# 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 204682: I need help factoring 12x squared+19x+4 Click here to see answer by nerdybill(6948)
 Question 204682: I need help factoring 12x squared+19x+4 Click here to see answer by jim_thompson5910(28476)

 Question 204594: The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was approximately 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio? Click here to see answer by checkley77(12569)

 Question 204713: x2 + 3x -10 x2 + 5X +6 ___________ X __________ x2 + 8x +15 x2 + 4X +4 Click here to see answer by checkley77(12569)

 Question 204721: If the rise is 3/2 and the run is 5, then what is the ratio of the rise to the run? Click here to see answer by Alan3354(30958)

 Question 204824: Hi, I was hoping you can help me on this: (3x+2)^7 Click here to see answer by stanbon(57219)

 Question 204815: Factor the polynomial expression. Write each factor as a polynomial in descending order. x2 + 8x + 15 Click here to see answer by nerdybill(6948)

 Question 204826: I was hoping I can get a step by step answer for this: (3x+2)^7 Click here to see answer by rfer(12644)
 Question 204826: I was hoping I can get a step by step answer for this: (3x+2)^7 Click here to see answer by MathTherapy(1421)

 Question 204903: divide the rational expression Click here to see answer by stanbon(57219)
 Question 204903: divide the rational expression Click here to see answer by alicealc(281)

 Question 204925: Solve by setting to zero and factoring Click here to see answer by alicealc(281)

 Question 204951: Divide (5x^7-3x^4+2x^2-10x+2)/(x^2-x+1) Click here to see answer by RAY100(1637)

 Question 204976: Expand the binomial and match your result to the correct answer below. (2x – 3)3 A) 8x3 – 36x2 + 54x – 27 B) 8x3 – 36x2 – 54x + 27 C) 8x3 – 18x2 + 27x – 27 D) 8x3 – 6x2 + 6x – 27 Click here to see answer by rfer(12644)

 Question 204977: Find the opposite of the polynomial and match your result to the correct answer below. –2r2 – r + 3 A) 2r2 + r – 3 B) 2r2 – r + 3 C) 2r2 + r + 3 D) 3 – r – 2r2 Click here to see answer by missyjeanxxi(1)

 Question 205029: A red and green ball are tossed in the air at the same time. The red ball is given the velocity of 96 feet per second and its height (t) seconds after it is tossed is -16t^2+96t feet. The green ball is given a velocity of 80t feet per second and its height (t) seconds after it is tossed is -16t^2+80t feet. What is the polynomial difference (t) that represent the difference in the heights of the two balls? How much higher is the read ball 2 seconds after the balls are tossed? In reality, when does the difference in the heights stop increasing? Do I subtract the second polynomial term from the first to get the difference? Click here to see answer by ankor@dixie-net.com(15623)

 Question 205043: simplify the following expressions, writing each in simpliest radical form with no square roots in the denominator. All variables represent non- negative reals. square root of 21x over square root of 12y Click here to see answer by Earlsdon(6287)

 Question 205067: I'm having a problem with solving this problem how do I perform the indicated operations of (x^2-4x+1)-(-8x^2+2x-6)-(x^2+3x+3/5) Click here to see answer by rfer(12644)

 Question 204948: Multiply [3a-(2a-3)][3a+(2a-3)] Click here to see answer by edjones(7569)

 Question 205098: Subtract rational expression 3x/3x^(2)+x-10 – 5/3x^(2)+x-10 Thank You!!! Click here to see answer by stanbon(57219)

 Question 205113: please help! this should read 3 to 3rd power then )2 over 3 sorry I am way beyond lost when it comes to math thanks in advance (33)2 3 Click here to see answer by stanbon(57219)

 Question 205112: Please help......Simplify All variables represent nonzero numbers. I can't get my problems to be entered correctly so I'm sure you already know but its 3y to 8th power etc....thanks I am so lost (3y8)4 2zy2) Click here to see answer by Alan3354(30958)

 Question 205142: xover 3=4 over x+1 Click here to see answer by checkley77(12569)

 Question 205182: Perform the computation and write in scientific notation 9.10 -4(exponent) over 3.10 -6(exponent) Click here to see answer by stanbon(57219)
 Question 205182: Perform the computation and write in scientific notation 9.10 -4(exponent) over 3.10 -6(exponent) Click here to see answer by MathTherapy(1421)

 Question 205242: A tent has the shape of a triangular prism. The volume of the tent is (x^3+7x^2+11x+5) cubic units. The triangular face of the tent is (2x+2) units wide by (x+1) units high. How long is the tent? Click here to see answer by Theo(3458)

 Question 205246: Swimming Space. The length of a rectangular swimming pool is 2x-1 meters, and the width is x+2 meters. Write a polynomial A(x) that represents the area. Find A(5). Here is what I tried - (2x-1)(x+2) = A 3x-2 = A 3(5) - 2= A A = 13 meters Click here to see answer by jsmallt9(3296)

 Question 205106: find the LCD of: 7/a^2+2a-63 , 8/a+9 Click here to see answer by profemmanuel2q@yahoo.com(15)

 Question 205270: (x - 1)yx2 - 7xy(x - 1) + 10(x - 1)y okay im tryin to do these for summer school work and i dont understand there are too many things going on and would you please tell me like a step by step thingj to do it Click here to see answer by stanbon(57219)

 Question 205302: how do express in lower terms: 3x/9x - 15 Click here to see answer by phnx(1)
 Question 205302: how do express in lower terms: 3x/9x - 15 Click here to see answer by stanbon(57219)

 Question 205303: use FOIL to find each product (5y3w2+z)(2y3w2+3z) Click here to see answer by stanbon(57219)

 Question 205301: Use FOIL to find each product (11x+3y)(x+4y) Click here to see answer by stanbon(57219)
 Question 205301: Use FOIL to find each product (11x+3y)(x+4y) Click here to see answer by angulgurl(1)

 Question 205300: (5x-6)(5x-6) Click here to see answer by xshorty73(6)

 Question 205389: a(a+16)=0 Click here to see answer by ichudov(499)

 Question 205411: The members of a flying club plan to share equally the cost of a \$200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by \$2000. How many members are currently in the club? Click here to see answer by ankor@dixie-net.com(15623)

 Question 205388: (16x^2 - 9)/((16x^2 - 24x +9) divided by (8x+6) He states his answer to the problem as 2(4x – 3). Is he correct? Click here to see answer by alicealc(281)

 Question 205524: how do I factor out completely 9x^2+4y^2 Click here to see answer by stanbon(57219)

 Question 205522: factorise x^6 - y^6 Click here to see answer by stanbon(57219)