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

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

Question 94972: Rewrite the middle term as the sum of two terms and then factor completely
4z³ -18z² - 10z
Click here to see answer by stanbon(57374)

Question 94957: Factor the expression.
a² (b - c) - 16b² (b -c)

Click here to see answer by bucky(2189)

Question 95037: If 2x^2+5x-3=0 and x>0, then what is the value of x?
I'm having trouble with the test booklet explanation.
It indicates to factor (2x-1)(x-3)=0, but for some reason I am having trouble understanding what happens to the 5x. Maybe it is the factoring portion I am drawing a blank on. Please assist me with step by step details. Thank you.
Click here to see answer by williacy(2)

Question 95072: 8/(2a - 2b) - 3b/(a^2-B^2)
PLEASE HELP ME, NEED TUTORING ON THIS, PLEASE STEP BY STEP, ON A TEST TOMORROW, VERY CONFUSED??
Click here to see answer by stanbon(57374)

Question 95081: 8/2a-2b - 3b/a^2-b^2

HELP PLEASE!
Click here to see answer by tutorcecilia(2152)

Question 95084: y^2-9/4*8/y+3
y^2 - 9 = (y + 3)(y - 3)
= 4 * (y + 3)
I need help in knowing if this is this right? because Im not sure?? If its not, may you please go over it step by step with me please???
Click here to see answer by checkley71(8403)

Question 95086: y^2-9/4*8/y+3
Im sorry i had wrote this problem earlier, it was all one problem, but i was showing the work i had done. . . please help me, thank you.
Click here to see answer by tutorcecilia(2152)

Question 95071: 2a+6/(a^2+6a+9)+1/a+3

Please Help me, I need to understand how to do these kinds of problems. . .

Click here to see answer by ankor@dixie-net.com(15656)

Question 95172: A plane flies 720 miles against a steady 30m/h headwind and then returns to the same point with the wind. If the entire trip takes 10h, what is the planes speed in the air?
Click here to see answer by stanbon(57374)

Question 95171: Ariana took 2 hours longer to drive 360 miles on the first day of a trip than she took to drive 270 moles on the second day. If her speed was the same on both days what was the driving time each day?
Click here to see answer by checkley71(8403)

Question 95194: Four problems I don't understand
1.) Write 9.03 * 10^–2 in standard notation
2.)List the terms and coefficients. 8x^3 – 4x^2 + 3
3.)Simplify. (m^5)^8
4.)Evaluate. 4^–5
Click here to see answer by stanbon(57374)

Question 95198: Simplify the rational expression
12x^3/4x
A)8 B)8x^2 C)3x D)3x^2
Click here to see answer by stanbon(57374)

Question 95203: A cyclist bikes at a contest speed for 18 miles. He then returns home at the same speed. His return trip takes one hour longer and is 23 miles. Find his speed.

A) 6mph B)4mph C)7mph D)5mph

Click here to see answer by stanbon(57374)

Question 95206: Write using positive exponents, and simplify if possible.
(–3x)–2
A) 1/6x^2 B)9/x^2 C) 1/9x^2 D)- 9/x^2

Click here to see answer by checkley71(8403)

Question 95206: Write using positive exponents, and simplify if possible.
(–3x)–2
A) 1/6x^2 B)9/x^2 C) 1/9x^2 D)- 9/x^2

Click here to see answer by stanbon(57374)

Question 95204: Five divided by the difference of a number and 12 equals the quotient of 10 and the sum of the number and 5. Find the number.
A)-19 B)29/3 C)29 D)17/5
Click here to see answer by edjones(7569)

Question 95200: Multiply. Simplify if possible
x^2+16x+63/x^2+17x+72 X x^2+8x/x^2+2x-35
A)x(x+8)/x-5 B)1/x-5 C)x/x-5 D)x/x^2+17x+72

Click here to see answer by edjones(7569)

Question 95160: I NEED HELP - OH PLEASE!!!I need to determine the outside dimensions of a large container. some of the info, which I am not sure is needed...they will need 5.15 cubic feet of steel, which will make the tank 1/2 inch thick...the width is 1 foot less than the length, the height is 9 feet more than the length. Thanks for the help!
l

Click here to see answer by scott8148(6628)

Question 95233: , Im an oI need help multiplying polynomialsnline student.
(3x +4) (x^2 -5x +1)
I'm not sure if I even started this problem right
but here is what I have done so far, I was using the foil message, but I don't think I did it right
3x(X^2) + 2x(1) + 4(x^2) + 5(3)

Click here to see answer by samuel nkadi(2)

Question 95132: it says, Identify the independent and dependent quantity in each situation
5. The amount of money earned babysitting increases with the number of hours spent baby sitting.
6. The cost of a skating party increases with the number of people attending the party.
7. The volume of water in a bathtub decreases with the number of minutes it has been draining.
8. The number of people attending the event decreases with the total cost for tickets.
Click here to see answer by stanbon(57374)

Question 95195: Simplify the rational expression
21 - 7x/18 - 6x
A)3 B)7/6 C)-7/6 D)-3

Click here to see answer by checkley71(8403)

Question 95175: Fungicides account of 1/10 of the pesticides used in the United States. Insecticides account for 1/4 of all pesticides used in the United States. The ratio of fungicides to insecticedes used in the United States written 1/10 (divided) 1/4. Write this ratio in simplest form.
Click here to see answer by stanbon(57374)

Question 95173: w+3/4w / w-3/2w
Click here to see answer by stanbon(57374)

Question 95281: I have a problem I need help with please,
Nine more than four times a number is the same as one less than twice the number. find the number?
Click here to see answer by scott8148(6628)

Question 95390: Tutor any help would help!!!
Factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms.
3a^3 + 3ab^2 + 2a^2b + 2b^3
I have no clue how to begin on this. Thanks in advance.
Click here to see answer by stanbon(57374)

Question 95461: Is the following trinomial a perfect square?
x^2 – 14x + 49

Click here to see answer by stanbon(57374)

Question 95503: Can you please help? I multiplied both side by (x-1) but i don't think it's right.
Solve for x
x+1+(x/(x-1))=1/(x-1)
Thank you
Click here to see answer by stanbon(57374)

Question 95501: The following trinomials is in the for ax(2) + bx + c. For each trinomial find two integers that have a product of ac and sum of b.
15t(2) - 17t - 4
Click here to see answer by stanbon(57374)

Question 95498: Find the greatest common factor (GCF) for each group monomial.
16x (2) z, 40 x z(2), 72z(3)
Click here to see answer by stanbon(57374)

Question 95512: Okay I really do not understand this chapter could you please help with this problem also?
Determine whether each of the following trinomials is a perfect square. If it is, factor the trinomial.
x^2 - 24x + 48
Could you please explain to me how I would even begin to solve this problem? Thank you for the help.
Click here to see answer by stanbon(57374)

Question 95511: I could use some help on this problem.
Factor the following trinomials.
16x^2 + 40xy + 25y^2
I am not sure I am understanding this section and would appreciate any help. Thank you.
Click here to see answer by stanbon(57374)

Question 95513: I am supposed to factor each expression.
for a^2(b - c) - 16b^2(b - c) could you tell me if I have this correct?
(ab-ac)^2 - (16b-16c)2.
The first section of the expression looks funny and I am beginning to think this is not even correct. Thanks for your help.
Click here to see answer by stanbon(57374)

Question 95514: Can you help me on this one? I've been working on it for a while and can't figure it out.Thank You.

The square of a number added to the original number is 90.
Determine all possible values of the number.
Larger Value:
Smaller Value:
Click here to see answer by bucky(2189)

Question 95519: Please, please help me, I have been working on this problem for 1 1/2 hours and cannot solve it. God Bless! Lin
An archery enthusiast was testing his new bow. He shot an arrow straight up from the top of a building 48 feet high with an initial velocity of 32 feet per second. The height of the arrow (h measured in feet) after t seconds in flight is described by the equation
h = 48 + 32t - 16t^2.
Determine the number of seconds after the arrow is shot that it will strike the ground.
t = ??? seconds

Click here to see answer by stanbon(57374)

Question 95469: Perform the indicated operation. Simplify if possible.
x/2 + 8x/9 = x/18
Click here to see answer by checkley71(8403)

Question 95464: Perform the indicated operation. Simplify if possible.
42/7x + 40/8x
Click here to see answer by checkley71(8403)

Question 95462: Perform the indicated operation. Simplify if possible.
2/15+x + x+2/15+x
Click here to see answer by checkley71(8403)

Question 95453: Factor each polynomial.
v(2) - 22v - 75
Click here to see answer by checkley71(8403)

Question 95452: Factor each polynomial completely.
t2 - 9w(2)
Click here to see answer by checkley71(8403)

Question 95451: Factor each polynomial completely.
2a(2) - 4a-2
Click here to see answer by checkley71(8403)

Question 95468: Perform the indicated operation. Simplify if possible.
x-4/x^2-2x-3 + 5x-2/x^2-7x+12
Click here to see answer by edjones(7569)

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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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