# 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 113774: find all real and imaginary roots x^4+3x^3+x^2+4=0 Click here to see answer by stanbon(57224)
 Question 113774: find all real and imaginary roots x^4+3x^3+x^2+4=0 Click here to see answer by Edwin McCravy(8880)

 Question 113735: Multiply. (a - 3)(a - 7) Click here to see answer by checkley71(8403)

 Question 113732: Find the values of each of the following polynomials for the given values of the variable. 3x^2 + 7, x = 3 and x= -3 Click here to see answer by checkley71(8403)

 Question 113773: find the remainder if p(x)=2x^3-5x^2+9x-3 is divided by x-1 Click here to see answer by jim_thompson5910(28476)

 Question 113769: use synthetic division to find the quotient and remainder (x^4-3x^3+2x-8)/(x-3) Click here to see answer by jim_thompson5910(28476)

 Question 113733: Find each of the following squares. (7p + 6q)^2 Click here to see answer by jim_thompson5910(28476)

 Question 113768: find the horizontal and verticle asymptotes for the function t(x)= x-1/x^2-1 Click here to see answer by stanbon(57224)

 Question 113799: 4.a. Use Descartes' Rule of Signs to determine the number of possible positive zeros and the number of possible negative zeros of 12x4 — 67x3 + 108x2 — 47x + 6. Click here to see answer by jim_thompson5910(28476)

 Question 113801: . List all possible rational roots of f (x) = 12x4 — 67x3 + 108x2 — 47x + 6. Click here to see answer by jim_thompson5910(28476)

 Question 113803: Divide f (x) = 12x4 — 67x3 + 108x2 — 47x + 6 by p(x) = x — 2, to f ind the quotient. Use the remainder theorem to confirm you results Click here to see answer by jim_thompson5910(28476)

 Question 113804: Find all the zeros of f (x) = 12x4 — 67x3 + 108x2 — 47x + 6 Click here to see answer by jim_thompson5910(28476)

 Question 113820: 5. Determine the behavior of Domain : x – intercept(s) : Hole(s) : y – intercept : Vertical Asymptote(s) : Horizontal Asymptote : Click here to see answer by jim_thompson5910(28476)

 Question 113821: 6. Determine the behavior of Domain : x – intercept(s) : Hole(s) : y – intercept : Vertical Asymptote(s) : Oblique Asymptote : Click here to see answer by jim_thompson5910(28476)

 Question 113822: 7. Graph and it's inverse on the same set of coordinate axes. Label all units, intercepts, and asymptotes. Determine the domain and range of each function. Click here to see answer by jim_thompson5910(28476)

 Question 113823: 8. Solve and Check the Following Equations: A. 2^(x^2+x) = 64 Click here to see answer by jim_thompson5910(28476)

 Question 113826: 8. Solve and Check the Following Equations: C. log6 x + log6 (x – 2) = log6 15 Click here to see answer by jim_thompson5910(28476)

 Question 113827: 9. Evaluate the following: a. log1/2 4 b. 1og8 64 c. log32 8 d. 1og3 81 e. pi^(log_pi 2pi) Click here to see answer by jim_thompson5910(28476)

 Question 113829: 10. Solve the following system both by graphing and then check result algebraically. y = 8 2y = x^2 Click here to see answer by jim_thompson5910(28476)

 Question 113930: Is it possible for a cubic polynomial function to have no real zeros? Please mention any properties of polynomials in the explanation. Thank you, Lucy Click here to see answer by jim_thompson5910(28476)

 Question 113943: I have one more question I need help with. I need to prove that the polynomial P(x)=x^3-3x^2-5 must have complex roots without using a graph and explain what rule can be used. I answered Descartes rule but my instructor is asking me to explain what this shows and what conclusion I can draw knowing number of roots for a cubic. This section has been a little tough for me. Any help would be much appreciated. Thank you, Lucy Click here to see answer by jim_thompson5910(28476)

 Question 113991: directions: write an equation in point-slpoe form for the line through the given point with the given slope. these are the three problems i need help with: #1 (-2,7);m=2 #2 (-5,-9);m=-3.5 #3 (4,0):m=7 p.s. do you mind showing me step by step because i get really confused Click here to see answer by jim_thompson5910(28476)

 Question 114074: Simplify: (3x^2-13x+4) / (6x^2+x-1) Click here to see answer by jim_thompson5910(28476)

 Question 114097: MAY I PLEASE SEE THE STEPS FOR SOLVING THIS SUBTRACTION PROBLEM 4X/(y^2z^3) - 7/(y^4z^4) Click here to see answer by edjones(7569)

 Question 114095: Please help me solve these problems> I am confused. PLEAS HELP ME!!!! 1)Find the product of (x2 - 3x + 5) with the quotient of (18x6 - 27x5 - 9x3) ÷ 9x3. 2)What is the area in square feet of a room that is (2x - 1) feet wide and (7x + 3) feet long? 3)A rectangular box is (4x + 3) feet wide, (5x - 2) feet long, and (3x + 2) feet high. Find the volume of this box. Click here to see answer by jayanthihemkos@yahoo.com(87)

 Question 114197: Factor completely. m^3 – 9m^2n + 18n^2m Click here to see answer by jim_thompson5910(28476)

 Question 114198: Factor completely. x^2 – 4 Click here to see answer by jim_thompson5910(28476)

 Question 114196: Divide. Write the answer in scientific notation. 8.5*10^-7 ____________ 9.5*10^-4 * indicates multiply Click here to see answer by stanbon(57224)

 Question 114208: Factor the polynomial. 4s + 6st - 14st squared Click here to see answer by jim_thompson5910(28476)

 Question 114213: Factor the trinomial completely. 2a to the 3rd power - 52a squared b + 96ab squared Click here to see answer by jim_thompson5910(28476)

 Question 114180: (p^5)^2 ___________ p^2 Click here to see answer by MathLover1(6618)

 Question 114212: Factor the trinomail completely. x squared - 11x - 60 Click here to see answer by solver91311(16868)

 Question 114228: Is the trinomial a perfect square? if it is, factor the trinomial. x squared - 24x + 48 Click here to see answer by stanbon(57224)

 Question 114234: Find a value for k so that 9m squared - kn squared will have the factors 3m + 7n and 3m - 7n Click here to see answer by stanbon(57224)
 Question 114234: Find a value for k so that 9m squared - kn squared will have the factors 3m + 7n and 3m - 7n Click here to see answer by solver91311(16868)

 Question 114230: Factor the trinomial. 16x squared + 40xy + 25y squared Click here to see answer by stanbon(57224)

 Question 114263: Please help me I have tried to figure this problem out but I just don't know what I'm doing. PLEASE HELP ME!!! This the question that I am having trouble with. A rectangular box is (4x+3) feet wide, (5x-2) feet long and (3x+2) feet high. Find the volume of this box. Click here to see answer by MathLover1(6618)

 Question 114261: Please help me with this problem, it would be so appreciated. This algebra is confusing me. PLEASE HELP ME!!! What is the area in square feet of a room that is (2x-1) feet wide and (7x+3)feet long? Click here to see answer by stanbon(57224)
 Question 114261: Please help me with this problem, it would be so appreciated. This algebra is confusing me. PLEASE HELP ME!!! What is the area in square feet of a room that is (2x-1) feet wide and (7x+3)feet long? Click here to see answer by solver91311(16868)

 Question 114259: I need help with these two problems that I just don't understand. This is very confusing. PLEASE HELP ME!!! 1)(3x-2)^2 2) (2x^3-9x^2+11x-3)/(2x-3) Click here to see answer by stanbon(57224)

 Question 114249: Rewrite the middle term as the sum of two terms and then factor completely. 12w squared + 19w + 4 Click here to see answer by stanbon(57224)
 Question 114249: Rewrite the middle term as the sum of two terms and then factor completely. 12w squared + 19w + 4 Click here to see answer by Fombitz(13828)

 Question 114176: Simplify. (a^3)^6 Click here to see answer by bucky(2189)

 Question 114306: use synthetic division to find the quotient and remainder (x^3+4x^2+x-2)/(x+1) Click here to see answer by stanbon(57224)

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