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

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Question 141267: Hello I have to solve polynomials using the GFC and I do not know how. I have to so life tons so if you could help me with a few it would be great. OK so they 4 times t to the 5th power minus 12 times t to the 3rd power plus 8 times t to the second power. The next one is 12 times w to the 3rd power plus 8 times w to the second power plus 20 times w. Also if you could help me with 2 times k to the fourth power plus 4 times k to the 3rd power minus 6 times k minus 8. This one i can not seem to do.I will try to write them now in math form but just to let you know ' with a number after is an exponent. 4t'5-12t'3+bt'3 and 12w'3 + 8w'2 + 20w and 2k'4+4k'3-6k-8. Please help me i am sp confuses
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Question 141279: how do you factor 9x squared + 18x?
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Question 141288: I have a final tomorrow and this question is on the review.
Factor completely:
x^3+x^2-25x-25

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Question 141288: I have a final tomorrow and this question is on the review.
Factor completely:
x^3+x^2-25x-25

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Question 141291: m/5 + m The directions for this problem say to Perform the indicated operation and reduce the answer to the lowest terms.
I am trying to follow the examples in the book to solve the problems but I didn't see an example like this one. Could you please help? Thank you, Anne

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Question 141329: please tell me if this is right. thanks . five friends were waiting in a line.how many different ways can they arrange themselves in that line? I got 25 Thanks for helping
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Question 141328: please help. Anita won the class election by a margin of 5 to 3.she received 355 votes .How many votes did the other candidates get? thanks for the help.
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Question 141327: Please help. write the equation of the line given m=2 and b=-1 Thanks for helping
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Question 141270: How do you do these
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Question 141270: How do you do these
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Question 141356: Can you solve this one?....I have to factor by grouping...
Page 312
#16
x^2-4x+3x-12

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Question 141357: Please help me solve this one...I have to factor this problem...
Page 319
#10
x^2-13x+12

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Question 141353: Can you solve this?...Remove the largest possible common factor...
Page 307
#12
8x^3-10x^2-14x

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Question 141349: Hi there can you help me solve this problem?..... I have to subtract it....THANKS!!!!
Page 272
#20
(5x-5)-(6x-3)

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Question 141350: Can you help me solve this one?......I have to divide this...
Page 292
Number6
49x^8-35x^6-56x^3
----------------
7x^3

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Question 141355: Can you help me with this? Thanks!!!....Hint: In exercises 29-42, refer to examples 6 and 7........not sure exactly what to do with this...
5x(x-7) + 3(x-7)

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Question 141378: Tutor how do I do this problem:*
Use synthetic division to find the quotient and the remainder
(x^5+32)divided by (x+2)

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Question 141385: this problem is on page 407.
1/2 +1/4x
--------- = I didn't get the same answer as the back of the book. It's
x/3 - 1/12x supposed to be 3/2x-1. I don't understand how they got that. Anne

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Question 141412: what is 5x^2-13x-6
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Question 141410: Sorry I forgot to type in the problem I have vision problems: f(x)= -6
thank you for your help: Tutor this is an exercise from my textbook by beecher, penna, bittinger (Algebra & Trig) Determine the leading term, the leading coefficient, and the degree of the polynomial. then classify the polynomial as constant, linear, quadratic, cubic or quartic.
thank you for your help

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Question 141408:

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Question 141407: what is a polynomial?

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Question 141398: (20x^4-2x^3+5x+3)/(2x-3). I understand how to divide polynomials, but this equation stumped me. Could you provide me direction?
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Question 141387: FIND THE ZEROS OF THE POLYNOMIAL FUNCTION AND STATE THE MULTIPLICITY IF EACH.
f(x)=x cubed+7x squared-x-7
A)-7, multiplicity 1; -1 multiplicity 2
B)-7, multiplicity 2; 1, multiplicity 1
C)-1 multiplicity 1; 1, multiplicity 1; 7, multiplicity 1
D)-7, multiplicity 1; -1 multiplicity 1; 1, multiplicity 1
I'm thinking the answer is D, but I would like to know for sure. Thanks!

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Question 141462: Graph in the rectangular coordinate systems provided.
3x = 15

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Question 141447: Solve eqation
b(5b-3)=0

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Question 141482: what expression represents the product of 3 less than and 2 more than the quantity of 3 times x

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Question 141434: To estimate the size of the bear population on the Keweenaw Peninsula, conservationalists captured, tagged and released 50 bears. one year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationalists estimate of the size of the bear population?
Any help will be appreciated. Thanks, Anne

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Question 141494: I have to factor if possible and completely factor..always factor out the greatest common factor first if one exists...
Page 336
#22
by+7b-6y-42

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Question 141492: I need help !!!!!! :( I have to factor this one if possible. be sure to factor completely...always factor out the greatest common factor first, if one exists...
Page 336
#14
y^2+16y+64

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Question 141492: I need help !!!!!! :( I have to factor this one if possible. be sure to factor completely...always factor out the greatest common factor first, if one exists...
Page 336
#14
y^2+16y+64

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Question 141491: Can you help me solve this?.....I have to factor this problem...
Page 319
#14
x^2-6x-16

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Question 141495: Using the factoring method, solve for the roots of each quadratic equation. Be sure to place the equation in standard form before factoring. check yuor answer...
Can you help me solve this?...
Page 336
#2
x^2-x-20=0

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Question 141496: Using the factoring method, solve for the roots of each quadratic equation. Be sure to place the equation in standard form before factoring. check yuor answer...
Can you help me solve this?...
Page 344
#12
9x^2=81

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Question 141468: Find the perimeter.
4cm x 4cm x 3cm x 1cm

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Question 141458: Graph in the rectangle coordinate systems provided. Label clearly.
y = -1/3x + 4

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Question 141512: okay this question is on our study guide for chapter 8.
Find the product.
3x^2y(2x^2y-5xy^2+8y^3x^2)
I have already attempted the problem and got
6x^4y^2-15x^3y^3+24y^4x^4
Is this right? If it is not could someone explain to me how to correct what I did?

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Question 141522: this problem is not from my book. We are working in rational expressions and equations.
20^1/2 + 5^1/2 = sqt rt 20 + sqt rt 5 Any help would be appreciated. Thank you.
Anne

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Question 141522: this problem is not from my book. We are working in rational expressions and equations.
20^1/2 + 5^1/2 = sqt rt 20 + sqt rt 5 Any help would be appreciated. Thank you.
Anne

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Question 141459: Graph in the rectangular coordinate systems provided. Label clearly.
x = 0

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Question 141428: This is a study problem from Exercise 3.1, book Algebra and Trig (Beecher and Bittinger: Determine the leading term, the leading coefficient and the deree of the polynomial. then classify the polynomial as constant, linear, quadratic, cubic or quartic. f(x) = -6
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Question 141543: Verify that x = 2 is a root of multiplicity 3 of the equation x^4 - 4x^3 + 16x - 16 = 0. What is the other root?
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Question 141561: How do I solve?
The additive inverse of a number divided by 12 is the same as one less than 3 times its reciprocal. Find the number.

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Question 141559: How do I solve?
A person traveled 120 miles in one direction. The return trip was accomplished at double the speed and took three hours less time. Find the speed going.

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Question 141571: Problem: Solve by factoring... 7X(X-1)=1-X
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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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