# 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 149169: Synthetic divison and factoring: x^3+3x^2-10x-24 --------------- = x+2 Click here to see answer by nabla(475)

 Question 149200: Create a polynomial function that meets the following conditions: Degree 4, 2 positive real zeros, 0 negative real zeros, 2 complex zeros. Click here to see answer by stanbon(57357)

 Question 149210: I need the answers and steps for these five. Even though this is my first question of the day I know it counts as 5 so I will only ask one other today Thanks 1.(2a5)3 2.(-3xy3)4 3. (5a3b4)2 4.(-mn8)3 5. (-2x2y)3 * (5xy3)2 Click here to see answer by ankor@dixie-net.com(15652)

 Question 149248: (x-8/x+5)/(x-9/x+4) why cant -5, 9, and -4 not allowable replacements for the variable x. Click here to see answer by nerdybill(6959)
 Question 149248: (x-8/x+5)/(x-9/x+4) why cant -5, 9, and -4 not allowable replacements for the variable x. Click here to see answer by ankor@dixie-net.com(15652)

 Question 149263: solve. x^2-x-6>0 I could use anyones help on this question. Thanks. Click here to see answer by josmiceli(9681)

 Question 149332: I am having a problem with evaluating the second part of this problem. 3^3-x^2+3x-4forx=3 Click here to see answer by edjones(7569)

 Question 149333: 1 The fuction is f(x) = x^2-4x - 2 g(x) = x+7 Find (f+g)(x)= (f-g)(x)= (f*g)(x)= Click here to see answer by stanbon(57357)

 Question 149353: Multiplying and Dividing Rational Expressions.... 1)(16x^2/y^4)Multiplied by (5x^2/y^2) 2) (6x^5y^3/5z^3)Multiplied by(6x^4/5yz^4) 3) (x^2+7x+12/x+4) Multiplied by (1/x+3) 4) (25xy^2/7z) Divided By (5x^2y^2/14z^2) 5)(x^2-12x+32/x^2-6x-16)Divided by (x^2-x-12/x^2-5x-24) I am aware that when you multiply and divide ration expressions the denominators must be the same, but I am unaware as to how to go about this. Can you please help me if at all possible with these questions so I can further apply these methods to the rest of my homework....... Click here to see answer by vleith(2825)

 Question 149403: Solve the exponential equation using the uniqueness property. (1/8)^2x-5 = 64^3x+2 Click here to see answer by stanbon(57357)

 Question 149498: Factor each polynomial x² - 5xs – 24s² Click here to see answer by mangopeeler07(462)

 Question 149499: Factor each polynomial completely. If a polynomial is prime say so 32a² + 4a -6 Click here to see answer by mangopeeler07(462)

 Question 149516: 6w 14wy __ / _____ 5y 15y 6w over 5y divided by 14 wy over 15y Click here to see answer by jim_thompson5910(28595)

 Question 149578: Rational Expressions and Equations Reduce to the lowest terms: 18x2 + 48x + 32 3x + 4 Divide the algebric expression: x - 2 / x - 2 x + 2 5 Click here to see answer by jim_thompson5910(28595)

 Question 149632: MAY SOMEONE PLEASE HELP ME WITH THIS PROBLEMS PLEASE??? Find 3y(2y3 - 5y). Use ^ to denote an exponent. Find 3x(4x2 + 2x - 5). Use ^ to denote an exponent. Find 4x(5x2 - 2x) + 3x2 Write an expression for the area of a rectangle with length 5x2+3x and width 3x2. Hint: A=LW. . Write an expression for the perimeter of a rectangle with length 5x2 + 3x and width 3x2. Hint: P = 2L + 2W. Click here to see answer by vleith(2825)

 Question 149665: Can any help me with this problem? I am supposed to use synthetic division to find the quotient and the remainder. (x^5+32) divided by (x+2) Thank you! Click here to see answer by Fombitz(13828)

 Question 149749: Perform the indicated operation -2a² 20a 3a² ˚ 15a³ Click here to see answer by jim_thompson5910(28595)

 Question 149769: don't know how to check my amswers for these.... simplify: (3x^3-x^2-4x+1)/(x-1) factor: 18x+x^2-11x factor: 6x^2+x-2 factor: 12x^3+31x^2+20x Click here to see answer by jim_thompson5910(28595)

 Question 149683: Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists. Captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population? Click here to see answer by checkley77(12569)

 Question 149751: Perform the indicated operation. Reduce each answer to lowest terms. 3 - 3__ 2y - 2y + 4 Click here to see answer by ankor@dixie-net.com(15652)

 Question 149682: The golden ratio. The ancient Greeks though that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than it’s width, then for what dimensions would the length and width have the golden ratio? Click here to see answer by kmcruz09(38)

 Question 149792: Venture capital Henry invested \$12,000 in a new restaurant. When the restaurant was sold two years later, he received \$27,000. Find his average annual return by solving the equation 12,000(1 + r)²=27,000 Click here to see answer by nerdybill(6959)

 Question 149806: Find the product of (2x2 + 7x - 4) with the quotient of (36x5 + 9x4 + 18x3) ÷ 3x3. How i would go back about setting the problem up? Please don't give me the answer. I just want to understand how to set the problem up. Thank you Click here to see answer by nerdybill(6959)

 Question 149803: Let f(x)= x^2 – 4x –5 / 3x^2 + 2 1. Find the domain. 2.Determine the vertical asymptote(s). 3.Determine the horizontal asymptote or oblique asymptote. 4.Find the y-intercept. 5.Find the x-intercept(s) Click here to see answer by stanbon(57357)

 Question 149802: 1. Use synthetic division to divide the polynomial 2x^3 + 7x^2 – 5 by 3+x and write the quotient and the remainder 2. Consider the polynomial f(x)= 4x^4+5x^3 + 7x^2 – 34x+8 By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. Find all of the zeros of the given polynomial. Show procedure Click here to see answer by jim_thompson5910(28595)

 Question 149809: I don't know if I did this problem right. Coffee drinkers. Among 100 coffee drinkers, 36 said that they preferred their coffee black and the rest did not prefer their coffee black. Find the ratio of those who prefer black coffee to those who prefer non black coffee. Coffee drinkers. Among 100 coffee drinkers, 36 said that they preferred their coffee black and the rest did not prefer their coffee black. Find the ratio of those who prefer black coffee to those who prefer non black coffee. 100 25.4 25 36 = 9.4 = 9 Answer: 25 to 9 prefer black coffee Click here to see answer by oscargut(891)

 Question 149750: Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. __4__ ____X__ x -y` 2y – 2x Click here to see answer by stanbon(57357)

 Question 149747: a.)Suppose that a market research company finds that at a price of p=\$20, they would sell x=42 tiles each month. If they lower the price to p=\$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answer in the form p=mx+b. (write an equation using two points). b.)A company's revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation p. Substitute the result from part a into the equation R=xp to find the revenue equation. here is what I have so far: a.) my equation are in the form p=mx+b 20 = 42x + b 10 = 52x + b I think I am supposed to find the difference. 20 = 42x + b -(10 = 52x + b) =10 = -52x This is where I am completely lost. Please help me. Thanks a lot! Click here to see answer by stanbon(57357)

 Question 149812: 4w - 1 _ w – 1= w - 1 3w + 6 3 = w +2 Click here to see answer by Alan3354(30993)
 Question 149812: 4w - 1 _ w – 1= w - 1 3w + 6 3 = w +2 Click here to see answer by marilynh31(1)