Click here to see answer by ankor@dixie-net.com(15746)

Question 332065: Jack bought a new digital camera as a birthday present for his wife, but by the time he needed to record the purchase in his checkbook register, he forgot how much he had paid for it (let’s just call this amount "x"). He only remembered one small detail: six (6) less than the square of this amount is equal to the amount itself. How much did he pay for the camera?
Click here to see answer by ankor@dixie-net.com(15746)

Question 332112: factor completely. if polynomial is prime state this

I could really use so help I am really confused
thanks
Click here to see answer by Earlsdon(6294)

Question 332163: I need help on factoring this equation
5w^2 - 25wz + 30z^2
Thank you very much! : ]
Click here to see answer by mananth(12270)

Question 332185: I need your help please
(xy-ab-6)-(xy-3ab-5)=
Click here to see answer by texttutoring(324)

Question 332086: Two bottles have capacities in the ratio 4 to 7. The smaller bottle holds 6 ounces more than half of the larger bottle. How many ounces will the smaller bottle hold?
Please help! Thanks!
Click here to see answer by edjones(7569)

Question 332237: Multiply & Simplify:
(t-2)^3/(t-1)^3 * t^2-2t+1/t^2-4t+4
Find the Reciprocal:
y+5/2y divide by y^2-25/4y^2
Click here to see answer by mananth(12270)

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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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