# 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 339032: A rectangular counter top is 16 inches longer than it is wide. If the area of the counter top is 420 square inches, find the length and and the width. Click here to see answer by mananth(12270)

 Question 339137: Lisa can shovel snow from her driveway in 35 minutes. Tom can do the same job in 55 minutes. How long would it take Lisa and Tom to shovel the driveway if they worked together? Click here to see answer by nerdybill(7008)

 Question 339211: rationalize the denominator √5/y Any help would be great. Need to show work. Click here to see answer by jim_thompson5910(28715)

 Question 339212: Simplify by factoring √x^2+16x+64 Again, thanks for any help and need to show work. Thanks Click here to see answer by jim_thompson5910(28715)

 Question 339213: Could you please show me step by step help to solve: x^2 + 10xy + 16y^2 Click here to see answer by jim_thompson5910(28715)

 Question 339233: factor the following polymonial completely: 9x^3 + 63^2 +108x Click here to see answer by ankor@dixie-net.com(15746)

 Question 339234: factor the following polymonial completely: 2x^3 + x^2 - 6x - 3 Click here to see answer by alanc(17)

 Question 339255: Find the value of 4x^3 + 3x^2 for x= -2 Click here to see answer by stanbon(57967)

 Question 339350: WHAT IS THE EFFECT ON UPPER AND LOWER BOUNDS OF A POLYNOMIAL FUNCTION IF THE LEADING COEFFICIENT IS NEGATIVE? Click here to see answer by nyc_function(2733)

 Question 339605: Can you explain to me how a constant is found to add to the binomial so that it becomes the perfect square? Example: x2(exponent) - 2/3x Click here to see answer by jrfrunner(365)

 Question 339649: PLEASE HELP ME WITH THE SOLUTION OF THE PROBLEM 25X^2-81. I TRIED TO WORK THE PROBLEM AND THIS IS HOW I SOLVED IT (5x+9)(5x-9). Click here to see answer by Edwin McCravy(8999)

 Question 339673: 1) Solve by factoring and using the principle of zero products. x2 + 9x = 0 2) Factor completely. x2 - 50xy + 625y2 3) Factor completely. 3x3 + 24x2 + 48x 4) Factor completely. x4 - 24x2 - 25 Click here to see answer by Alan3354(31528)

 Question 339651: what is the answer to the letters... 4QA + 2QB - 145 = 0 Click here to see answer by Alan3354(31528)

 Question 339670: Solve by factoring and using the principle of zero products. (x + 3)(x - 9) = 13 Click here to see answer by checkley77(12569)

 Question 339668: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A mirror 2 feet by 6 feet is to be mounted on a door so that there is a uniform edge between the mirror and the door all around the mirror. How wide will the edge between the mirror and the door be if the area of the edge is 9 square feet? Click here to see answer by checkley77(12569)

 Question 339735: 7x^−1 + 7y^−1 divided by 9(x + y)^−1 I need to simplify and the other one is (x+h)^-4 minus X ^-4, / over H I am totally stuck on both of these problems. Click here to see answer by Fombitz(13828)

 Question 339782: Reduce the given expression to the simplest form: (3(x-2)^2)/(6(x-2)^4) Click here to see answer by Fombitz(13828)

 Question 340284: OK....need help been trying for the last hour.. still can't get it. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. If an object is propelled upward from ground level with an initial velocity of 224 feet per second, its height h in feet t seconds later is given by the equation h = 224t - 16t2. After how many seconds does the object hit the ground? Click here to see answer by nerdybill(7008)

 Question 340291: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. You are putting a stone border of uniform width around a rectangular garden that measures 6 yards by 15 yards. You only have enough stone to cover 100 square yards. How wide should the border be? can't lie I don't know what kinda of problem this is: can you explain and help? Word problems confuse me everytime. Click here to see answer by mananth(12270)

 Question 340283: Please, can anyone help me solve the following problem. Thank you. What positive value of k will the expression 9x^2 +kx + 25 factor into the form(ax+b)^2 for some real number a and some real number b? Click here to see answer by mananth(12270)

 Question 340370: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A rectangular platform is 11 feet longer than it is wide. If the area of the platform is 276 square feet, find the length and the width DOES ANYONE KNOW WHO TO SOLVE THIS PROBLEM? DO I MULITIPLY 275 X 11 TO GET THE LENGTH... PLEASE HELP! Click here to see answer by Fombitz(13828)
 Question 340370: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A rectangular platform is 11 feet longer than it is wide. If the area of the platform is 276 square feet, find the length and the width DOES ANYONE KNOW WHO TO SOLVE THIS PROBLEM? DO I MULITIPLY 275 X 11 TO GET THE LENGTH... PLEASE HELP! Click here to see answer by jrfrunner(365)

 Question 340348: 1. x^4-81 2. y^4-8y^2-48 3. 8a^3-b^3 4. 25x^2+30x+9 5. x^2+16 how to solve Click here to see answer by Fombitz(13828)

 Question 340395: 5. What simple interest rate will Susan need to secure to make \$2,500 in interest on a \$10,000 principal over 5 years? A. 4% B. 5% C. 6% D. 7% E. 8% Click here to see answer by solver91311(17077)

 Question 340394: 4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it? A. 2x + 5 (x-1) = 9, x = 2 B. p - 3(p-5) = 10, p = 2.5 C. 4 y + 3 y = 28, y = 4 D. 5 w + 6 w - 3w = 64, w = 8 E. t - 2t - 3t = 32, t = 8 How can i solve this.? Click here to see answer by Earlsdon(6294)
 Question 340394: 4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it? A. 2x + 5 (x-1) = 9, x = 2 B. p - 3(p-5) = 10, p = 2.5 C. 4 y + 3 y = 28, y = 4 D. 5 w + 6 w - 3w = 64, w = 8 E. t - 2t - 3t = 32, t = 8 How can i solve this.? Click here to see answer by solver91311(17077)

 Question 340389: 1. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number? A. ZY - V B. Z/V - 3 - Y C. Z/3 - V - Y D. 3V- Z - Y E. V- Z - Y Please help me understand the step to solve this problem. Click here to see answer by Earlsdon(6294)

 Question 340393: 3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? A. 12 minutes B. 15 minutes C. 21 minutes D. 23 minutes E. 28 minutes Click here to see answer by solver91311(17077)

 Question 340392: 2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking? A. 2 hours B. 4 ½ hours C. 5 ¾ hours D. 6 hours E. 7 ½ hours Click here to see answer by solver91311(17077)

 Question 340405: identify the degree of each term of the polynomial and the degree of the polynomial -7x^3+4x^2+5x+4 The degree of the 1st term= The degree of the 2nd term= The degree of the 3rd term= The degree of the 4th term= The degree of the polynomial= Click here to see answer by jim_thompson5910(28715)