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

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Question 60976: 1.) solve the following system by elimination
2x-4y=7
x-y=9

2.) the sum of two intergers, a and b (a>b), is 1,000. the smaller minus the larger
is -746. find the value of the intergers a and b.
3.) factor completely.
(a) w^3 - 1,000
(b) (w - x)^3 + z^3
4.) factor completely.
c^2 - 1
Click here to see answer by checkley71(8403)

Question 60918: solve each equation
36x^3-48x-12x^2=0
please help
thank you
Click here to see answer by checkley71(8403)

Question 61000: I received help yesterday(11/11) on these problems and think I understand. I have submitted my attempts at some to see if I have the right idea and a few that still escape me. Some seem pretty straight forward now but others elude me. Thanks again for such timely help.
For the following, letf(x)=x+5; let g(x)=x^2^-2; let h(x)=-3x
for h{f(4)} I set 4=x, the value of f(4) then being 9; the expression h(9) would then be -27???right???
for g(x+3), I set (x)=x+3 and then the value of g(x+3) being x^3^+3x^2^-2x-6???
I lost it on the following and need help:
1. Same parameters (f-g)(x)
2. h(2x^2^+4x)
The last problem has nothing to do with the parameters above. It has just given me fits.
3. 5x^3/2^-25=0
Thanks in advance for your help and this great program.
Click here to see answer by funmath(2933)

Question 61003: Can somebody please help me!
Find all real solutions to
(a) x^2 + x + SQRT(x^2 + x) - 2 = 0
I have been working on this problems for a couple of days and I can't seem to understand, or even know what to do. I know I need to use the substitution methods but the radical in the equation is confusing me.

Click here to see answer by funmath(2933)

Question 60886: Could someone help me?
Solve the following equations. Leave radicals in radical form(do not calculate there approximate values).
a. 4x^2+3x-10=0
b. 2x^2=3x
c. x^3-4x^2-x+4=0
d. x^4-10x^2+9=0
e. x^3-3x^2+x-3=0
f. 3x^2-5x+1=0
I also need to know how to put radicals signs on here.
Thank you for your help!!
Click here to see answer by funmath(2933)

Question 60930: I knew how to do these, but the expressions and the radicals confused me on this one. Please help!

(the (radical) indicates where the square root sign is, on both threes)

Find the polynomial function of degree 3 with the given numbers as zeros:

1-(radical)3,
1+(radical)3,
-2
Thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 61030: factor..... 15x>4-35x>3plus10x>2
Click here to see answer by uma(370)

Question 61085: What is a term?
Click here to see answer by uma(370)

Question 61089: Please help stuck with this one for hours.I need to know if I am performing this operation correctly. Thank you very much.
Find all real or imaginary solution to the equation.
6x=-(19x+25)/(x+1)
(6x)(x+1)=-19x-25
6x^2+6x+19x+25=-19x-25+19x+25
6x^2+25x+25=0
My answers is -5/3 and -5/2
Click here to see answer by funmath(2933)

Question 61097: please help solve
let f(x)= x^2-9, g(x)=2x , and h(x)=x-3
solve: (g+H)(-10)
Click here to see answer by tutorcecilia(2152)

Question 61118: please help solve
find each square: (k-5/7p)^2
Click here to see answer by babynarah2007(12)

Question 61143: the polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. find f(3)
Click here to see answer by stanbon(75887)

Question 61145: please help solve
find the product
( (5x+1)+6y) )^2
Click here to see answer by tutorcecilia(2152)

Question 60929: (w-12)(aw+9), where a is a real number and a does not equal 0
Click here to see answer by jai_kos(139)

Question 61209: Can you help me subtract this rational equation, and put it in simplest form?
y-2 over y+3 minus y over 2y+6
Thanks in advance!
ac
Click here to see answer by checkley71(8403)

Question 61295: It says to factor completely:
6x^2-xy-5y^2
I ended up with (6x-5y)(x+y)
Would this be correct?
Thanks!
CH
Click here to see answer by uma(370)

Question 61293: I am having a hard time trying to divide this polynomial....
x^4+x^2-80 divided by x+3
I ended up with:
x^3-3x^2+10x+30+10/x+3
Is this correct? If not where did I mess up at?
Your help will be GREATLY appreciated!
Thanks so much!
ac
Click here to see answer by checkley71(8403)

Question 61312: Find a polynomial fucntion of 5th degree given the following zeros.
-4, -2i, √6
Click here to see answer by venugopalramana(3286)

Question 61318: please help solve
p^3-1/p-1
Click here to see answer by funmath(2933)

Question 61240: In the equation P(x) = 2x3 + 7x2 + x + 3 how many variations of sign are there, in the sense of Descartes� rule of signs? What is the number of positive real zeros of P(x)?
Click here to see answer by funmath(2933)

Question 61336: hpw do you find the polnomial for the area l*w
Click here to see answer by funmath(2933)

Question 61285: Comparing Dart Boards: A toy store sells two sizes of circular dart boards. The larger of the two has a radius that is 3 inches greater than that of the other. The radius of the smaller dartboard is t inches. Find a polynominal that represents the difference in area between the two dartboards.
Click here to see answer by jai_kos(139)

Question 61330: I seem to be having a small problem understanding Binomial Theorems as far as substitution and Expansion. Your assistancewith this problem would be greatly appreciated:
It states: Use substitution to find the expansion of (c-2i)^5. Simplify your final result.
Please help!
Thanks in advance!
Click here to see answer by Cintchr(481)

Question 61340: Factor:
49x^2-84x+36
Click here to see answer by Cintchr(481)

Question 61405: It says to simplify:
a\/8-3\/2a^2 (\/ is a radical sign)
I have come to the conclusion that this can not be simplified! Am I right?
Thanks for your input!
ac
Click here to see answer by funmath(2933)

Question 61489: Could someone help me with this problem?
Solve the following equation by factoring>
36x2=1 (The 2 is an exponent)
I have worked this problem out and cant seem to get the correct answer. Pleaqse help
Click here to see answer by checkley71(8403)

Question 61491: Could I get some help in solving the following problem?
Solve the following equation by factoring.
8x2=30x+8 (The 2 is an exponent) Thanks alot!
Click here to see answer by checkley71(8403)

Question 61493: COuld someone please explain how to work the following problem out?
Multiply: 8 a3+64
_______ x _____
3a+12 12
The 3 in this problem is an exponent. I have multiplied all exept the a3+64. I cannot figure out how to factor it. Thanks for your help.
Click here to see answer by checkley71(8403)

Question 61487: Could someone pleae explain how to work this problem out?
Factor the following polynomials 4ux+20u+vx+5v. Thank you
Click here to see answer by josmiceli(19441)

Question 61506: (8t5 + 3t3 + 5t)-(19t4 -6t2 + t). Please show me how to solve adding and subtracting polynomials. Thanks!
Click here to see answer by funmath(2933)

Question 61504: (-2b6 + 3b4 - b2) + (b6 + 2b4 + 2b2). Please show me how to solve adding and subtracting polynomials
Click here to see answer by funmath(2933)

Question 61486: Could someone please help me with the following problem>
Factorthe greatest common factor?
-24ab2+9ab-12a3b. The 2 and the 3 in this problem are exponents. Any help at all would be appretiated. Thanks
Click here to see answer by funmath(2933)

Question 61503: 6p5 + 4p3 - 8p4 + 10p2. Please show me how to solve? (Exponents and Polynomials)
Click here to see answer by funmath(2933)

Question 61560: what is the answer to X^2+X^2?
Click here to see answer by tutorcecilia(2152)

Question 61586: Can someone please help me with the following question. I am so lost. Thanks
Divide as indicated
x^5+y^5 / x+y
Click here to see answer by josmiceli(19441)

Question 61662: anybody know this
3/5-3x<_1
thanks
Click here to see answer by Earlsdon(6294)

Question 61743: I would need some help please
Given f(x)=15x^3-4x^2+3x-8 find all possible rational zeros
Thank you for your time
Click here to see answer by stanbon(75887)

Question 61701: Factor
10x^2y^5z-5x^5y^2z^5-10x^4y^4z^4
Click here to see answer by stanbon(75887)

Question 61715: Can you help me please
Find all three zeros of f(x)=x^3-4X^2+13x+50 given that 3+4i is a zero
thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 61715: Can you help me please
Find all three zeros of f(x)=x^3-4X^2+13x+50 given that 3+4i is a zero
thank you
Click here to see answer by jai_kos(139)

Question 61812: Instructions: Perform the indicated operations.
What is the solution for (8x^4-5x^3+7x^2-4x+1)-(2x^4-5x^3+2x^2-4x+3)
Click here to see answer by kayeith(17)

Question 61812: Instructions: Perform the indicated operations.
What is the solution for (8x^4-5x^3+7x^2-4x+1)-(2x^4-5x^3+2x^2-4x+3)
Click here to see answer by Nate(3500)

Question 61815: I need help simplifying and solving the following equation for H:
A= 1/2h(a+b).

I got to 2A=ha + hb. Is this right? How do I solve for H from here?
Click here to see answer by joyofmath(189)

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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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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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 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