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

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

Question 271978: can you show me step by step how to do this one:
Find the GCF of the set of monomials.
36x3y2z, 60xyz2
Click here to see answer by checkley77(12569)

Question 272051: Divide and simplify. (c/f^2)/(c^2/f^3)
Click here to see answer by checkley77(12569)

Question 272073: factor 33a^3b^2 completely.
Click here to see answer by checkley77(12569)

Question 272185: factor 4x^2y - 8xy
Click here to see answer by mananth(12270)

Question 272250: For simplifying complex rational expressions, my testbook gives us two methods of doing it. I am having trouble understanding Method 2 which refers to:

1. Add or subtract, as necessary, to get a single rational expression in the numerator.
2. Add or subtract, as necessary, to get a single rational expression in the denominator.
3. Divide the numerator by the denpminator.
4. If possible, simplify by removing a factor of 1.
Here is my problem. please walk me thrugh it using the stated method.
x/2 + 2x/3
___________
1/x - x/2
they say the answer is 7x^2/3(2-x^2)

Click here to see answer by stanbon(57984)

Question 272272: I am having extreme difficulty with this section of my homework. I have to find a polynomial function of least degree having only real coefficients with zeros.
The book tells me that f(x)=x-(1+i) has 1+i as a zero, but the conjugate 1-i is not a zero. Why? If I use the synthetic division (as the book says) to figure out if f(k)=0, I get don't understand why 1-i is not a zero. All I keep getting is the same equation by using synthetic division.
The problem I am having to do it:
2+, 2-, and 2+3i.
By not understanding why why 1-i is not a zero, I am confused as to what is a zero in the above equation.
I THINK that 2+ and 2+3i are going to be zeros for the problem, giving me an equation that looks something like:
f(x)= [x-(2+)][x-(2-)][x-(2+3i)][x-(2-3i)]
If someone could please help me with this I would GREATLY appreciate it.
Click here to see answer by edjones(7569)

Question 272332: what is the simplifies version of 3x^2-4x-4
_________
4x^2-3x-10
Click here to see answer by edjones(7569)

Question 272359: Factor the expression.
x(x - y - z) + y(x - y - z) need help please.
Click here to see answer by edjones(7569)

Question 272270: Please help me solve the following: Simplifying Complex Rational Equations
3 - 1
____ ______
4x^3 2x
________________
3 + 5
____ _____
2x 4x^3

** I am assuming that x^3 is the comman factor for this problem. I am confussed about the solving prossess for either method.
Your help is greatly appreciated.
Sharon
Click here to see answer by ankor@dixie-net.com(15747)

Question 272378: what is the answer of y squared plus 49 plus 14y. I dont understand how to solve without a greatest common factor.
Click here to see answer by checkley77(12569)

Question 272395: Maria can shovel snow from her driveway in 65 minutes. Tom can do the same job in 45 minutes. How long would it take Maria and Tom to shovel the driveway if they worked together?
Click here to see answer by scott8148(6628)

Question 272362: Find the product.
(2c - d)3 I can't use the symbol ^ when I do for my assignment when it comes back it comes back syntax error thanks I need some help.
Click here to see answer by checkley77(12569)

Question 272358: Having problems with this one:
Find the GCF of the set of monomials.
15x2y3, 15xy3, 18x2y2z3
Click here to see answer by checkley77(12569)

Question 272480: 1. how do you find the quotient for (12x^3 + 3x^2 – 6x) divided by 3x.

Click here to see answer by dabanfield(803)

Question 272589: solve 1/v=(3/v)-(1/3)

Click here to see answer by Alan3354(31538)

Question 272608: this is a problem that I have been trying to figure out for my homework and just cant get it. Any help would be appreciated
Simplify(3x+3y+3)/9x÷(x^2+2xy+y^2-1)/(x^4+x^2 )
Click here to see answer by stanbon(57984)

Question 272770: SIMPLIFY THIS RATIONAL EXPRESSION PLEASE :)
With steps!
((2x^2-x)/(4x^2-4x+1))/((x^2)/(8x-4))
Click here to see answer by jim_thompson5910(28717)

Question 272771: FIND THE LEAST COMMON MULTIPLE OF EACH PAIR OF POLYNOMIALS :)
Steps shown, please. Thank you very kindly.
#1)
x^2 - 16 and 5x + 20

#2)
7(x-2)(x+5) and 2(x+5)^2
Click here to see answer by jim_thompson5910(28717)

Question 272821: 5x^3 + 40y^6
Click here to see answer by JBarnum(2044)

Question 272819: How do you find the GFC of a pair of monomials; then write each monomial as the product of the GCF and the remaining factors of the monomial.
Here is some of the questions:
4wxy and 6xyz
-80a3rdbc5th and -200a2ndbc7th
Click here to see answer by JBarnum(2044)

Question 272841: Can you help me - is this able to be factored out? -17x^2 - 20x+25??
What I have so far is take out -1 so the equation is -1 (17x^2 + 20x - 25)
When I multiply 17 x 25 = 425 I am having a hard time finding multiples of 425 that equal 20. Is it factorable?
Click here to see answer by jim_thompson5910(28717)

Question 272870: after t years, the amount of money in a savings account that earns a simple interest is P plus Prt, where p is the starting and r is the yearly amount. factor this expression .
Click here to see answer by jim_thompson5910(28717)

Question 272897: 3(x+5)

Click here to see answer by JBarnum(2044)

Question 272926: Please factor
30x^2-13x-3
Click here to see answer by scott8148(6628)

Question 272962: (5B TO THE 2ND POWER + 3B) + (B TO THE 2ND POWER - 2B)
Click here to see answer by stanbon(57984)

Question 272883: hOW DO I DETERMINE THE GCF'S AND SOLVE THE EQUATION OF:15N^3 - 3N^2 + 12N
Click here to see answer by checkley77(12569)

Question 272967: Factor completely
16^2 + 4x - 2
Click here to see answer by checkley77(12569)

Question 153108: simplify:
(6x+7)(2x+6)
Click here to see answer by Brendinsmom1(1)

Question 153108: simplify:
(6x+7)(2x+6)
Click here to see answer by Alan3354(31538)

Question 272970: 63^2-3x-30

Click here to see answer by persian52(158)

Question 273021: How do I graph? I do not understand where or how to graph.
Solve the system of equation by graphing.
-3x = 5 - y
2y = 6x + 10
Click here to see answer by stanbon(57984)

Question 273112: solve: 2n(2n+4)=6n^2+9n

Click here to see answer by persian52(158)

Question 273110: (7n+2)+(3n-8)
Click here to see answer by persian52(158)

Question 273204: Find the product.
(-7m2n)(-9mn3) I need to show the exponents and where you use the carrot top it needs to be replaced with exponenents. thank you
Click here to see answer by stanbon(57984)

Question 273210: Simplify the polynomial by factoring out the Greatest Common Factor
-11a^2b^2 + 3ab^2
ab^2 (-11a + 3) This is my answer but the system says the answer is
-ab^2 (11a - 3) How do you take a negative from a postive 3.
Please show me all these steps so I can understand why.
Thank You
Jane P. Albright
jpalbright5627@yahoo.com
Click here to see answer by stanbon(57984)

Question 273213: Solve for x: 2(2x - 3) - 5(x + 1) = 2x - 7
2(2x - 3) - 5(x + 1) - 2x + 7 = 0
4x - 6 - 5x - 5 - 2x - 7 = 0
4x - 5x -2x = 3x
- 6 - 5 -7 = - 18
3x - 18 = 0
3x = 18
x = 18/3
x = 6
The answer key says it is - 4/3
Where did I go wrong? I can not see where. Can you?
Please show me all these steps so I can understand where I went wrong and why.
Thank You
Jane P. Albright
jpalbright5627@yahoo.com
Click here to see answer by CharlesG2(828)

Question 273250: Could you help me solve:
9x^4-21x^2+10=0
Click here to see answer by Theo(3504)

Question 273302: What's the purpose of polynomials, and why do we need to learn it? I doubt we will use it in life.
Click here to see answer by Theo(3504)

Question 273305: Need help did this problem and got it wrong:
Factor the expression.
x(x - y - z) + y(x - y - z)
put answer x to the second -2x-y to the second -yz
Click here to see answer by Theo(3504)

Question 273311: Could you show me step by step this equation:
p2 - q2 = (p + q) ( ) thanks
Click here to see answer by Theo(3504)

Question 273316: Hi. I need help solving a math problem. x^2+2x-63=0 Thank you.
Click here to see answer by Theo(3504)

Question 273318: I need help solving this problem. (x+4)(x-9)=4x
Click here to see answer by josmiceli(9817)

Question 273319: Can you please help me solve this problem? x^3-14x^2+49x+0
Click here to see answer by stanbon(57984)

Question 273348: Hi. I'm trying to solve x^2-5x+6=0. Thank you.
Click here to see answer by jim_thompson5910(28717)

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