# 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 162176: A rectangle is three times aslong as it is wide. If it length ans width are both decreased by 2cm, its area is decreased by 36cm2. Find it's orginal demesions. make a sketch as is oral exercises 2 Click here to see answer by checkley77(12569)

 Question 162230: I need help on this problem please. A house has two rooms of equal area. One room is squareand the other is a rectangle 4 ft narrower and 5 ft longerthan the square one. Find the area of each room. Click here to see answer by stanbon(57203)

 Question 162240: Think of a condition under which the product of any two binomials is a binomial. You can support your answer with the help of one of the identities of factorization of polynomials. Click here to see answer by Alan3354(30924)

 Question 162242: Classify the 15 given polynomials as monomials, binomials, trinomials, and polynomials. Use the format given below for categorizing the polynomials. a. 4x2 + 3x + 7 b. ax2 + 2abx + c2 c. 6a3 - 7b2 d. 2ab + 7cd - 5da e. -3abc f. 10x - 5x + 4x g. 2a2 + 3b2 - 2c2 + 2d2 h. 7x3 + 8x2 i. 14y j. xyz - x + 2x k. x3 - y3 + z3 - 3xyz l. 3xy + 3x m. 4b3 n. 2x3 - 9y3 o. x - 8y - 9x Click here to see answer by Alan3354(30924)

 Question 162235: Can you please help me on this problem. I dont get it. A corner lot that originally was square lost 185 m^2 of area when one of the adjacent streets was widened by 3 m and the other was widened by 5 m. Find the new dimensions of the lot. (Hint: Let x= the length of a side of the origanal square lot.) Sincerly, Very confused student Click here to see answer by Fombitz(13828)

 Question 162256: The polynominal function f(x)=0.004x^3-0.12x^2+5.2x+12 models the path of a portion of the track of a roller coaster. Find the height of the track for x=40. Help to solve please I am confused. Click here to see answer by KnightOwlTutor(293)

 Question 162231: I really need help on this problem please. A smal city park consists of a rectangular lawn surrounded on all sides by a 330 m^2(meters squared) border of flowers 2.5 m wide. Find the area of the lawn is the entire park is 5 m longer than it is wide. Click here to see answer by KnightOwlTutor(293)

 Question 162262: Simplify the expression 4n^19y^3n^5y^124 I came up with 4y^124n^24 I just wanted to be sure of my answer. Can you please check. Note that my answer might seem long, but I will try to show you my thought process (4n^19)(y^3)(n^5)(y^124) (4n^19)(n^5)(y^3)(y^124) (4n^24)(y^127) which could also be 4(y^127)(n^24) Click here to see answer by eperette(173)

 Question 162268: I need help with this problem: 36m^2 - 9 = 40 36m^2 -9 = 40 36m^2 -9 +9 = 40+9 36m^2 + 0 = 49 36m^2=49 36m^2/36= 49/36 m^2= 49/36 sqr (m^2) = sqr (49/36) m= 7/6 or m=-7/6 note when you take square root of number you have two solutions a positive and negative....because remember (-7/6)(-7/6)=49/36 Click here to see answer by eperette(173)

 Question 162274: I need help with this problem: 7t^3 - 5t^2 + 7t - 5 I assume you want to simplify.... (7t^3 - 5t^2) + (7t -5) t^2(7t-5) + 1(7t-5) (t^2 +1)(7t-5) Click here to see answer by eperette(173)

 Question 162272: I need help with this problem: 10x^3 - 25x^2 + 2x - 5 I assume you need to simplify... (10x^3 - 25x^2) + (2x - 5) 5x^2(2x -5) + 1(2x -5) (5x^2 + 1)(2x -5) Click here to see answer by eperette(173)

 Question 162266: I need help with this problem: b^4a - 81a^5 Click here to see answer by Alan3354(30924)

 Question 162320: find the real solution to the equation 9x^2=30x-25 let u=x^2 i substitute u for x^2 so I get 9u but then do I make 30x square root of 30x and move it and 25 to the other side of the equation after that? or use the power principle? confused thank you Click here to see answer by Alan3354(30924)

 Question 162053: CAN SOMEONE HELP ME WITH THIS PROBLEM In the formula A = I^ekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has 53% of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.) (Round to the nearest year.) Click here to see answer by ankor@dixie-net.com(15622)

 Question 162327: by using the laws of exponents reduce to lowest form 4a^2(bc)^-1 ------------ = (-2)^2 a^3 b^-2 c Simplify what you can above or below: 4a^2(b^-1)(c^-1) ________________ 4(a^3)(b^-2)(c) (4/4)(a^2/a^3)(b^-1/b^-2)(c^-1/c) 1a^(2-3)b^(-1--2)c^(-1-1) 1a^(-1)b(-1+2)c^(-2) a^(-1)b^(1)c^(-2) b/(ac^2) there are faster ways to do this, but I tried to show every thought process... Click here to see answer by eperette(173)

 Question 162371: 2x^4=16x I have this so far, but don't know how to finish this problem 2x^4-16x = 0 2x(x^3-8) = 0 Please explain how I finish Click here to see answer by josmiceli(9645)

 Question 162413: I am trying to simplify 2 fraction problems with variables and exponents, probably using factoring, but depite all the factoring I have tried, my answers don't come up with common denominators, so the numbers don't combine. Here is the first problem: yx^2/(x-y)+xy^3/(xy-x^2) This is the second: 1/(a^2+b^2)+1/(a^2-b^2)+2b^2/(a^4-b^4) Any help you can give would be REALLY awesome! Click here to see answer by stanbon(57203)
 Question 162413: I am trying to simplify 2 fraction problems with variables and exponents, probably using factoring, but depite all the factoring I have tried, my answers don't come up with common denominators, so the numbers don't combine. Here is the first problem: yx^2/(x-y)+xy^3/(xy-x^2) This is the second: 1/(a^2+b^2)+1/(a^2-b^2)+2b^2/(a^4-b^4) Any help you can give would be REALLY awesome! Click here to see answer by jim_thompson5910(28476)

 Question 162457: I need help to factor by grouping this problem: 7x^3 + 2x^2 - 14x -4 the sign ^ means to the power I hope I am espressing it right. Thank you Click here to see answer by Earlsdon(6287)

 Question 162459: I need help to factor this problem: 40a^8 + 16a^7 + 25a^9 the sign ^ means to the power I hope I am espressing it right. Thank you Click here to see answer by Earlsdon(6287)

 Question 162464: I need help factoring this problem: x^2 - 11xy + 24y^2 the ^ sign is meant to represent the power sign. Thank you Click here to see answer by KnightOwlTutor(293)

 Question 162462: I need help factoring this problem: x^2 - 11xy + 24y^2 the ^ sign is meant to represent the power sign. Thank you (x-8y)(x-3y) Click here to see answer by scott8148(6628)
 Question 162462: I need help factoring this problem: x^2 - 11xy + 24y^2 the ^ sign is meant to represent the power sign. Thank you (x-8y)(x-3y) Click here to see answer by eperette(173)

 Question 162460: I need help factoring this problem: m^2 + 5mn + 5n^2 the ^ sign is meant to represent the power sign. Thank you This problem cannot be factored Click here to see answer by eperette(173)

 Question 162458: I need help to factor this problem: 35^2 + 34^3 + 8x^4 the sign ^ means to the power I hope I am espressing it right. Thank you I am assuming you forgot your variable x on the first part, 35x^2 + 34x^3 + 8x^4 x^2(35 + 34x + 8x^2) x^2( 8x^2 + 34x + 35) x^2 (2x +5)(4x + 7) Click here to see answer by eperette(173)

 Question 162478: can someone help me with this problem Use the Gauss-Jordan method to solve the system of equations. 4x - 6y = 54 20x - 30y = 270 Click here to see answer by vleith(2825)

 Question 162489: can someone help with this Find the odds in favor of the indicated event. Rolling an odd number with a fair die. a. 1 to 1 b. 1 to 2 c. 3 to 2 d. 2 to 1 Click here to see answer by Anthea Lawn(22)

 Question 162564: how would you do the equation 3x+21=5x+15? by doing the subtract from each side for example z-4=56 3x+21=5x+15 3x+21-21=5x+15-21 3x+0=5x-6 3x-5x=5x-5x-6 -2x=0-6 -2x/-2=-6/-2 x=3 Check: 3x+21 ? 5x+15 3(3)+21 ? 5(3)+15 9+21 ? 15+15 30 = 30 Check, answer is right! z-4+4=56+4 z=60 Click here to see answer by checkley77(12569)
 Question 162564: how would you do the equation 3x+21=5x+15? by doing the subtract from each side for example z-4=56 3x+21=5x+15 3x+21-21=5x+15-21 3x+0=5x-6 3x-5x=5x-5x-6 -2x=0-6 -2x/-2=-6/-2 x=3 Check: 3x+21 ? 5x+15 3(3)+21 ? 5(3)+15 9+21 ? 15+15 30 = 30 Check, answer is right! z-4+4=56+4 z=60 Click here to see answer by eperette(173)

 Question 162573: cant figure out 4(x-2)=4 i know the answers three but no matter what i do i dont get three Click here to see answer by checkley77(12569)

 Question 162581: heres another. i dont get it when there on each side of the equal sign -2(x+11)=-x+10 oh and 3(y+6)=2y+14 and i have to check which i also dont understand! Click here to see answer by checkley77(12569)

 Question 162590: one moreee the biggest problem i have is word problems i hate them and i get frustrated heres one i'm really struggling with. a board is cut into two pieces. one piece is to be three times as long as the other. if the board is 4.2m long, what will the length of the longer piece be? i have to have a let statement i tried putting.. let x represent 1 piece let x+3 reprsent the other piece so i put the equation as.. 2x+3=4.2 but the number is so small i find it hard to believe it correct! can you show me what im doing wrong? Click here to see answer by ankor@dixie-net.com(15622)

 Question 162601: taking this math class online and having tons of problems. thanks for your help remove and factor by 1 3w-27/3w -33+11w/5 / 9w-27/25 solve for y y-6/y+6=4/7 3- a-17/a+5=a^2-3/a+5 Click here to see answer by edjones(7569)

 Question 162632: How do you check your answer after simplifying a rational expression? For example, I took and simplified it to . However, the directions also want the answer to be checked but the book I give an example on how to check such a complex problem. I f you can show me how to go about checking the answer for this problem it would be helpful. Click here to see answer by Edwin McCravy(8879)

 Question 162743: a. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally. b. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers. Click here to see answer by checkley77(12569)

 Question 162797: A photo is 3 inches longer than it is wide. A 2 inch border is placed around the photo making the total area of the photo and border 180 square inches. What are the dimensions of the photo? Click here to see answer by checkley77(12569)

 Question 162841: . Multiply: (x – 4)(2x2 – 7x + 8) Click here to see answer by jim_thompson5910(28476)