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

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Question 27810: I would really appreciate any help you could can give me regarding the two following problems. The instructions are to Factor the polynomial. I have been able to do the others, but for some reason these two have me stuck.
Factor Completely
Problem One - 64-(r+2t)^2
Problem Two - -k^2-h^2+2kh+4
Thanks in advance for your assistance

Click here to see answer by Earlsdon(4898)

Question 27809: 5 out of 8 into a percent
Click here to see answer by MOD(6)

Question 27865: Factor each of the following polynomials completely.
14x^2 - 20x + 6
Please help. I am completely lost.
Thank You.
Click here to see answer by bmauger(101)

Question 27864: Find all positie values for K for which each of the following can be factored.
x^2 + x - k
Thank you for your help.
Click here to see answer by bmauger(101)

Question 27861: Factor each of the following trinomials completely.
x^2-11x-60
Help me please.
Thank You.
Click here to see answer by Earlsdon(4898)

Question 27863: Factor each of the following trinomials completely.
2a^3-52a^2b+96ab^2
Help.
Thank You.
Click here to see answer by Earlsdon(4898)

Question 27901: Find all real zeros of the polynomial function.
f(x)=-8x^4+648x^2
I just can't seem to figure this one out.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27980: could you show me how to solve this problem??
|k-2|=4
Click here to see answer by akmb1215(68)

Question 27981: here's another one I dont understand
|b+2|< -1
Click here to see answer by akmb1215(68)

Question 27988: 6t-15=123
Click here to see answer by robert101(4)

Question 27972: Factor the following trinomials.
16x^2 + 40xy + 25y^2
Thank you.
Click here to see answer by robert101(4)

Question 27971: Determine whether each of the following trinomials is a perfect square. If it is, factor the trinomial.
x^2 - 24x + 48
Help
Thank you.
Click here to see answer by robert101(4)

Question 27997: i am suppossed to simplify this rational expression. i did a whole page of them just fine but this one has had me stuck for over an hour. can you please help me 6x^3y^2-51x^2y^2-9xy^2 over 4x^4y+4x^3y+x^2y
i factored a 3xy^2out of the top and a x^2y out of the bottom. i know i should have 3xy^2(2x^2-17x-3)over x^2y(4x^2+4x+1) then i need to end up with something like (2x-?)(x+?) over (?+?)(?+?)
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27970: I have been hitting and missing on most of the online tutorials and I need some interaction with a human for a better understanding of division of the following
2x^2 + 5x – 12/ 9x^2 – 16 ÷ 2x^2 – 7x + 6/3x^2 – x – 4

in this case would I subtract the 2x^2 from the 9x^2 etc and simplify this before doing the division?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27969: Factor the following binomials.
25x^2 - 81y^2
Help me.
Thank you.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28055: Rewrite this formula by factoring out the greatest common factor on the right hand side.
A=P+Prt
I came up with P(r+t) but I do not think this is right when you multiply it out to check it does not come out to the original problem.
Click here to see answer by bosun1(3)

Question 28082: Find (-4ab)(-3c)could someone please help me with this
Click here to see answer by longjonsilver(2297)

Question 28123: Factor out greatest common factor. Simplify the factors, if possible.
3x(2x-5)+4(2x-5)
Click here to see answer by Earlsdon(4898)

Question 28074: I need to put the following in the lowest terms 8t^3 + 27 and 27^3 + 1.
Click here to see answer by Earlsdon(4898)

Question 28105: Which polynomial can be factored over the set of polynomials with the integer coefficients?
A) x^2+5x+10
B) x^2+5x-14
C) x^2-5x-10
D) x^2+5x+14
I have no idea even after reviewing my textbook how to do this? can someone explain how to get the answer?
Click here to see answer by venugopalramana(3286)

Question 28143: Question: Use a method to determine the LCM for
(9x^3-9x^2-18x) and (6x^5-24x^4+24x^3)
What is the LCM?
Please help! Thank you!
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28116: How do you solve polynomial equation?
example: 15n(n+15) = 0
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28147: 12^2+17x+6=___?
A. (3x+2)(4x+3)
B. (3x-2)(4x-3)
C. (12x+2)(x+3)
D. (12x+1)(x+6)
I factored all of these out and I get a little hung up..I beleive that C is the answer..but I can never figure out how you get the 17 in the middle?
Thank you for your help!
Click here to see answer by longjonsilver(2297)

Question 28314: I am having the hardest time with this!
Which polynomial can be factored over the set of polynomials with integer coefficients?
A) x^2+9
B) x^2-5
C) x^2-49
D) -24,36
Would I be correct in saying that the answer is C? I tried and tried before I decided to ask....Thank you!
Click here to see answer by Dave(1)

Question 28315: A square has an area of 9x^2+12xy+4y^2. What is the length of a side of the square?
I know the formula is A=s^4...however I think that this answer is 3x+2y? Is that right by any chance?
Click here to see answer by josmiceli(3003)

Question 28352: 4ysquard+9y-28=0
Click here to see answer by elima(1433)

Question 28396: Will you simplify this for me?

4y(2y^2-3y)-3y^2(y-4)
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28513: i have to factor this polynomial: t^2h+3t would the answer of that term be t(ht+3)?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28318: 13x-78xy2
Click here to see answer by LilSkittleMd(119)

Question 28216: What are the solutions to the equations
x(3x+1)(4x-1)=0
A) x=0 or x=3 or x=-4
B) x=0 or x=1/3 or x=-1/4
C) x=0 or x=-1/3 or x=1/4
D) x=0 or x=-3 or x=4
None of these seem to equal 0 when I calculate them? can you show me how?
Thanks a bunch!
Click here to see answer by LilSkittleMd(119)

Question 28517: Which polynomial can be factored over the set of polynomials with integer coefficients?
A) x^2+9
B) x^-5
C) x^2-49
D) x^2+2
I think it may be C?
Click here to see answer by venugopalramana(3286)

Question 28576: How do you factor difference of squares?

Click here to see answer by Earlsdon(4898)

Question 28581: i missed a day of class and am completely stuck on this problem.
Use substitution to determine whether x+2 is a factor of x^3+4x^2+5x+2.
I have no idea of how to go about this problem, help is greatly appreciated.
Thanks, Kirstie
Click here to see answer by askmemath(368)

Question 28586: Please help me with solving this question below. It is in my algebra review test:
Find the missing polynomial:
(4x^2 - 3x + 2) - (x^2 + x + 2) + (?) = 5x^2 + 3x -2
so you would take the brackets away, but according to the distributive property, you would have to reverse the signs on the variables in the second brackets. thus:
4x^2 - 3x + 2 - x^2 -x -2 + (?) = 5x^2 + 3x - 2
then you group the like variables together right?:
3x^2 + 4x + (?) = 5x^2 + 3x -2
now i'm stuck, because i dont know what ONE variable will make the statement true. The answers in the back of my book say that the answer to this question is 2x^2 + 7x -2, which confuses me, because i thought that the question was asking for one missing variable... Am i reading the question wrong or am i not doing the question right?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28687: Multiply. Write the answer in scientific notation.
(2.4 x 10^-5)(4 x 10^-4)
Please Help.
Thank you
Click here to see answer by stanbon(26259)

Question 28606: How do you factor trinomials?
thank you
Click here to see answer by longjonsilver(2297)

Question 28598: Im totally stumped.
Find the value of k that makes the linear expression a factor of a cubic expression.
kx^3-2x^2+x-6;x+3
could you show the steps or explain how?
Thanks
Click here to see answer by longjonsilver(2297)

Question 28644: Find all the negative odd intergers that satisfy the following inequality
-3x+1 _<_ 17
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28444: suppose y varies inversely as x and y=5 when x=20. find x wehn y=2
Click here to see answer by emmychan(11)

Question 28808: find the sum 3m-4n-7,and 7n+2
find the sum -7xy+15xy+(-11xy)+(-xy)+2xy
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27904: Simplify
2- 1/3
--------
4 + 11/3
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28814: WHICH OF THE FOLLOWING EXPRESSIONS REPRESENTS THE PRODUCT OF 3 LESS THAN TWICE X AND 2 MORE THAN THE QUANTITY 3 TIMES X ?
a. -6x2 + 25x +6
b. 6x2 + 5x + 6
c. 6x2 - 5x + 6
d. 6x2 - 5x - 6
e. 6x2 - 13x - 6
(don't know how to make the power 2 on the keyboard)
Basically I'm studying for a placement test...been yrs I can do the problems but don't understand the question ANY HELP WOULD BE GREAT thanks
Click here to see answer by josmiceli(3003)

Question 28800: I've tried to work this out, I have one answer to the solution set, and I thought I had the others, but according to the answers in the back of the book, I don't! I was wondering if you can help.
(Solve each polynomial equation by factoring and then using the zero-product principle) 2x-3=8x(cubed)-12x(squared)
I set it to zero--- 8x(cubed)-12x(squared)-2x+3=0 I then factored by grouping.
(8x(cubed)-12x(squared)) (-2x+3) In the first set, I factored out a -4x(squared) leaving the equation like so.... -4x(squared)(-2x+3) and then the other set, I just set to zero like so....-2x+3=0.
The first equation I set -4x(squared) to zero....-4x(squared)=0, divided by -4 leaving x(squared)=-4 the other set I did the following.... I subtracted 3 from both sides, leaving -2x=-3. I then divided by -2 on bothe sides leaving x=-3/-2, giving me the set of 3/2. According to the book, this is coorect, the other set is where I'm confused. -4x(squared)=0, I divided -4 on both sides leaving x(squared)=0, then I'm not sure what to do! The answers in the back of the book, says the solution set is (-1/2, 1/2, and 3/2)

Click here to see answer by stanbon(26259)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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