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

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Question 570907: what natural can replace B to make perfect square trinomial 64X^2+BX+16 Click here to see answer by josmiceli(9668)

 Question 570930: Please explain how to solve: a rectangular pool 20 feet wide and 60ft long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 sq ft, how wide is the walkway? Click here to see answer by Alan3354(30993)

 Question 571038: 8xy^4 + 27x^4y factor completely, if prime state Click here to see answer by nyc_function(2733)

 Question 571074: Could someone give me an example or two. All this talk about rational expressions has me so lost. This is why I have yet to post my work on this topic. I understand that in math we learn about fractions I get them, my daughter tells me that a fraction is just a funny looking expressions and they are just tools for writing down that one number that is divided by another here is where I get lost even more. I believe that I am making it even harder than it is with all of the rules for working with fractions, I have been told a million times that they are basically all grounded in this math stuff, however I believe that with a little more time they will start to make sense I hope. If I am lost someone help me out please. From what I have learned so far a rational expressions is very much like a fraction, except they usually represent ratios of variable expressions, instead of just ratios of numbers. I believe that the rules for working with rational expressions are basically the same as the rules that I understand for fractions is this correct? I believe all this is even more confusing I hate that this is going to take some practice. Click here to see answer by Edwin McCravy(8893)

 Question 571036: For a polynomial f(x) with real coefficients having given the degree and zeros. Degree 4; zeros:-2-5i; 5 multiplicity 2 Click here to see answer by reviewermath(507)

 Question 570916: What is the difference in these two questions and how do I do them? Describe the mathematic process of canceling like factors when working with rational expressions. Demonstrate this with an example. And explain in your own words how factoring is used to solve quadratic equations. Demonstrate the process with an example. Please help this is late and I am so lost Click here to see answer by richard1234(5390)
 Question 570916: What is the difference in these two questions and how do I do them? Describe the mathematic process of canceling like factors when working with rational expressions. Demonstrate this with an example. And explain in your own words how factoring is used to solve quadratic equations. Demonstrate the process with an example. Please help this is late and I am so lost Click here to see answer by harsh.9119(1)

 Question 571432: 7a/a-b / 4b/a+b = This problen is 7a over a-b divided by 4b over a+b Click here to see answer by stanbon(57290)

 Question 571777: how do you work x3+8x2-16x by solving polynomials Click here to see answer by stanbon(57290)
 Question 571777: how do you work x3+8x2-16x by solving polynomials Click here to see answer by solver91311(16877)

 Question 571898: x to the second power plus x minus 12 Click here to see answer by Alan3354(30993)

 Question 572177: I need help on simplifying rational expressions. How would you solves omething like v^2-7v-30 over v^2-5v-24? Click here to see answer by scott8148(6628)

 Question 572250: The Robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 feet wide all around. a-write an expression for the area of the pool. b-find the area of the pool when the total width is 10 feet. c-find the area of the pool when the total width is 9 feet. please answer a, b, and c! Click here to see answer by nyc_function(2733)

 Question 572491: y^3-1/8 I see that it is 1/2 or 0.5. but i don't understand how people are getting that. Will you please explain to me how 1/2 comes about? Click here to see answer by KMST(1868)

 Question 572842: solve the equation for y (5/y-3)+ (10/y^2-y-6) = (y/y+2)] (five over y-3) plus (10 over y squared minus y minus 6) equals (y over y+2) 1.Im not sure if i did it right, i found the least common denominator which is (y-3)(y+2) and multiplied to the missing part of the least common denominator to the top to get: 5(y+2)/(y-3)(y+2) - 10/(y-3)(y+2) = y(y-3)/(y+2)(y-3) 2.Then i combined like terms and simplified to get 5y+20/(y-3)(y+2) = (y^2)-3y/(y+2)(y-3) 3. My final answer was 5y(y+4)/ (y+2)(y-3) Is it correct? Click here to see answer by solver91311(16877)
 Question 572842: solve the equation for y (5/y-3)+ (10/y^2-y-6) = (y/y+2)] (five over y-3) plus (10 over y squared minus y minus 6) equals (y over y+2) 1.Im not sure if i did it right, i found the least common denominator which is (y-3)(y+2) and multiplied to the missing part of the least common denominator to the top to get: 5(y+2)/(y-3)(y+2) - 10/(y-3)(y+2) = y(y-3)/(y+2)(y-3) 2.Then i combined like terms and simplified to get 5y+20/(y-3)(y+2) = (y^2)-3y/(y+2)(y-3) 3. My final answer was 5y(y+4)/ (y+2)(y-3) Is it correct? Click here to see answer by mananth(12270)

 Question 573678: Can you please help me? The given polynomial is 2√3x + x^2 -1. Is this a polynomial or not? And what do you call this (polynomial,binomial, trinomial or monomial?) Click here to see answer by stanbon(57290)

 Question 573898: How do I multiply a Polynomial by a Monomial ? Click here to see answer by richard1234(5390)

 Question 574486: Identify the degree of each term of the polynomial and the degree of the polynomial. -9x^3+6x^2+2x+2 The degree of the 1st term is _________ The degree of the 2nd term is _________ The degree of the 3rd term is _________ The degree of the 4th term is _________ The degree of the polynomial is _______ Click here to see answer by Edwin McCravy(8893)

 Question 574494: find all numbers for which the rational expression is undefined. (s^3-3s)/(s^2-36) The numbers for which the rational expression is undefined are _____ ( use a comma to separate answers.) Click here to see answer by reviewermath(507)