# 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 292371: How to factor completely. If the polynomial is prime,could you please state it: 48x2 + 40xy - 48y2 Click here to see answer by scott8148(6628)

 Question 292441: Which polynomial is prime? a.2x^2 - 5x + 3 b.10x^2 - 11xw + 6w^2 c.9y^2 + 29yn + 6n^2 d.none of the above Click here to see answer by richwmiller(9143)

 Question 292489: How do you solve: The height h in feet reached by a dolphin t seconds after breaking the surface of the water is given by h = -16t^2 + 32t How long will it take the dolphin to jump out of the water and touch the trainer's hand? Click here to see answer by nerdybill(6963)

 Question 292484: How do you solve: -3y + 18 = y^2 Thank you! Click here to see answer by richwmiller(9143)

 Question 292541: find the roots of the polynomial equation. x^2 + x - 72 = 0 Click here to see answer by jim_thompson5910(28598)

 Question 292273: A red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is 16t2  96t feet. The green ball is given an initial velocity of 80 feet per second, and its height t seconds after it is tossed is 16t2  80t feet. a) Find a polynomial D(t) that represents the difference in the heights of the two balls. b) How much higher is the red ball 2 seconds after the balls are tossed? c) In reality, when does the difference in the heights stop increasing? Click here to see answer by ankor@dixie-net.com(15661)

 Question 292594: I need to find the quotient using long division. 9a^3-3a^2-3a+4 divided by 3a+2 I understand the first step 9a^3/3a= 3a^2 then 3a^2(3a+2)= 9a^3+6a^2 leaving a balance of -9-3a+4 then -9/3a=-3a which brings me to -3a(3a+2)=-9a^2-6a which leaves a balance of a^2+3a+4 here is where I am confused if I perform a^2/3a I think the result is 1/3a The answers state that quotient of 9a^3-3a^2-3a+4 divided by 3a+2 is equal to 3a^2-3a+1+ (2 over 3a+2) I am unsure how they solve the last expression. Click here to see answer by richwmiller(9143)

 Question 292600: 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 Theo(3468)

 Question 292590: Perimeter of a triangle. The lengths of the sides of a triangle are 1x , 21x , and 32x meters. Find a rational expression for the perimeter of the triangle. ***Again rational expressions i do not understand how to write. My best try at this i came up with: perimeter = 1x + 21x + 32x. The permiter of anything is adding all the sides to gether. Am i correct in my thinking?? Click here to see answer by richwmiller(9143)

 Question 292586: Would part a be----- 120/x...im so sure on how to write one!! Would part b be------ 120/5 again not so sure, but i think this is nto right, because it was to simple this stuff is not that simple. Please help??? Magazine sales. Henry sold 120 magazine subscriptions in x days. a) Write a rational expression for the rate at which he sold the subscriptions. b) Suppose that he continues to sell at the same rate for 5 more days. Write a rational expression for the number of magazines sold in those 5 days. Click here to see answer by richwmiller(9143)
 Question 292586: Would part a be----- 120/x...im so sure on how to write one!! Would part b be------ 120/5 again not so sure, but i think this is nto right, because it was to simple this stuff is not that simple. Please help??? Magazine sales. Henry sold 120 magazine subscriptions in x days. a) Write a rational expression for the rate at which he sold the subscriptions. b) Suppose that he continues to sell at the same rate for 5 more days. Write a rational expression for the number of magazines sold in those 5 days. Click here to see answer by Theo(3468)

 Question 292610: 4 / x -y , 5 / 6 - a A) Find the LCD for the rational expression. B) Convert to equivalent rational expressions using the LCD as the denominator. **With this i do not know how to do it. I know how to find the LCD of regular numbers but this has me stumped and ready to give up on ever learning math!!!! Click here to see answer by richwmiller(9143)

 Question 292629: the robertsons put a rectangular pool with a stone walkway around it in their backyard. the total lenghth of the pool and walkway is 3 times the total width.the walk way is 2 feet all around. a. WRITE AN EXPRESSION FOR THE AREA OF THE POOL B FIND THE AREA OF THE POOL WHEN THE TOTAL WIDTH IS 10FT C FIND THE AREA OF THE POOL WHEN TE WIDTH IS 9 FT. Click here to see answer by texttutoring(324)

 Question 292638: If a#b=a/b+b/a what is the value of (3#2)-(2#3)? Click here to see answer by jim_thompson5910(28598)

 Question 292683: I can't remember how to "go backwards" in this equation with imaginary numbers! Can you please help explain this problem to me? Write a third degree polynomial equation with rational coefficients that has roots -5 and 6+i Thank you!! Click here to see answer by scott8148(6628)

 Question 292447: solve the polynomial function: b^2 + 2b^2 - 24 = 0 Click here to see answer by nerdybill(6963)

 Question 292890: y=(x-6)^7(x-4)^5(x-2)^2(x+6)^4 at x=3 where is the curve? -above the axis -on the axis -below the axis Click here to see answer by stanbon(57412)

 Question 292891: y=2(x-8)^8(x+3)^2(x+7)(x) at x=-2 where is the curve? -above the x-axis -on the x-axis -below the x-axis Click here to see answer by stanbon(57412)

 Question 292943: Two negative integers have a sum of -10. If the sum of their squares is 68, then what are the two integers? Click here to see answer by jim_thompson5910(28598)

 Question 292925: How do you simplify: 6t - 42/ 7-t Thank you! Click here to see answer by jim_thompson5910(28598)

 Question 292926: How do you simplify: -5x^2 - 2x +3/ x^2 + 2x - 15 Thank you! Click here to see answer by richwmiller(9143)

 Question 292961: How do you simplify: x^2 + y^2/ x + y Thank you! Click here to see answer by jim_thompson5910(28598)

 Question 292962: How do you solve: Find all the values of x for which the rational expression is undefined. x^2 - 4x/x^2 + 4 I already have the numerators. Thank you! Click here to see answer by jim_thompson5910(28598)

 Question 292981: I have tried several times to figure this one out...Any help with this would be greatly appreciated! Thanks! The weight of an object on a small planet in Alpha Centauri is governed by the following equation: w=c*r^-1/2 Here, C is a constant, and r is the distance that the object is from the center of the planet. Solve the above equation for r. Click here to see answer by jim_thompson5910(28598)

 Question 292945: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field? Click here to see answer by ankor@dixie-net.com(15661)

 Question 293117: Simplify by removing factors of 1. 8w-56/8w Thank You! Click here to see answer by richwmiller(9143)

 Question 293192: 1/2-1/4 divided by 3/8+1/16 I got 9/16-4/16 divided by 6/16+1/16 answer 6/16 times 16/1 cancel the 16's and it is 5 Click here to see answer by richwmiller(9143)
 Question 293192: 1/2-1/4 divided by 3/8+1/16 I got 9/16-4/16 divided by 6/16+1/16 answer 6/16 times 16/1 cancel the 16's and it is 5 Click here to see answer by Alan3354(30993)