# 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 54069: Please help me with this problem: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients. Click here to see answer by stanbon(57384)

 Question 54076: Write expression in simplest form.(the ^ shows that the following number is a power: 4r^2 = 4r squared) 4r^2-25s^2 / 2r^2+3rs-20s^2 Click here to see answer by funmath(2925)

 Question 54088: Section 3.4 Just need to know if I did this right. 62. (m^2-5mn+3n^2)(m^2+4mn-2n^2) my answer is m^4+1m^3n-17m^2n^2+22mn^3-6n^4 Click here to see answer by funmath(2925)

 Question 54096: I need help learning the steps to this problem. For the following polynomial find f(t-2) ((( f(x)=-x^2+4x=6 ))) Click here to see answer by stanbon(57384)

 Question 54095: I need help learning the steps to this problem. Completely factor the polynomial ((( x^3-2x^2-5x+6 ))) given that x-1 is a factor Click here to see answer by stanbon(57384)

 Question 53846: Hi guys! Some of you may already know me as aaaaaaaa, and I'm asking a question: Solve the equation: j and c are in N (natural numbers). I know that , but the question is: Is there a way to solve this without trial-and-error and find out that g=50, c=7? Click here to see answer by AnlytcPhil(1277)

 Question 54070: Please help me with this problem: The figure shows the graph of the polynomial function y=f(x). For which of the values k = 0, 1, 2, or 3 will the equation f(x) = k have complex roots? Click here to see answer by jake_6233(74)

 Question 54139: I received these problems from my instructor which I can't find in the text: 1.) 2/(3x) + 3/(2x) = 2.) 1/(x + 1) + 1/(x-1) = 3.) x/2 + 2/x = Can someone help me with these? I've even tried using the equation calculator but tt comes up with a syntax error. I haven't had math in a while so any explanations of the rule will be helpful as well. Thanks Click here to see answer by funmath(2925)

 Question 54288: I can't seem to find this anywhere in the textbook... I need to find out how to factor of these polynomials...please help! x^2 - 5x - 6 x^2 - x - 20 Click here to see answer by stanbon(57384)

 Question 54263: i need help solving this equation for y: 5{-7[6y+9(7-y)-5]+y} = 6(y + 9) i tried doing the opposite of order of operations. i've tried distubuting everything. if u could help me, i would appreciate it a lot. thank you. :) -Guadalupe Click here to see answer by stanbon(57384)

 Question 54304: m=2(x+n) so far i did this: m=2(x+n) m=2x+2n -2n -2n --------- m-2n=2x ---- --- 2 2 m???= x can you divide 2n by 2? Click here to see answer by jainenderkapoor(61)

 Question 54286: 2 divided by 2/X + 2/Y is problem one...i have an answer guide so i know the answer i just don't know how to do it on my own 2x^2/3y * y^3/8x is problem two... this too i have the answer to but i don't know how to do it myself Click here to see answer by jainenderkapoor(61)

 Question 52996: given that (3x-a)(x-2)(x-7)= 3x^3-32^2+18x-70 determine the value of a Click here to see answer by venugopalramana(3286)

 Question 54397: HELP!! Write the expression in simplest form: 4r^2-25s^2 over 2r^2+3rs-20s^2 Thank you so much!! Click here to see answer by Nate(3500)
 Question 54397: HELP!! Write the expression in simplest form: 4r^2-25s^2 over 2r^2+3rs-20s^2 Thank you so much!! Click here to see answer by funmath(2925)

 Question 54457: I need help please. if x=yz,find the value for x given that y=2 and z=5. Click here to see answer by tutorcecilia(2152)

 Question 54472: PLEASE HELP ME WITH THIS PROBLEM: Find the polynominal f(X) of degree three that has zeroes at 1, 2, and 4 such that f(0)=-16. Click here to see answer by Edwin McCravy(8909)

 Question 54509: three quarters of a number is 21. find the number Click here to see answer by rchill(405)
 Question 54509: three quarters of a number is 21. find the number Click here to see answer by josmiceli(9697)

 Question 54530: I didn't see another section for trinomials and factoring. I am having problems please help. Find the GCF, in which I know is 6 but I don't know what to do with the letters. pg. 353 #14. 12a^3b^2,18a^2b^3,6a^4b^4 Click here to see answer by stanbon(57384)

 Question 54480: Can someone help me subtract this rational expression??? PLEASE!! 5a-12 over a^2-8a+15 - 3a-2 over a^2-8a+15 so far I have 5a-12-3a+2 over a^2-8a+15......now I am stuck! Help!! Thank you so much! ac Click here to see answer by wgomero(28)

 Question 54588: 27.r=ab/a+b (solve for a) 29.C=K(Rr/R-r) solve for R Click here to see answer by funmath(2925)

 Question 54595: How do I find "all real zeros" of the function? f(x) = x^3-3x^2-x+3 Click here to see answer by psbhowmick(529)

 Question 54672: pg. 374 no. 70. -3s^2-10s+8 I can't get my signs to be correct in order for the 10 to be negative. What am I doing wrong? Click here to see answer by Edwin McCravy(8909)

 Question 54676: pg. 403 no. 32 9x^2+12xy+4y^2-25. I know I should group the terms and find the GCF. I got 3 for first set of terms but the second term I got lost. Click here to see answer by stanbon(57384)

 Question 54671: Pg. 365 # 66. Find all positive values for k for which each of the following can be factored. x^2+x-k I don't have an clue or an example within the book to even try. Click here to see answer by stanbon(57384)

 Question 54717: I can't get my answer to come out to 3/4 please show me what I am doing wrong. 9(8x-1)=5(4x+6) 72x+9=20x+30 52x+9=30 52x=21 x=21/52 Thank you for any help. Click here to see answer by stanbon(57384)

 Question 54721: Sorry I submitted this question wrong the last time. One little mistake makes all the difference. 3/x^2+4x+3 - 1/x^2-9 Sorry for the mistake! I appreciate your help! ac Click here to see answer by wgomero(28)

 Question 54759: Determine the value/s of the variable where the expression is undefined : -16 / j-3 Solve by factoring : x^2+3x+2 Factor Completely: 3x^3-3x^2-6x Click here to see answer by funmath(2925)

 Question 54811: Find the axis of symmetry. y = x^2 – x + 10 I am unsure of how to start this problem Click here to see answer by stanbon(57384)