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 106371: Question 54. This is dealing with adding/subtracting rational expressions (the below are supposed to be fractions, but I didn't know how to write them in here so you'd understand. Sorry if it doesn't come across pretty) 2 - 3 ___ ___ 5w+10 2w-4 This is what I have so far, but I am a bit confused. I know that I need to find the LCD. Because of the numerators the way they are, I know that they are: 5w+10 which can be factored to 5(w+2) 2w-4 which can be factored to 2(w-2) So, still they don't match as they have in other equations. 2*2(w-2) - 3*5(w+2) ___________ __________ 5(w+2)*2(w-2) 2(w-2)*5(w+2) Not sure if I did that right This then becomes: 4(w-2) - 15(w+2) _________ __________ 5(w+2)*2(w-2) 2(w-2)*5(w+2) I am going to stop there, because I have a horrible feeling that I am way off track. Can you please help? Click here to see answer by stanbon(57410)
 Question 106371: Question 54. This is dealing with adding/subtracting rational expressions (the below are supposed to be fractions, but I didn't know how to write them in here so you'd understand. Sorry if it doesn't come across pretty) 2 - 3 ___ ___ 5w+10 2w-4 This is what I have so far, but I am a bit confused. I know that I need to find the LCD. Because of the numerators the way they are, I know that they are: 5w+10 which can be factored to 5(w+2) 2w-4 which can be factored to 2(w-2) So, still they don't match as they have in other equations. 2*2(w-2) - 3*5(w+2) ___________ __________ 5(w+2)*2(w-2) 2(w-2)*5(w+2) Not sure if I did that right This then becomes: 4(w-2) - 15(w+2) _________ __________ 5(w+2)*2(w-2) 2(w-2)*5(w+2) I am going to stop there, because I have a horrible feeling that I am way off track. Can you please help? Click here to see answer by solver91311(16897)

 Question 106490: You have a lot you believe to be 157' x 157'. After lot is surveyed you discover that one side is 2' shorter and the other side is 2' longer. How much less area do you have than originally believed? Click here to see answer by stanbon(57410)

 Question 106491: P dollars is invested at annunal interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P=\$200 and r=10%. Click here to see answer by checkley75(3666)

 Question 106495: -12z^4y^2/-2z^10y^2 I need to find the quotient. I came up with 12z/8z but I don't think this is correct. Click here to see answer by checkley75(3666)

 Question 106486: I need help I am adding and subtracting polynomials and I get it and I understand the steps on problem is I have come across a question that I dont 0understand okay this is the problem is (12x^2y^2z^3+2+24x^2-(-2x^2y^2z^3+24x^2)okay so i did the first step i removed the parenthesis from the first part. Now im stuck i need to distrubute the minus sign threw out the parenthesis by changing the signs to there oppisites but i dont know if like for example where it says -2x^2 i know i change that to 2x^2 but then theres 2y^2 and i dont know if im suppsosed to change the sign of that or is that just one term and i leave it alone because my next step is to seperate and combine like terms anyways im confused if you could please help. Click here to see answer by stanbon(57410)

 Question 106516: Can you help me solve this equation? (x-2)/3-(x-3)/5=13/15 Click here to see answer by ptaylor(2048)

 Question 106536: Please help me solve this problem: (2/3x^2 + 1/5x + 1/6) + (1/2x^2 - 1/3x + 2/3) I realize the first step would be to combine the like terms and the next step would be to find the common denominators. However, after that, I'm lost. Click here to see answer by stanbon(57410)

 Question 106577: Solve and check equation for x. x/6 - x/8 = 1 This is what I have, but am not sure if I am on the right track. LCD=24 24 * x/6 - 24 * x/8 = 24 * 1 4x-3x = 24 x=24 Then to check, you input 24 in the place of x ? 24/6 - 24/8 = 1 6*4=24 - 8*3=24 24/24=1 24/24=1 True. Did I do this right, or did I mess it all up? Click here to see answer by Earlsdon(6287)
 Question 106577: Solve and check equation for x. x/6 - x/8 = 1 This is what I have, but am not sure if I am on the right track. LCD=24 24 * x/6 - 24 * x/8 = 24 * 1 4x-3x = 24 x=24 Then to check, you input 24 in the place of x ? 24/6 - 24/8 = 1 6*4=24 - 8*3=24 24/24=1 24/24=1 True. Did I do this right, or did I mess it all up? Click here to see answer by MathLover1(6641)
 Question 106577: Solve and check equation for x. x/6 - x/8 = 1 This is what I have, but am not sure if I am on the right track. LCD=24 24 * x/6 - 24 * x/8 = 24 * 1 4x-3x = 24 x=24 Then to check, you input 24 in the place of x ? 24/6 - 24/8 = 1 6*4=24 - 8*3=24 24/24=1 24/24=1 True. Did I do this right, or did I mess it all up? Click here to see answer by stanbon(57410)

 Question 106585: Did I do this right? Find the product (6m^4n^2-3m^6+m^2n^4)(m^3-4mn^2) Using the associative properties, I came up with 6m^7n^2-24m^4n^2mn^2-3m^9+12m^6mn^2+m^5n^4-m^2n^4*4mn^2 Click here to see answer by stanbon(57410)
 Question 106585: Did I do this right? Find the product (6m^4n^2-3m^6+m^2n^4)(m^3-4mn^2) Using the associative properties, I came up with 6m^7n^2-24m^4n^2mn^2-3m^9+12m^6mn^2+m^5n^4-m^2n^4*4mn^2 Click here to see answer by Earlsdon(6287)

 Question 106624: factor each of the foloowing polynomials 28x^2y^3 - 5x^2y^2 + 42x^3y I am absolutely lost, please help guide me. I know that the GCF is 7 and that is all that I understand. Click here to see answer by HyperBrain(694)

 Question 106675: can you help with this? use the remainder therom to evaluate P(x)=-4x^3+x^2-2x+7, for x=-2. I came up with 47, am i correct? thank you. Click here to see answer by edjones(7569)

 Question 106688: i am stumped as to how to solve this problem. using the rational zero theorem to find the possible zeros of: p(x)= 2x^3-5x^2+2x-9. thank you so much!! Click here to see answer by stanbon(57410)

 Question 106680: Can someone help me please? factor to find all the real zeros of 3x^3+7x^2-6x. Thank You. Click here to see answer by Earlsdon(6287)

 Question 106723: Transforming Formulas page 166, number 25 solve the given formula for the variable shown. state the restrictions, if any, for the formula obtained to be meaningful. a=180(n-2)all over n; solve for n the answer is; n=360 all over 180-a; a does not = 0 Click here to see answer by Earlsdon(6287)

 Question 106724: Please help me with the following problem. The division problems confuse me. (-16p^3+15p^2+10-5p+6p^4)/(1+3p) I have arranged the exponents so that they are in descending order, but after that, I'm lost. Click here to see answer by stanbon(57410)

 Question 106755: Please help me with this problem: Simplify the expression making sure the answer has no negative exponents: -5x^2yz^3 ---------- -5x^2yz the entire problem has an exponent of 5 In this particular instance, doesn't everything cancel out and the answer is z^2? Or, am I missing something? Click here to see answer by stanbon(57410)
 Question 106755: Please help me with this problem: Simplify the expression making sure the answer has no negative exponents: -5x^2yz^3 ---------- -5x^2yz the entire problem has an exponent of 5 In this particular instance, doesn't everything cancel out and the answer is z^2? Or, am I missing something? Click here to see answer by Earlsdon(6287)

 Question 106756: Please help me with this problem: Simplify the expression making sure the answer has no negative exponents: -5x^2yz^3 ---------- -5x^2yz the entire problem has an exponent of 5 In this particular instance, doesn't everything cancel out and the answer is z^2? Or, am I missing something? Click here to see answer by ankor@dixie-net.com(15661)

 Question 106776: The question in the book reads "A piece of wire 20 inches long is to be cut into two pieces, one of which will be bent into a circle and the other into a square. How long should each piece be to minimize the sum of the areas?". So one section of the wire could be represented as "x" and the other piece as "20-x". That's all I can come up with. Any help would be greatly appreciated!! Click here to see answer by scott8148(6628)
 Question 106776: The question in the book reads "A piece of wire 20 inches long is to be cut into two pieces, one of which will be bent into a circle and the other into a square. How long should each piece be to minimize the sum of the areas?". So one section of the wire could be represented as "x" and the other piece as "20-x". That's all I can come up with. Any help would be greatly appreciated!! Click here to see answer by TP(29)

 Question 106795: Solve the following polynomial. Enter your solutions as fractions, as needed. 12x^4 -8x^3=0 smaller value = larger value = Click here to see answer by scott8148(6628)

 Question 106826: Solve and check equation for x. x/x-2 - x+1/x = 8/x^2-2x This is what I have so far. The LCD is x(x-2) Multiplied through out, the equation becomes: x^2(x-2) - (x-2)(x+1) = 8 After this, I am lost. Can you please help? Click here to see answer by edjones(7569)

 Question 106926: indicate the product of x + y - d by xy. Click here to see answer by checkley75(3666)

 Question 107017: I need to know if this is correct. Factor completely x^2 + 9x + 8 = (x+1)(x+8) Click here to see answer by HyperBrain(694)

 Question 107052: the minute hand of a clock is 3 cm longer then the hour hand. if the distance between the tips of the hands at nine o'clock is 15 cm, how long is the minute hand (hint: draw a diagram) Click here to see answer by edjones(7569)

 Question 107072: I can't seem to figure out how to express f(x) in complete factored form. Here is the problem: express f(x) in complete factored form f(x)=x^3+6x^2+7x+42 Click here to see answer by Annabelle1(69)

 Question 107107: i am completely lost as to how to even start this problem. Can anyone help me? find the zeros of (2x-7)^2(x^2-9)and state the multiplicity of each. thanks so much!!!! Click here to see answer by MathLover1(6641)