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

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Question 29: For what value of 'k', the G.C.D. of x^2+x-(2k+2) and 2x^2+kx-12 is x+4?
Click here to see answer by ichudov(404)

Question 144: how do i factor polynomials
Click here to see answer by ichudov(404)

Question 197: under what situation would one or more solutions of a rational equation be unacceptable?
Click here to see answer by ichudov(404)

Question 211: 6X^6+x^3=15
solve for X
Click here to see answer by ichudov(404)

Question 111: How would I do a problem like: Multiplying a Polynomial by a Moonomial
4a(3x+5)?
Click here to see answer by terrtwo(10)

Question 114: show us how to multiply polynomial and monomial?
Click here to see answer by ichudov(404)

Question 305: Can you reduce the following equation into binomials? (105a³b+27a²b²-33ab³)If so, can you explain the necessary steps involved?
Click here to see answer by AnlytcPhil(958)

Question 328: Hi I'm an older student and I have a problem I don't understand. How would you solve polynomials by factoring? This is the problem: 2x^4=16x^2. Thank You
Click here to see answer by AnlytcPhil(958)

Question 188: t-2/t=2/t+3
Click here to see answer by GreyWolf79(3)

Question 366: Can you help me with dividing polynomials? Here's the equation:
2x^3 - 3x^2 + 4x - 21 / 2x + 1
Click here to see answer by ashipm01(3)

Question 635:
Click here to see answer by lordacro(12)

Question 666: How do you solve this problem?
x squared-10xy+24 squared
Click here to see answer by janinecb(25)

Question 758: Could you please tell me how to do these types of questions...
7x(squared)+9x+2
They are called "Algebraic Factorisation" Could you give me an example perhaps it is for yoar 10 mathematics.
Click here to see answer by ishkumargupta(1)

Question 760: factorize 3t²-27
Click here to see answer by AnlytcPhil(958)

Question 1135: Add and simplify (if possible): (10/x^2+x-6)+(3x/x^2-4x+4)
Click here to see answer by khwang(438)

Question 1132: Trying to solve the following:
x3-12x2+44x-48=0
(thats x cubed, 12 x square, 44x, -48)
Thanks
Click here to see answer by khwang(438)

Question 1195: if a, b and c are the roots of x^3 - 2x^2 + x +3 = 0 evaluate:
a^3 + b^3 + c^3
and a^5 + b^5 + c^5
pls help..
many thanks
Click here to see answer by khwang(438)

Question 1210: y to the 5 power. multiplied by y to the 3 power.
Click here to see answer by usyim88hk(157)

Question 1384: 1/x-4 + 5 = 3/x-4. I need to know how to solve this type of equation.
Click here to see answer by usyim88hk(157)

Question 1389: How do you fill in the blanks to these problems?
1.
(x+5)(x+?)=x^2+8x+15
2.
(y-?)(y+4)=y^2+3y-4
Click here to see answer by usyim88hk(157)

Question 1386: How would you simplify this equation:
4x^2(3x^2-2x+7)?
Click here to see answer by usyim88hk(157)

Question 1334: I need to be able to divide the following. Can this be done with long division - if so, is the answer 1 with a remainder?
(x^2 + x - 72)/(x^2 - 81)
Click here to see answer by usyim88hk(157)

Question 1410: How do I factor this polynomial? And if it's prime, say so.
9x^2+6x+3
Click here to see answer by usyim88hk(157)

Question 1430: Solve: (z-8)(z+4)= -35
Click here to see answer by usyim88hk(157)

Question 1394: Can you factorise 16-9y2 , x2+7x+12 , x3-x , 16-14t-2t2 , x4-2x2-8 please I really need this help!!!Thanks
Click here to see answer by DeepaEvangeline(15)

Question 1313: How would you solve this equation?
2/r^2-r - 1 = 2/r-1
What does 'r' equal?
Click here to see answer by DeepaEvangeline(15)

Question 1414: 5q^2+12q-9 divided by 5q^2-22q-15 ;then multiply by 20q^2=12q divided by 9-q^2
I am at a loss to factor this in order to come to a solution. Can you help?
Click here to see answer by JamieL38(6)

Question 1554: How do you factor a Polynomial with imaginary roots? I need to factor this
9x^6-26x^5-57x^4+201x^3+68x^2-445x-50 One of the solutions is 2-i
Click here to see answer by khwang(438)

Question 1592: I dont understand how to use the "FOIL" method. Can you help me out?
Click here to see answer by AnlytcPhil(958)

Question 1588: 95r^2/5r
Click here to see answer by usyim88hk(157)

Question 1634: I am a father who has not used algebra since 1972!! My daughter ia having an issue with, How to solve an equation using fractions. ie: "1/3x+2=6" I am stumped. can you break it down for us.
Thanx.
Glenn
Click here to see answer by hhstigers(1)

Question 1757: Please factor completely the following polynomials:
1) (a-b)2(squared) - 4(c-d)2 (squared)
2) 6(x-y)2 (squared) + 23(x-y) - 4
Simplify and express answers using positive exponents only.
1) 5
----
4x-9 (exponent -9)
2) m-11 (exponent -11)
-------
m-5 (exponent -5)
3) (2a-3 (exponent 3))2 (squared)
Thank You.
Click here to see answer by longjonsilver(2297)

Question 1804: When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression
Click here to see answer by longjonsilver(2297)

Question 1678: I need to simplify these problems and I am having trouble.
1. (x^3 + 5x^2 + 2x - 8) / (x - 1)
2. (y^3 - 19y - 30) / (y + 2)
3. (t^4 + 10t^3 + 35t^2 + 50t + 24) / (t^2 + 7t + 12)
Click here to see answer by longjonsilver(2297)

Question 1826: Help! How do you factor: -4x^3+36x^2-12? It is the prime of f(x)=12x^3-12x+24. I need to find the intervals where the graph of f is concave upward, concave downward and the inflection points.
Thanks,
Anne

Click here to see answer by longjonsilver(2297)

Question 1821: multipy: -4(x+4)
Click here to see answer by longjonsilver(2297)

Question 1744: How can i Factor Completely the following:
6z^2-12z+30
3x^2+21x+27
16x^4-1
Click here to see answer by longjonsilver(2297)

Question 1823: How would i factor these?
1.kj-60+10k-6j
2.gh+12h+3h^2+4g
3.2z^2+12x+3z+8xz
Click here to see answer by longjonsilver(2297)

Question 1743: How can i Factor Completely the following:
6z^2-12z+30
3x^2+21x+27
16x^4-1
Click here to see answer by longjonsilver(2297)

Question 1875: Factor Completely: 8x^3 + 27y^3
Click here to see answer by longjonsilver(2297)

Question 1874: How do I factor the following? Thanks.
ax+bx+ay+by
3x^2-6xy+2x-4y
6+2y+3x^2+x^2y
6x^2+7x+2
4x^2-9x+3
5y^2+13y+6
6x^2+19x+3
16x^2+16x+3
Click here to see answer by AnlytcPhil(958)

Question 1922: z(5z-1)=3z(z+3)
"solve by suitable methods"....whatever that means. :)
Click here to see answer by smartdude17(30)

Question 1911: how do i solve this?
3acubed(2a-7)?????????
Click here to see answer by longjonsilver(2297)

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