# 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 45992: The following table gives some of the values of a 5th degree polynomial p(x). Based on the values shown, what is the minimum number of real roots of the equation p(x) = 0? The Table x 0, 1, 2, 3, 4, 5, 6, 7 p(x) -30, 22, 110, 150, 34, -130, 222, 2,350 The choices for answers are (A) one (B) two (C) three (D) four (E) five The answer is (C) three real roots I don't understand how they got this answer. Thank you for your help. Cindy Konopasek Click here to see answer by Nate(3500)

 Question 46019: How do I simplify this problem and the steps for it. x^2-4x+2xy-8y I know that the answer is (x-4)(x+2y) but do not know how to get there. Click here to see answer by Nate(3500)

 Question 46026: Hello there, I am almost done with solvong a question but need a little more help. The equation is x^2-4x+2xy-8y and I am at the step of x(x-4)+2y(x-4) and I am unsure how to get to the answer of (x-4)(x+2y) can anyone help? Click here to see answer by fractalier(2101)

 Question 46039: 5x^2-9x-2 How do you identify a factor of this trinomial using the AC method? Click here to see answer by Nate(3500)

 Question 46187: If f(x)= x(x=3)(x-1), use interval notatin to give all values of x where f(x)>0. Click here to see answer by Nate(3500)

 Question 46190: Find the polynomial f(x) of degree three that has zeroes at 1.2 and 4 such that f(0) = -16. Click here to see answer by Nate(3500)
 Question 46190: Find the polynomial f(x) of degree three that has zeroes at 1.2 and 4 such that f(0) = -16. Click here to see answer by AnlytcPhil(1278)

 Question 46197: Find all the roots of the polynomial x^3-x^2=16x-16. Click here to see answer by Nate(3500)

 Question 46195: I have a word problem that I would like to check to see if i got it right. Please check my answer if you would. Carlos can paint a house in 15 days. Carlos and Michael working together can do the same job in 10 days. How long would it take michael to do the job working alone? Answer to the nearest tenth of a day. I got 10.0 days. Thanks for checking. Click here to see answer by Nate(3500)

 Question 46189: If f(x) =x(x-1)(x-4)^2, use interval notation to give all values for x where f(x)>0. Click here to see answer by Nate(3500)

 Question 46265: Hello, Can someone please help me with this? The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients. I have come up with two different answers and I am really confused: Is one of these answers correct? f(x)=(x+4)(x^2+6x+10) or f(x) = (x-4)(x^2-6x+10) Thank you V/r Doug Click here to see answer by venugopalramana(3286)

 Question 46318: how could you do it? 3(4x - 7) + 2x Click here to see answer by Nate(3500)

 Question 46315: Given that (3x-a)(x-2)(x-7)=3x^3-32x^2+87x-70, determine the value of a. Click here to see answer by Nate(3500)

 Question 46352: The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period? Click here to see answer by Nate(3500)

 Question 46349: The third degree polynomial f(x) with real coefficients and leading coefficient1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients. Click here to see answer by Nate(3500)

 Question 46564: I am doing something wrong....I can not do this problem. WORD PROBLEM: SCIENCE AND MEDICINE. A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane's speed in still air? Click here to see answer by checkley71(8403)

 Question 46561: I am having problems with this word problem: NUMBER PROBLEM: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two inegers? Click here to see answer by checkley71(8403)
 Question 46561: I am having problems with this word problem: NUMBER PROBLEM: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two inegers? Click here to see answer by hasina(4)

 Question 46563: Could someone show me step by step how to do this? Word Problem:Science and medicine. Ariana took 2 hours longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day? Click here to see answer by checkley71(8403)
 Question 46563: Could someone show me step by step how to do this? Word Problem:Science and medicine. Ariana took 2 hours longer to drive 360 mi on the first day of a trip than she took to drive 270 mi on the second day. If her speed was the same on both days, what was the driving time each day? Click here to see answer by tutorcecilia(2152)

 Question 46554: find the sum : 3+a^2+29 a^2-8a+5 how so you solve it ? please explain to me the steps and how to do it Click here to see answer by checkley71(8403)

 Question 46568: My answer is not working right, please help. Word Problem:Scince and medicine. The combined resistance of two resistors R(low)1 and R(low)2 in a parallel circuit is given by the formula R(low)t = 1 ________________________ 1/R(low)1 + 1/R(low)2 Click here to see answer by Nate(3500)

 Question 46780: What values for x must be excluded in the following fraction? -7/(x-6) Click here to see answer by Nate(3500)