# 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 408919: (x^ 4 - 81) / (x - 3) Click here to see answer by ewatrrr(10682)

 Question 408932: Solve by factoring and show all work. x^2-9x=-8 Click here to see answer by nerdybill(7008)

 Question 408933: I really am needing some help with this please. Solve and show all work. 51p=2p^2+72 Click here to see answer by MathLover1(6812)

 Question 408934: I am looking for some hep on this algebra problem for my child please. Please show work: The Connecticut River flows at a rate of 4km/h for the length of a popular senic route. In order for a cruiser to travel 60 km upriver and then return in a total of 8 hr, how fast must the boat be able to travel in still water? Click here to see answer by nerdybill(7008)

 Question 408991: Please is there someone who can help? Give the quadric function f(x)=16x^2-64x+64, find a value for x such that f(x)=16 Click here to see answer by rfer(12730)

 Question 408997: I am needing some help please. My son needs help with this one. Use a polynomial long division to divide and show work 25x^3+40x^2+25x+10 by -5x^2-3x-2 Click here to see answer by jsmallt9(3296)

 Question 408990: I am needing some help on this for my kids homework. I am sure it is easy for some, but I was never good in math anyway. Thank you. multiply and show all work: -5x+4 by 4x^2+x Click here to see answer by rfer(12730)

 Question 408877: (20x^4-3x^3=11x^2-7x+12)÷(4x-3) Write your answer in the form Q(x)+(R(x))/(4x-3) , where Q(x) is the quotient and R(x) is the remainder of the division. My answer shows this (20x^4-3x^3+11x^2-7x+12)/(4x-3)= this is blank + ?/4x-3 Click here to see answer by jsmallt9(3296)

 Question 408988: I am needing some help on this for my kids homework. I am sure it is easy for some, but I was never good in math anyway. Thank you. Subtract and show all work: (-4-2x^5+9x^7-8x^6)-(x^6+4x^5+4+3x^7) Click here to see answer by Alan3354(31529)

 Question 409102: 5 over b divided by 15 over c. Click here to see answer by rfer(12730)

 Question 409101: simplify each expression.Show any factoring and canceling. 48 over 72 Click here to see answer by rfer(12730)

 Question 409158: hi, I am solving by quadraic formula -b sqrt (b2-4ac)/(2a) x^2+2x=168 x^2+2x-168=168-168 x^2+2x-168=0 -2 +- sqrt (2^2-4(1)(-168)/(2(1)) -2 +- sqrt (4-672)/(2) -2 +- sqrt (668)/(2) This is where I am lost. It's not a perfect square, so what do I do now? I choose factors. -2 +- sqrt ((4(167))/(2) -2 +- 2 sqrt (167)/(2) common denominator of 2 -1 sqrt(167)/(2) Would you help me understand where I went wrong and how to do it right? Click here to see answer by solver91311(17077)

 Question 409176: Translate the sum of four times a number and the product of the number and seven into a variable expression and then simplify. *How is the problem worked out? Click here to see answer by Jeef Gorrdon(26)

 Question 409171: velocity in feet per second = v which is = to square root 64 d which is distance. What is the velocity of an object that has fallen a distance of 9 ft. *How is the problem worked? Click here to see answer by Jeef Gorrdon(26)

 Question 409178: Finding the break-even point. Selling price per unit=\$150 (P). Cost to make a unit is \$42 (C). The fixed cost is \$39,420 (F). Px=Cx+F *How is the problem worked out? Click here to see answer by Jeef Gorrdon(26)

 Question 409215: Show that when the polynomial P(x)=ax^3+bx^2+cx+d is evaluated using synthetic division when x=k, the result is P(k)=ak^3+bk^2+ck+d. Click here to see answer by richard1234(5390)

 Question 409229: Hi, I am solving by the quadradic formula -b sqrt (b^2-4ac)/(2a) Would you show me how to finish this? 18x^2-39x+20=0 x = -39 sqrt (39)^2-4(18)(20)/(2(18)) x = -39 sqrt (1521 - 1440)/(36) x = -39 sqrt (81)/(36) x = (-39 - 9)/(36) lost here, what do I do? Click here to see answer by Edwin McCravy(8999)

 Question 409257: Hi, I am solving with the quadraic formula and would like you to check my work and answer please. 3n^2-2n+5=0 -2 sqrt ((-2)^2-4(3)(5))/(2(3)) -2 sqrt (4-60)/(2) -2 sqrt (60)/(2) -2 sqrt ((4)(15))/(2) -2 +- 2 sqrt (15)/(2) is this final answer? Click here to see answer by jim_thompson5910(28715)

 Question 409186: the difference of two positive numbers is 5 and the sum of their squares is 233. what are their numbers. i belive i am spoose to use substition but i'm not sure how, thanks Click here to see answer by jsmallt9(3296)

 Question 409319: Would you help me figure out this problem? I seem to mess up on signs. This is not coming out to be a perfect square, so I must have done somthing wrong. Solving by quadratic formula -b sqrt (b^2-4ac)/(2a) (3n-1)^2+2=18 (3n-1)^2+2-18-18 (3n-1)^2-18=0 3n^2+1+2-18=0 3n^2-(-15)=0 Did not see a b, so b is 1, right? -1 sqrt ((1^2-4(3)(-15))/(2(3)) -1 sqrt sqrt (1-(-180)/(6) -1 sqrt 181 I do not know what to do here, would you show me? Click here to see answer by richard1234(5390)

 Question 409382: 2x^8 – x^3 + 4x^2 + 5) – (8x^7 + 8x^3 – 4x) This what I have so far: 2x^8 - 8x^7 - x^3 - 8x^3 + 4x^2 + 4x + 5 2x^8 - 8x^7 - 9x^3 + 4x^2 + 4x + 5 Click here to see answer by ewatrrr(10682)

 Question 409401: does (x^2-y^2)(x^2+y^2) express a completely factored form for x^4-y^4? Click here to see answer by MathLover1(6812)

 Question 409452: Given the quadratic function f(x) = x^2 – 6x + 9, find a value of x such that f(x) = 25. This is what I have: x^2 - 6x + 9 = 25 x^2 - 6x - 16 = 0 x^2 - 8x + 2x -16 = 0 x(x-8) + 2(x-8) = 0 (x-8)(x+2) = 0 x = 8 Click here to see answer by ewatrrr(10682)
 Question 409452: Given the quadratic function f(x) = x^2 – 6x + 9, find a value of x such that f(x) = 25. This is what I have: x^2 - 6x + 9 = 25 x^2 - 6x - 16 = 0 x^2 - 8x + 2x -16 = 0 x(x-8) + 2(x-8) = 0 (x-8)(x+2) = 0 x = 8 Click here to see answer by solver91311(17077)

 Question 409459: I am trying to figure out how to solve polynomial equations and my instructor is not very good at explaining things so that I understand them. Can someone explain to me how to solve polynomial equations. Example: (4x+9)(15x^2-7x-2)=0 I don't understand algebra at all, and I'm lacking the help from my instructor. Click here to see answer by ewatrrr(10682)
 Question 409459: I am trying to figure out how to solve polynomial equations and my instructor is not very good at explaining things so that I understand them. Can someone explain to me how to solve polynomial equations. Example: (4x+9)(15x^2-7x-2)=0 I don't understand algebra at all, and I'm lacking the help from my instructor. Click here to see answer by Alan3354(31529)

 Question 409454: Factor the expression completely: x^3(x-3)^2 (x-1) - 2x^2(x-3)^2 Click here to see answer by jsmallt9(3296)

 Question 409458: How do I solve the polynomial equation: (x+2)(x-7)=-18 Click here to see answer by ewatrrr(10682)

 Question 409504: What is the substition method for 18x+6y=78, 12x+54y=-48? Click here to see answer by MathLover1(6812)
 Question 409504: What is the substition method for 18x+6y=78, 12x+54y=-48? Click here to see answer by stanbon(57967)

 Question 409413: In solving the equation (x + 2)(x – 2) = 32, Eric stated that the solution would be x + 2 = 32 => x = 30 or (x – 2) = 32 => x = 34 However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning. Click here to see answer by jsmallt9(3296)

 Question 409394: how many solutions are possible for any second-degree polynomial equation? Click here to see answer by jsmallt9(3296)

 Question 409399: how many solutions(real number or otherwise) do you anticipate for x^3-2x^2-x+2=0 Click here to see answer by jsmallt9(3296)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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