# 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 394901: Divide and simplify for h/a^2 divided by h^2/a^3? Click here to see answer by MathLover1(6634)

 Question 395136: A foul ball leaves a bat, hits home plate, and travels straight up with an initial volocity of the rebound of 64 ft/s. How many seconds later will the ball be 64 ft above the ground.I figured it out till I factored out the 16 and then got lost. H=64t-16t^2 64=64t-16t^2 has 64 subtracted from both sides and becomes the following: 0=-16t^2+64t-64 0=16(t^2+4t-4) I saw that the first and last terms were squares and so tried to see if it were a perfect square trinomial: (t-2)^2 but when I started the checking process the 2t(-2)=-4 but our middle term is positive four so it isn't a perfect square trinomial, I included right here how I began to check to see if the middle term would come out recalling the pattern for finding the square of a binomial, square of the first term, twice the product of the two terms, square of the last term(Courtesy.,Introductory Algebra: An Applied Approach (a+b)^2+a^2+2ab+b^2 so following what I spoke of above my problem looked like this(t)2+2(t)(-2)-(2)^2but I realized while lookingat the final term, that the final term if -(2)^2 would be -2*-2=4 not the negative four I needed. So the second thing I started was trying out the different combination of numbers-but became confused because I needed to have a negative 2 and a positive 2 to come out with a negative four but when plugged in (t+2)(t-2)comes to zero and not the positive four I need. I tried +4-1 and vice versa and nothing worked out so I figured I had done something wrong somewhere Click here to see answer by stanbon(57361)
 Question 395136: A foul ball leaves a bat, hits home plate, and travels straight up with an initial volocity of the rebound of 64 ft/s. How many seconds later will the ball be 64 ft above the ground.I figured it out till I factored out the 16 and then got lost. H=64t-16t^2 64=64t-16t^2 has 64 subtracted from both sides and becomes the following: 0=-16t^2+64t-64 0=16(t^2+4t-4) I saw that the first and last terms were squares and so tried to see if it were a perfect square trinomial: (t-2)^2 but when I started the checking process the 2t(-2)=-4 but our middle term is positive four so it isn't a perfect square trinomial, I included right here how I began to check to see if the middle term would come out recalling the pattern for finding the square of a binomial, square of the first term, twice the product of the two terms, square of the last term(Courtesy.,Introductory Algebra: An Applied Approach (a+b)^2+a^2+2ab+b^2 so following what I spoke of above my problem looked like this(t)2+2(t)(-2)-(2)^2but I realized while lookingat the final term, that the final term if -(2)^2 would be -2*-2=4 not the negative four I needed. So the second thing I started was trying out the different combination of numbers-but became confused because I needed to have a negative 2 and a positive 2 to come out with a negative four but when plugged in (t+2)(t-2)comes to zero and not the positive four I need. I tried +4-1 and vice versa and nothing worked out so I figured I had done something wrong somewhere Click here to see answer by Earlsdon(6287)

 Question 395137: Explain the error made in solving the equation. Solve the equation correctly x^2=x x^2/x=x/x x=1 I thought the error was that x^2 is not equal to x, but rather x^2 is equal to x*x and so it should have been multiplication and not division-yet I really don't know I am only taking a guess. I also don't know how to go about solving the equation itself Click here to see answer by stanbon(57361)
 Question 395137: Explain the error made in solving the equation. Solve the equation correctly x^2=x x^2/x=x/x x=1 I thought the error was that x^2 is not equal to x, but rather x^2 is equal to x*x and so it should have been multiplication and not division-yet I really don't know I am only taking a guess. I also don't know how to go about solving the equation itself Click here to see answer by Earlsdon(6287)
 Question 395137: Explain the error made in solving the equation. Solve the equation correctly x^2=x x^2/x=x/x x=1 I thought the error was that x^2 is not equal to x, but rather x^2 is equal to x*x and so it should have been multiplication and not division-yet I really don't know I am only taking a guess. I also don't know how to go about solving the equation itself Click here to see answer by richard1234(5390)

 Question 395069: Subtract, Simplify by removing a factor of one when possible, 15cp/c^2-p^2 - c-p/c+p? Click here to see answer by emargo19(101)

 Question 395156: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ? it took me a while trying to figure out what to do in the first place. i at least made it to writing the problem down from the sentence. i know the answer from previous sources. but i still dont know the steps on how exactly (2x-3)(3x+2)became 6x^2-5x-6. i would like to know the steps on how to turn it to 6x^2-5x-6. your help will be greatly appreciated. thank you Click here to see answer by mananth(12270)

 Question 395206: Factor the following expression into its linear or irreducible quadratic factors (having rational coefficients): . Click here to see answer by robertb(4012)

 Question 395231: For the polynomial below, -2 is a zero. f(x)=x^3+8x^2+14x+4 Express f(x) as a product of linear factors. Click here to see answer by richard1234(5390)

 Question 395269: A chemist needs a 26% acid mixture, but his lab only has 20% and 35% solutions. If he needs a total of 80 liters of the 26% solution, how much of each percent acid does he need? I was thinking: .20(x) + .35(y) = .26(80) but I'm stuck and it just doesnt' seem like the right way to do it. Click here to see answer by Alan3354(30993)
 Question 395269: A chemist needs a 26% acid mixture, but his lab only has 20% and 35% solutions. If he needs a total of 80 liters of the 26% solution, how much of each percent acid does he need? I was thinking: .20(x) + .35(y) = .26(80) but I'm stuck and it just doesnt' seem like the right way to do it. Click here to see answer by stanbon(57361)

 Question 395316: Solve the following equation for x, 1/x-2 + 5/x+2 = 7x/x^2-4. The solution is x=? Click here to see answer by ewatrrr(10682)

 Question 395319: Jack usually mows his lawn in 3 hours. Marilyn can mow the same yard in 7 hours. How much time would it take for them to mow the lawn together? Click here to see answer by ewatrrr(10682)

 Question 395322: A long distance trucker traveled 80 miles in one direction during a snow storm. The return trip in rainy whether was accomplished at double the speed and took 2 hours less time. Find the speed going? Click here to see answer by jrfrunner(365)

 Question 395315: Solve the following equation for x, x-2/x+4 = x-4/x+6. The solutions are x=? Click here to see answer by ewatrrr(10682)

 Question 395344: the width of a box is 9 inches more than its length. the height of the box is 1 inch less than its length. if the box has a volume of 72 cubic inches, what are the dimensions of the box. Height: x-1 Width: x+9 Length: x Click here to see answer by ewatrrr(10682)

 Question 395428: 28x to the second power + 21x = ? & Is the polynomial prime? Click here to see answer by Earlsdon(6287)

 Question 395661: Please help! I am having difficulty with this problem: Find an nth degree polynomial function with real coefficients satifying the given conditions: n=3; 4 and 2i are zeros; f(-1)=-50 Thank you so much for any help! Click here to see answer by Alan3354(30993)

 Question 395665: i need help with this word problem. It deals with Multiplying a Polynomial by a Monomial. LaTanya's modulat office is square. her office in th company's new building will be 2 feet shorter in one direction and 4 feet longer in the other. a. write expression for the dimenstions of LaTanya's new office b. Write a polynomial expression for the area of her new office. c.suppose her office is presently 9 feet by 9 feet. will her new office be bigger or smaller then her old office and by how much? explain. Click here to see answer by jrfrunner(365)

 Question 395840: it has been 2 days since my questions were submitted. It NEVER takes this long to get an answer. What is going on? Click here to see answer by Earlsdon(6287)