# 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 245496: what is the LCD for: 1 / (x-3)(x+5) and 1 / (x-3)^2 Click here to see answer by checkley77(12569)

 Question 245842: I need to solve 4w^2-6w-4=0 What I really need help understanding is how we come up with (2w-4)(2w+1)=0 I can get from there to 2 and -1/2. If I can understand this, then I can do the problem. Thanks, LeAnn Click here to see answer by dabanfield(803)

 Question 245870: what is the GCF of 4xSquared y to the third power and 6xySquared Click here to see answer by richwmiller(9135)

 Question 245900: (x˛ + 8x – 16)/(x+4) The answer I have is x+8-16 but I am not confident this is correct…can someone please show me where I am going wrong…thanks so much  Click here to see answer by solver91311(16885)

 Question 245924: i need to know the solution set for this rational equation 4/x=16/5x+4 thanks Click here to see answer by stanbon(57347)

 Question 245930: I'm not sure how to do this problem... In a physics experiment, a ball is dropped off a 144-ft platform. The height of the ball above the ground is given by the equation h=-16t^2+144 where h is the ball's height in feet, and t is the time in seconds after the ball is dropped (t is > or = 0) Find the time required for the ball to hit the ground.(Let h =0) Click here to see answer by ankor@dixie-net.com(15652)

 Question 245934: The product of the page numbers on two facing pages of a book is 132. Find the page numbers. Click here to see answer by Alan3354(30993)
 Question 245934: The product of the page numbers on two facing pages of a book is 132. Find the page numbers. Click here to see answer by dabanfield(803)

 Question 245969: I was wondering if you could show me how to factor this equation: 7a2+53a+28 This is the work I got to but then I could go no father. I used the x-box to find the answer. After the x-box I got (a+7)(7a+7) 7a2+56a+28 which does not equal the original question. (when it says 7a2 it means 7 times a squared) Click here to see answer by jim_thompson5910(28595)
 Question 245969: I was wondering if you could show me how to factor this equation: 7a2+53a+28 This is the work I got to but then I could go no father. I used the x-box to find the answer. After the x-box I got (a+7)(7a+7) 7a2+56a+28 which does not equal the original question. (when it says 7a2 it means 7 times a squared) Click here to see answer by solver91311(16885)
 Question 245969: I was wondering if you could show me how to factor this equation: 7a2+53a+28 This is the work I got to but then I could go no father. I used the x-box to find the answer. After the x-box I got (a+7)(7a+7) 7a2+56a+28 which does not equal the original question. (when it says 7a2 it means 7 times a squared) Click here to see answer by stanbon(57347)

 Question 245983: I need help on how to do this problem, please someone help me, i need to know this Factor by grouping. Factor out GCF first. x^3y^2 - 2x^2y^2 + 3xy^2 - 6y^2 Click here to see answer by richwmiller(9135)
 Question 245983: I need help on how to do this problem, please someone help me, i need to know this Factor by grouping. Factor out GCF first. x^3y^2 - 2x^2y^2 + 3xy^2 - 6y^2 Click here to see answer by Alan3354(30993)

 Question 245989: Can someone provide me with the steps to this problem? Factor by grouping. Factor out GCF first. -4abc-4ac^2+2bc+2c^2 Click here to see answer by checkley77(12569)
 Question 245989: Can someone provide me with the steps to this problem? Factor by grouping. Factor out GCF first. -4abc-4ac^2+2bc+2c^2 Click here to see answer by Alan3354(30993)

 Question 245974: I need help with this crazy problem. Please help. Factor the polynomial by factoring out the negative of the GCF. -34x4y3z2 + 32x3y2z - 68x2y Click here to see answer by ripplemehta(3)

 Question 246095: how do I solve 8x^3-10x^2-x+3 divided by 2x+11? i have the correct answer, but can't seem to solve for the same answer. Click here to see answer by stanbon(57347)

 Question 246027: (2t^2-5t-4)(3t^2-7+1/2) (two T squared minus 5T minus 4)(three T squared minus 7 plus one half) Multiply and Check. Show all steps. Click here to see answer by checkley77(12569)

 Question 246224: (4x+1)(2x+7) Multiply. Show work and steps. (this was my answer but its wrong....what did I do wrong?) (4x+1)(2x+7) (F) 4*2=8x (O) 4*7=28x (I) 1*2=2x (L) 1*7= 7 8x+28x+2x+7 =38x+7 Click here to see answer by rfer(12660)
 Question 246224: (4x+1)(2x+7) Multiply. Show work and steps. (this was my answer but its wrong....what did I do wrong?) (4x+1)(2x+7) (F) 4*2=8x (O) 4*7=28x (I) 1*2=2x (L) 1*7= 7 8x+28x+2x+7 =38x+7 Click here to see answer by blwinbbbles(106)

 Question 246155: My problem is to solve 2- (a-4/a+4)=(a^2-8/a+4)I think I need to multiply each side of the equation by a+4 to eliminate fractions. So I end up with (a+4)*2-(a-4)=a^2-8. That's as far as I've gotten. I would really appreciate any help to complete the problem. Thank you. Click here to see answer by edjones(7569)

 Question 246548: Ok, I need some practice and help could someone provide me with the steps to this problem? Find the slope of the line passing through the points (5, 7) and (-7, -12). I know the formula is y2-y1/x2-x1 Here's what i got: -12-7/ 7-5 Here's the answer that I got -19/-12 I think this isn't right because when i divide them I got a decimal. Click here to see answer by richwmiller(9135)

 Question 245967: Let the average number of vehicles arriving at the gate of an amusement park/ min be equal to k, and let the average number of vehicles admitted by the park attendants be equal to r. Then, the average waiting time T (in mins) for each vehicle arriving at the park is given by the rational function defined by T(r)=2r-k/2r^2-2kr where r is greater than K. a. K is equal to 25 use graphing to estimate rate r that is necessary to keep the average waiting T to 30 secs. b. if the park attendant can serve 5.3 vehicles/min, how many park attendants will be needed to keep the average wait to 30 secs. Click here to see answer by mary1010(1)

 Question 246643: Find all numbers for which the rational expression is undefined t^3-6t/t^2-9 Click here to see answer by stanbon(57347)

 Question 246647: If one pump can empty a flooded basement in 18 hours and a second pump can empty the basement in 24 hours, how long will it take if both pumps are working together? Click here to see answer by checkley77(12569)

 Question 246719: Factor by grouping. Factor out GCF first x^3y^3-2x^2y^2+3xy^2-6y^2 Help is greatly appreciated, thank you in advance. Click here to see answer by richwmiller(9135)