# 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 116863: how do you solve this rational expression.... for allr is not equal to 2 r^2-5r+6/r^2-4 the answer is r-3/r+2 i just need to know how to get this answer. Click here to see answer by ankor@dixie-net.com(15624)

 Question 117005: The distance an object falls is directly proportional to the square of the time it has been falling. After six seconds it has fallen 1296 ft. How long will it take to fall 2304 ft? Click here to see answer by ankor@dixie-net.com(15624)

 Question 116927: Divide. Simplify if possible (21x^2-20xy+4y^2/28^2+27xy-10y^2) divided by (15x^2-19xy+6y^2/10x^2+9xy-9y^2) Click here to see answer by jim_thompson5910(28476)

 Question 117064: Can you please help me with this problem. Factor each expression. 4(x + y) + t(x + y) Can you explain this step by step i do not understand any of this thank you julie Click here to see answer by edjones(7569)
 Question 117064: Can you please help me with this problem. Factor each expression. 4(x + y) + t(x + y) Can you explain this step by step i do not understand any of this thank you julie Click here to see answer by jim_thompson5910(28476)

 Question 117030: The area of the rectangle shown is 2(3x-2)over x-1. Find the width? The length given is 2x + 6 over 12x -15. I know area = l x w but how do you find the width when the area is given? Click here to see answer by scott8148(6628)

 Question 117079: umm, hello??? can anybody help me with my algebra problem?? the direction is to "Simplify each of the following complex rational expressions. 2 - 1/[2+[1 /{(x-1)/x}] I'm very sorry because i don't know how to type it in. But i hope you could give me your generous help by answering the question.. thnx!! _good luck_ _angELz_ Click here to see answer by jim_thompson5910(28476)
 Question 117079: umm, hello??? can anybody help me with my algebra problem?? the direction is to "Simplify each of the following complex rational expressions. 2 - 1/[2+[1 /{(x-1)/x}] I'm very sorry because i don't know how to type it in. But i hope you could give me your generous help by answering the question.. thnx!! _good luck_ _angELz_ Click here to see answer by edjones(7569)

 Question 117089: I can not figure out how to do these. Could you please help me? Thank you in advance! Solve for x. x over 6 - x over 8 = 1 x over x - 2 MINUS x + 1 over x EQUALS 8 over x squared - 2x Click here to see answer by josmiceli(9649)

 Question 117020: Complex fractions 1/xy + 2/x over 3/y - 1/xy I'm totally lost on complex fractions. Any assistance would be greatly appreciated. Click here to see answer by ankor@dixie-net.com(15624)
 Question 117020: Complex fractions 1/xy + 2/x over 3/y - 1/xy I'm totally lost on complex fractions. Any assistance would be greatly appreciated. Click here to see answer by stanbon(57220)

 Question 117157: I think this is so easy I am just thinking to much. I need to just insert the value for x right? the ploynomial thing is messing me up. Find the value of the polynomial 6x  1 when x = 3 and when x = 3. Click here to see answer by jim_thompson5910(28476)

 Question 117164: Factor completely. x^2  11x + 18 i entered it wrong the first time, sorry Click here to see answer by jim_thompson5910(28476)

 Question 117165: Factor by grouping. x^3  5x^2 + 2x  10. Click here to see answer by jim_thompson5910(28476)

 Question 117197: Can you please help me. I can not figure out how to solve these 2 equations. x/6 - x/8 =1 x/x-2 - x+1/x = 8/x squared-2x Click here to see answer by stanbon(57220)

 Question 117219: Factor completely x^3 + 6x^2 + 5x I thought i had it and realize that i didnt. Help please.. Click here to see answer by jim_thompson5910(28476)

 Question 117203: Suppose Sashac, a champion bicyclist, wants to see how far he can travel in an hour. He stats timing himself when he reaches a speed of 45 miles/hour. He maintains this speed for 10 minutes. Sascha starts to feel tired and slows down to 30 m/h for the next 5 minutes. He then reduces his speed to 25 m/h for the next 30 minutes. Finally, Sascha feels exhausted as he finishes the last 15 minutes at 15 m / h. I get the average speed he travels is 28.75 but get that he travels only 26.25 and if he travels for an hour it doesn't make sense what did I do wrong. Thanks: Suppose Sashac, a champion bicyclist, wants to see how far he can travel in an hour. He stats timing himself when he reaches a speed of 45 miles/hour. He maintains this speed for 10 minutes. Sascha starts to feel tired and slows down to 30 m/h for the next 5 minutes. He then reduces his speed to 25 m/h for the next 30 minutes. Finally, Sascha feels exhausted as he finishes the last 15 minutes at 15 m / h. I get the average speed he travels is 28.75 m/h but get that he travels only 26.25 when using d=(r)(t)and if he travels for an hour it doesn't make sense what did I do wrong. Thanks Click here to see answer by scott8148(6628)

 Question 117232: Factor each of the polynomials completely. -3s^2-10s+8 Thanks Click here to see answer by stanbon(57220)

 Question 117227: Solve the following equations. three fourths x MINUS two fifths x = 2 7/x MINUS 1/x-3 = 9/x squared - 3x Click here to see answer by checkley71(8403)

 Question 117003: "How can I factor and find the answer to this polynomial 3 2 2 3 10x y + 15x y - 5xy "That is ten x cubed y sqaured, + fifteen x sqaured y, - five x y cubed" Click here to see answer by scott8148(6628)

 Question 117239: Factor each expression. Find a value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n. Thanks Click here to see answer by checkley71(8403)

 Question 117235: this is easy i know but im thinking to much again divide 70x^3+10x^2 by -10x Click here to see answer by checkley71(8403)

 Question 117231: Simplify the complex fraction. 3 + 2/a OVER 3 - 2/a Click here to see answer by checkley71(8403)

 Question 117229: Find all positive values for k for which each of the following can be factored. x^2+x-k Thanks Click here to see answer by checkley71(8403)

 Question 117226: I hate word problems, and have a hard enough time figuring them out let alone making one up. How should I give an example of using polynomials in real life applications? Click here to see answer by checkley71(8403)

 Question 117260: x^2-3x-54 divided by x+6, what are the steps? Click here to see answer by jim_thompson5910(28476)

 Question 117276: Please help me to solve and under stand rational expressions. The questions states for all r not equal to +2 or -2, r^2 - 5r +6 / r^2 - 4 = ? Click here to see answer by stanbon(57220)

 Question 117288: Write the fractions in simplist form. 28x to the 5th power y to the 3rd power OVER -21x to the 3rd power y to the 4th power. 7x-21 OVER x squared + x-12 Click here to see answer by MathLover1(6614)

 Question 117006: x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled? Click here to see answer by ankor@dixie-net.com(15624)

 Question 117143: Simplify the expression. Write the reslut using positive exponents only. 5^-7x^-3y^2 ____________ 5^-4x^-6y^4 Click here to see answer by checkley71(8403)