# 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 172766: This problem stumped me last night and tried to work it out but have no clue how I arrived to what I "believe" to be the right answer. Can someone help? Simplify: (x^4 +10x^3 - 23x^2 - 348x - 540)/ (x + 5) I believe the answer to be x^3 +5x^2 - 48x - 108. Is that correct, if not, please tell me what I should have done and where I went wrong? Thank you soo much! Click here to see answer by solver91311(16897)

 Question 172768: This problem is similar to another one I earlier but the answers are much different: Simplify: (3x^3 - 9x -3)/(3x +3) My answer: x^2 - x - 2, remainder 3 Problem is I have no idea where the x-2 is truly coming from. Is this correct and if so (or not) can someone please show me why? Click here to see answer by solver91311(16897)

 Question 172713: if h(t)=t-2/t+1 find h(0),h(-2), H(2),h(-1), and h(1), if possible Click here to see answer by solver91311(16897)

 Question 172797: A plane makes a 240-mile trip against a head wind in 1 hour and 30 minutes and returns, with a tail wind of the same speed, in 1 hour. What is the speed of the wind and what is the speed of the plane? Click here to see answer by jim_thompson5910(28595)

 Question 172685: Perform the indicated operation and simplify: 6x + 9/3x - 15 * x - 5/4x + 6 Click here to see answer by Alan3354(30993)

 Question 172684: Perform the indicated operation and simplify: 6x + 9/3x - 15 * x - 5/4x + 6 Click here to see answer by colliefan(239)

 Question 171479: 3. (7a^4 + 8ab + b^2) + (-5a^4 - 8ab - 4b^2) Click here to see answer by colliefan(239)

 Question 172918: I need some assistance with this one: Simplify: 3x^2 - x [4 - 3 (x-4)] Click here to see answer by nerdybill(6962)

 Question 172919: I believe I have done this one right but if someone could please confirm? Multiply as required and collect terms: (x - 4) (2x^2 + 4) + (x + 4)(x^3 - 1) - (x^2 - x -n 1) OK! This is what I have: (x - 4)+(x +4)(x^3 - 1) = x^5 - 1)(2x^2 + 4)-(x^2 - x - 1)= (4x^7 + 3)-(x^2 - x - 1) = (4x^7 + 3)-(x - 1)= 4x^6 +2 Is this correct? Thanks for any help available? Click here to see answer by monika_p(71)

 Question 173003: Hello all, I am asking for someone to please check this problem for me. I think I have done the steps right, but because this is my weakest subject, I am second guessing myself... Multiply out: (x +6)(x^3 - x^2 - 5x +1) x.x^3 - x.x^2 - x.5x +1 + 6.x^3 - 6.x^2 - 30x +1 = x^4 - x^3 - 5x^2 + 8x^3 - 6x^2 - 30x = 8x^3 - 30x Is this correct? Click here to see answer by stanbon(57377)
 Question 173003: Hello all, I am asking for someone to please check this problem for me. I think I have done the steps right, but because this is my weakest subject, I am second guessing myself... Multiply out: (x +6)(x^3 - x^2 - 5x +1) x.x^3 - x.x^2 - x.5x +1 + 6.x^3 - 6.x^2 - 30x +1 = x^4 - x^3 - 5x^2 + 8x^3 - 6x^2 - 30x = 8x^3 - 30x Is this correct? Click here to see answer by Earlsdon(6287)

 Question 173004: 5-8=2 / / / y y y^2 + - - 4 4 16 im sorry but i couldnt get it to go sideways. Click here to see answer by Alan3354(30993)

 Question 173019: What would you recommend should be the steps for factoring a polynomial? Click here to see answer by stanbon(57377)

 Question 173111: So I have a few problems that i cannot figure out. I need to factor these out. The first one is x^2-15wy+3xy-5wx The second one is 9x^2+2x-8 And the third is 24x^2-10x-4 I really need help with these. I have seen other examples and still can't figure it out. Could you please help me. Thank you. Click here to see answer by jim_thompson5910(28595)
 Question 173111: So I have a few problems that i cannot figure out. I need to factor these out. The first one is x^2-15wy+3xy-5wx The second one is 9x^2+2x-8 And the third is 24x^2-10x-4 I really need help with these. I have seen other examples and still can't figure it out. Could you please help me. Thank you. Click here to see answer by Alan3354(30993)
 Question 173111: So I have a few problems that i cannot figure out. I need to factor these out. The first one is x^2-15wy+3xy-5wx The second one is 9x^2+2x-8 And the third is 24x^2-10x-4 I really need help with these. I have seen other examples and still can't figure it out. Could you please help me. Thank you. Click here to see answer by stanbon(57377)

 Question 173104: Is the following equation rational? x^2+4 square root x+7/2x-5 Click here to see answer by stanbon(57377)

 Question 173074: What are real life examples where polynomials are used at home or at work. I need a example of both. Thanks Click here to see answer by stanbon(57377)

 Question 172998: Write each polynomial in standard form. Then classify it by degree and by number of terms. 1. –x2 + 2x + x2 2. 7x2 + 10 + 4x3 3. 3x(4x) + x2(2x2) Click here to see answer by midwood_trail(310)

 Question 173018: What is one basic principle that can be used to simplify a polynomial? Click here to see answer by midwood_trail(310)

 Question 173196: Solve by factoring and using the principle of zero products. 18d^2 + 30d + 12 = 0 Click here to see answer by Earlsdon(6287)

 Question 173204: It takes 11 hours for 6 people to paint a house. How long will it take 2 people to do the job? Click here to see answer by Alan3354(30993)

 Question 173203: Frank can type a report in 3 hours and James takes 4 hours. How long will it take the two of them typing together? Click here to see answer by Alan3354(30993)

 Question 173226: Which expression represents the sum of an odd integer,n, and the next three odd integers? Show your work. a) n+6 b) n+12 c) 4n+6 d) 4n+12 Click here to see answer by sofiyacherni(99)

 Question 173198: In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by N = n^2 - n. How many teams are in a softball league if the total number of games played is 42? Click here to see answer by jim_thompson5910(28595)

 Question 173191: Factor by grouping x^3 - 8x^2 + 5x - 40 Click here to see answer by jim_thompson5910(28595)

 Question 173195: Factor completely. 2x^2(p + q^3) - (p + q^3) Click here to see answer by user_dude2008(1861)

 Question 173201: Subtract. Simplify, if possible. 2x + 5/x^2 + 8x + 15 minus x + 2/x^2 + 8x + 15 Click here to see answer by user_dude2008(1861)

 Question 173199: Divide and, if possible, simplify. x^2 + 7x + 10/x + 5 divided by x^2 - 4/5x - 10 Click here to see answer by jim_thompson5910(28595)

 Question 173261: I need help with writing this in lowest terms 1. y^2+8y+12/y^2+9y+14 Simplify the complex fraction 2. x/x+1/9/x^2-1 Factoring to solve the equation 3. r^2+12r+36=14 Click here to see answer by vleith(2825)

 Question 173284: I need to simplify this problem(5-2i)^2 I do not know if I did it right but the answer I got was 25-16i was I close? Click here to see answer by jim_thompson5910(28595)
 Question 173284: I need to simplify this problem(5-2i)^2 I do not know if I did it right but the answer I got was 25-16i was I close? Click here to see answer by nerdybill(6962)
 Question 173284: I need to simplify this problem(5-2i)^2 I do not know if I did it right but the answer I got was 25-16i was I close? Click here to see answer by stanbon(57377)
 Question 173284: I need to simplify this problem(5-2i)^2 I do not know if I did it right but the answer I got was 25-16i was I close? Click here to see answer by monika_p(71)

 Question 173202: Solve the equation 3/y = y/5y - 12 Click here to see answer by Mathtut(3670)

 Question 173270: P dollars is invested at annual interest rate r for 1 year. if the interest is compounded semiannually then the polynomial P(1+r/2)2(this 2 is superscript) represents the value of the investment after 1 year. Rewrite the expression without parenthesis. Evaluate the polynomial if P=\$200 and r=10% Click here to see answer by nerdybill(6962)

 Question 173190: Express the answer in scientific notation to two decimals. A company produced 2,600,000 small appliances in one year and made a profit of \$6,690,000. What was the profit on each appliance? Click here to see answer by colliefan(239)