# 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 546920: I am trying to factor... The exact problem says : The following formula is true : a^3-b^3=(a-b)(a^2+ab+b^2). Factor the following expression using the above formula: y^3x^3-64 Please help!! Click here to see answer by mananth(12270)

 Question 546994: Factor each expression. 1. 216x^3 – 1 2. 8x^3 + 125 3. x^4 – 5x^2 + 4 Please any help??? Click here to see answer by Earlsdon(6291)

 Question 547008: For each of the following polynomials, (a) list the degree of each term; (b) determine the leading term and the leading coefficient; and (c) determine the degree of the polynomial. 9x4 + x2 + x7 – 12 Click here to see answer by mananth(12270)

 Question 547122: In 2005, Ebony magazine gross sales amounted to \$6,550,500,000. In 2003, its sales were \$5,115,250,000. What was the percent growth in Ebony magazine sales from 2003 to 2005? You can find the percent of growth in Ebony magazine sales from 2003 to 2005, follow these steps: a. Write Ebony magazine 2003 sales and 2005 sales in scientific notation. b. Find the increase in sales from 2003 to 2005. c. Divide the increase in sales from above by the sales from 2003 d. Multiply the result by 100 e. Do all your work by using scientific notation Click here to see answer by JBarnum(2044)

 Question 547170: Factor completely: 4y^2-12y+9-z^2 So, I tried but I'm stuck. Here's my work so far. (4y^2-z^2)+(9-12y) (2y-z)^2 + 3(3-4y) I'm not sure if it's at all correct. Click here to see answer by bucky(2189)

 Question 547232: I know that you have to subtract exponents, but what do I do when the answer would be negative? Also, the instructions tell me to simplify the expression with positive exponents. Click here to see answer by mathie123(224)

 Question 547294: Solve by factoring and using the principle of zero products Click here to see answer by mathie123(224)

 Question 547335: Determine a fourth- degree polynomial P(x) with integer coefficients that has Zeros -3i and 4, where 4 has a multiplicity of 2. Click here to see answer by Edwin McCravy(8924)

 Question 547345: 24x^2y-12x^2+20xy-10x is the polynomial I am supposed to factor out. I factor with 2x the first time around, I am then left with 2x[3x(4y-2)5(2y-1)] in which I do not have "twin parenthesis, what am I doing wrong here? Click here to see answer by stanbon(57424)

 Question 547620: Essay question: show all work. Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial x2 – 3x + 6. She estimates that utilities costs for one month is given by 7x – 9. Find and simplify an expression that would estimate Suzie’s total costs for one month. Click here to see answer by josmiceli(9698)

 Question 547619: . Short Answer. State the degree of the given polynomial: -6x6 + 5x5 + 9x3 – 2 Click here to see answer by stanbon(57424)

 Question 547621: Essay question: show all work. Find the difference: (-8x2 + 4x + 2) – (-2x2 + 2x – 7) Click here to see answer by saifoo.khan(162)

 Question 547623: List the coefficients of the given polynomial: 7x3 + 3x2 – 9x + 1 Click here to see answer by saifoo.khan(162)

 Question 547652: 160 galons of 8% fat-milk is mixed with non-fat milk (0%) to make 2% fat-milk. How much non-fat milk is needed? Click here to see answer by mananth(12270)

 Question 547800: (x2 - 13x - 48) / (x + 3) Click here to see answer by rfer(12678)

 Question 547869: Find the product: 3x(-x2 – 6x + 2) Click here to see answer by JBarnum(2044)

 Question 547871: Choose the best response to describe the polynomial: 5x4 + 8x3 – 5x + 3 It is a trinomial It has a leading coefficient of 5. It is of degree 5. It is quadratic. Click here to see answer by stanbon(57424)

 Question 547898: how do you solve 2-4i divided by 3+i Click here to see answer by josmiceli(9698)

 Question 547929: Help me to undestand how to solve this equation. r^5+25-10r. The answer I got is (r-5)^2 Click here to see answer by josmiceli(9698)

 Question 548196: The cost, in millions of dollars, to remove x % of an oil spill in the Gulf of Mexico modeled by c=18,000/215-2x (Do not convert the percentages below) a. What is the cost to remove 15% of the pollutant? b. What is the cost to remove 25% of the pollutant? c. What is the cost to remove 45% of the pollutant? d. What is the cost to remove 65% of the pollutant? e. What is the cost to remove 85% of the pollutant? Click here to see answer by JBarnum(2044)

 Question 548194: The cost, in millions of dollars, to remove x % of an oil spill in the Gulf of Mexico modeled by (Do not convert the percentages below) a. What is the cost to remove 15% of the pollutant? b. What is the cost to remove 25% of the pollutant? c. What is the cost to remove 45% of the pollutant? d. What is the cost to remove 65% of the pollutant? e. What is the cost to remove 85% of the pollutant? Click here to see answer by JBarnum(2044)

 Question 548212: 9x^4+9x^3-22x^2-4x+8=0 solve for all zeros, real and complex numbers Click here to see answer by stanbon(57424)

 Question 548254: Sliced turkey costs \$3.20 per pound. Roast beef costs twice as much, and ground beef costs half as much as the turkey. Find the price of 1.75 pounds of sliced turkey. Click here to see answer by solver91311(16897)

 Question 548279: A research market 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 I need the equation of the line for the demand equation and then a answer using the form p=mx+b . I have to write an equation using two points in the form (x,p) Click here to see answer by Sarpi(32)

 Question 548329: Help me to understand how i got the answer for this equation. -x^2-2x+15=0 the answer i got is 3 and -5 Is this correct? show steps please. Click here to see answer by rfer(12678)