# 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 41567: A triangle has sides 2x - 5, 3x + 1 and 4x + 2. Find the polynomial that represents its perimeter. Is it 9x - 2 Thanks for help Click here to see answer by mszlmb(115)

 Question 41566: I have to rewrite the middle term as the sum of two terms and then factor by grouping. x^2 + 16x + 60 Click here to see answer by mszlmb(115)

 Question 41570: Factor completely. x^2 - 13x + 36 I get (x - 9) (x-4) by looking at it - but to break it down I am not sure how to get to this answer. Thanks Click here to see answer by mszlmb(115)

 Question 41569: Complete the following statement x^2 + 2x - 80 = (x+10) ( ) This one is comfusing. Can someone help please. Thanks Click here to see answer by Nate(3500)

 Question 41555: What is the smallest value assumed by the polynomial p(x) = 4x^2 - 3x + 8? Click here to see answer by Nate(3500)

 Question 41594: ```Factor 12x4y3 + 16x3y3 - 20x3y4 Click here to see answer by AnlytcPhil(1276)  ```

 Question 41621: Factor 3x3 - 2x2 – 37x – 12 given that x + 3 is one of the factors Thanks Click here to see answer by psbhowmick(529)

 Question 41632: solve the following system of equations y=x^2-2x-2 y=x-4 Click here to see answer by cstahl1(1)

 Question 41630: simplify using synthetic division 3x^3 - 4x +5/x+4 Click here to see answer by Nate(3500)

 Question 41629: simplify using factoring and cancellation y^3 - 19y - 30/y+2 Click here to see answer by Nate(3500)

 Question 41752: Rational equations Juanelda’s doctor has prescribed medication that she must take every 5 hours. She started the medication at 10:00am on Thursday. What is the first day on which she will take her medication at noon? Write an equation that will prove this answer. Thank you. OK SO I THINK ITS ON A SATERDAY BUT I DONT KNOW HOW TO WRITE AN EQUATION TO PROVE THIS ANSWER. I JUST WENT 10:00AM THURSDAY, 3:00PM tHURSDAY, 8:00PM THURSDAY, 1:00AM FRIDAY, 6:00AM FRIDAY, 11:00AM FRIDAY, 4:00PM FRIDAY, 9:00PM FRIDAY, 2:00AM SATERDAY, 7:00AM SATERDAY, 12:00PM NOON SATERDAY Click here to see answer by psbhowmick(529)

 Question 41862: If one-half of one integer is subtracted from three-fifths of the next consecutive, the diffence is 3. What are the two integers? Thanks! Click here to see answer by Paul(988)

 Question 41865: A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster that the speed of the freight train, finfd the speed of each. Thanks! Click here to see answer by Paul(988)

 Question 41866: Ariana took 2 h longer to drive 360 mi on the 1st 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? Thanks! Click here to see answer by Paul(988)

 Question 41860: The combined resistance of two resistors R1 and R2 in a parallel circuit is given by the formula Rt = 1 over 1/R1 + 1/R2 simplify the formula. Thanks! Click here to see answer by checkley71(8403)

 Question 41900: Factoring out Monomials THIS IS MY LAST QUESTION AND ILL PASS MY CLASS TOMMOROW PLEASE HELP ME OUT HERE IM BEGGING YOU Mr. Jones says that he has 3 daughters, the product of whose s is 72. Furthermore, the sum of their ages is equal to his house number. A mathematician claims that even though he knows the house number, not enough information has been given to determine their ages. Thereupon, Mr. Jones adds that his youngest daughter likes raspberry yogurt. Smilingly, the mathematician announces the ages of the girls. What are the ages of the daughters? Thank you -this really confuses me ========my thoughts======== so why does it matter that she likes raspberry yogurt?? would it make a difference if she liked chocolate pie?? I don’t understand? and is this even what helps him figure their ages? maybe he knew the answer before Mr. Jones told him about her liking raspberry yogurt? or maybe it matters that she’s the youngest? a house number can have a variety of different numbers so how does that help? I don’t even know where to begin. maybe its a trick question. Click here to see answer by longjonsilver(2297)

 Question 41909: A triangular sheet of paper is 28 square inches, one side of the triangle is 2 inches more than 3 times the length of the altitudeto that side. Find the length of that side and the altitude to the side. please i donot know what formula to use of how to solve. this is not form the texbook. Click here to see answer by AnlytcPhil(1276)
 Question 41909: A triangular sheet of paper is 28 square inches, one side of the triangle is 2 inches more than 3 times the length of the altitudeto that side. Find the length of that side and the altitude to the side. please i donot know what formula to use of how to solve. this is not form the texbook. Click here to see answer by venugopalramana(3286)

 Question 41914: solve having problems with this d(d-3)=40 show work Click here to see answer by tutorcecilia(2152)

 Question 41867: 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? Thanks! Click here to see answer by fractalier(2101)

 Question 41854: The volume of the box is represented by (x^2 + 5x + 6) (x+5). Find the polynomial that represents the area of the bottom of the box. Click here to see answer by fractalier(2101)

 Question 41975: Hello, I tried to work out this problem: 2x^4+10x+8=0 and i got that x=+ or - i and x=+ or - 2i. Would you mind looking over those answers and telling me if they are correct? Thank you so much! Kendall Click here to see answer by fractalier(2101)

 Question 41972: -25 to the -3/2 power I got -1/1953 is this correct? Click here to see answer by psbhowmick(529)

 Question 42082: If a triangle's three sides are 3/4x 1/x^2 5/x^2 Find an expression that represents its perimeter. Should it just be adding the three together or is there something more I am missing. If I need to simplify is there a way to do it? Thanks Click here to see answer by Earlsdon(6287)
 Question 42082: If a triangle's three sides are 3/4x 1/x^2 5/x^2 Find an expression that represents its perimeter. Should it just be adding the three together or is there something more I am missing. If I need to simplify is there a way to do it? Thanks Click here to see answer by tutorcecilia(2152)

 Question 42097: Determine the equation of any vertical asymptotes of the graph of: f(x)= (2x+3)/(x^2+2x-3). Thanks Click here to see answer by venugopalramana(3286)

 Question 42100: If y varies directly as x and y=4 when x=-2, find y when x=30. Click here to see answer by venugopalramana(3286)

 Question 42101: The area of a triangle varies jointly as the length of its base b and height h. If A is 75 when b=15 and h=10, find A when b=8 and h=6. thanks Click here to see answer by venugopalramana(3286)

 Question 42095: FIND the LCM of the set of polynomials: t^2-t-12 and t^2+2t-24. Thanks Click here to see answer by venugopalramana(3286)

 Question 42093: Find the LCM for the pair of polynomial: 7m-21 and 14m-42. Click here to see answer by venugopalramana(3286)

 Question 42091: For what value(s) of x ist the expression (x^2-4x+4)/(2x^2-3x-2) undifined? Thanks Click here to see answer by venugopalramana(3286)

 Question 42080: Write in simplest form 3 divided by x^2 + 4x + 3 minus 1 divided by X^2 - 9 Click here to see answer by psbhowmick(529)
 Question 42080: Write in simplest form 3 divided by x^2 + 4x + 3 minus 1 divided by X^2 - 9 Click here to see answer by PaulAllen65270(19)

 Question 42022: Write in simplest form. 4r^2 - 25s^2 divided by 2r^2 + 3rs - 20s^2 Click here to see answer by tutorcecilia(2152)

 Question 42106: i would like to know how would i slove this problem? (3+5k^2-2k)+(2k^2-3k-10) Click here to see answer by tutorcecilia(2152)

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