# 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 208008: Please help me solve these problems! Could you tell me if I have the right answers for below??? Multiply and simplify. 5^16*5^24=5^-8 Divide and simplify. (6v)^9 1 (6v)^14 = 6t^5 Multiply. (y^2-8)(3y^2-6y+4) =3y^4 - 6y^3 - 20y^2 +48y -32 Thank you very much!!! Click here to see answer by Alan3354(30993)

 Question 208055: Ok, I have to simplify the following expression, (3x^2-9x+6)/(10-5x). For the first expression I got 3x^2-3x-6x+6 which I broke down to 3x(x-1)-6(x-1)=(3x-6)(x-1). So I have (3x-6)(x-1)/(10-5x). Ok can this be further simplified? I got stuck here. Click here to see answer by rapaljer(4667)

 Question 208048: add or subtract as indicated. simplify. show your factoring, cancelling, and the sttep for finding the lowest common denominator. (assume that no denominator is 0. x^2+7x/3+4/9 Click here to see answer by rapaljer(4667)

 Question 207973: solve system using substution method x+2y=20 5x-2y=16 solution (?,?) Click here to see answer by checkley77(12569)

 Question 208120: I am trying to solve the following equations but I am having trouble. 1. (x+h)(x+k)=0. Do I use the FOIL method x^2+xk+hx+hk=0 2. w^2+3w=18. I am not sure where to start with this one. w^2+3w-18 w^2+6w-3w-18 w(w+6)-3(w+6) -3w(w+6) I am totally lost for solving 'w'. Can you help me? Click here to see answer by jim_thompson5910(28598)

 Question 208136: Can someone help me solve these equations: (w+3)^-1/3=1/3 and (x+2)^3/2=-1 I have no clue where to start. Click here to see answer by Alan3354(30993)
 Question 208136: Can someone help me solve these equations: (w+3)^-1/3=1/3 and (x+2)^3/2=-1 I have no clue where to start. Click here to see answer by ankor@dixie-net.com(15667)

 Question 208153: Let f(x)=3/4x-1/2, A) find f(2)+f(-2) and B) find the zero of f(x). So far, I did 3/4(2)-1/2. Then I did 3/4(-2)-1/2. I got 1 and -2 so I added them and got -1 for A). But for B), I don't quite understand what that section of the question is asking Click here to see answer by jim_thompson5910(28598)

 Question 208173: I am not sure how to solve this: 2d^2 + 3d^2 - 4e^2 - 5e^2 I know (2d^2 + 3d^2) = 5d^2 but is the next part of the equation -(4e^2 - 5e^2) = -1e^2 or +(-4e^2 - 5e^2) = -9e^2 Can you please help? Thank you!!!! Click here to see answer by stanbon(57424)
 Question 208173: I am not sure how to solve this: 2d^2 + 3d^2 - 4e^2 - 5e^2 I know (2d^2 + 3d^2) = 5d^2 but is the next part of the equation -(4e^2 - 5e^2) = -1e^2 or +(-4e^2 - 5e^2) = -9e^2 Can you please help? Thank you!!!! Click here to see answer by rapaljer(4667)

 Question 208164: I am trying to solve (x-3)^2+(x+2)^2=17. So I get (x-3)(x-3)+ (x+2)(x+2)=17 I tried the FOIL method here to get x^2-3x-3x+9=17 and x^2+2x+2x+4=17. For the first equation I did this: x^2-6x+9-17=17-17, which is x^2-6x-8 which I cannot factor unless I make -6x and -8 into positive integers. For the second equation I did this: x^2+4x+4-17=17-17, which is x^2+4x-13 which I cannot factor. Please tell me what I am doing wrong. Click here to see answer by Alan3354(30993)
 Question 208164: I am trying to solve (x-3)^2+(x+2)^2=17. So I get (x-3)(x-3)+ (x+2)(x+2)=17 I tried the FOIL method here to get x^2-3x-3x+9=17 and x^2+2x+2x+4=17. For the first equation I did this: x^2-6x+9-17=17-17, which is x^2-6x-8 which I cannot factor unless I make -6x and -8 into positive integers. For the second equation I did this: x^2+4x+4-17=17-17, which is x^2+4x-13 which I cannot factor. Please tell me what I am doing wrong. Click here to see answer by rapaljer(4667)

 Question 208295: Write an equation of variation for the situation: In a stream, the amount S of salt carried varies directly as the sixth power of the speed V of the stream. Click here to see answer by rfer(12678)

 Question 208301: A truck enters a highway driving 60 mph. A car enters the highway at the same place 7 minutes later and drives 72 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck? Click here to see answer by Alan3354(30993)
 Question 208301: A truck enters a highway driving 60 mph. A car enters the highway at the same place 7 minutes later and drives 72 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck? Click here to see answer by rfer(12678)

 Question 208274: rachel allows herself 1hr to reach a sales appointment 50mi away. After she has driven 30mi, she realizes that she must increase her speed by 15mph in order to get there on time. What was her speed for the first 30mi? Click here to see answer by ankor@dixie-net.com(15667)

 Question 208412: pls. help me to solve this equation I really dont know how to get the root Using the Descartes’ Rule of signs, give by means of tabulation, all the possible combinations of the number of positive roots, negative roots and imaginary roots. Find all roots by synthetic division and using the remainder theorem and the factor theorem. 1.) x^4-4x^3+4x-1=0 2.) 4x^4+8x^3-7x^2-21-9=0 thank you very much for your help Click here to see answer by stanbon(57424)

 Question 208456: use the leading coefficient test determine the end behavior of the polynomial fuction f(x)=-2x^3+4x^2+2X-3 Click here to see answer by Edwin McCravy(8924)

 Question 208751: what is the solution to the four term factor polynomial by grouping 7y-63+xy-9x? Click here to see answer by stanbon(57424)
 Question 208751: what is the solution to the four term factor polynomial by grouping 7y-63+xy-9x? Click here to see answer by RAY100(1637)

 Question 208733: Factor each polynomial completely. T^2 + 20r + 100 Click here to see answer by scott8148(6628)

 Question 208726: Simplify each expression. Assume all variables represent nonzero real numbers. -4^0 – 3^0 Click here to see answer by checkley77(12569)

 Question 208936: Hi, I need help factoring the following equation: (x-2)^3-1 I have taken it to this level; x^3-6x^2+12x-9. Thank you for any help you can provide. Click here to see answer by nyc_function(2733)

 Question 208585: Perform the indicated operations and simplify. I think I can just start by crossing off things that cancel each other.... but after that I am lost. v-6/v-9 - v+1/v+9 + v-63/v^2-81 HELP!! PLEASE!! Click here to see answer by RAY100(1637)

 Question 209058: find the value of k so that the remainder of (-kx^4 - 146x^2 + 32)divided by (x-4)is 0 A)37/4 B)9 C)-37/4 D)-9 Click here to see answer by stanbon(57424)

 Question 209055: use partial functions to decompose the expression 17n-23 / 4n^2+23n-6 Click here to see answer by stanbon(57424)

 Question 209104: What is the name of the polynomial 4x^5+7x^2-3 ? Click here to see answer by RAY100(1637)