# 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 47765: need help. Find the mean and the median. -2, -7/4, 3/4, 9, 4 Click here to see answer by stanbon(57377)

 Question 47793: The problem is: -3a^2(5ab-3b+7a) I am not sure between two answers, which are: -15a^3b+9a^2b-21a^3 or -36a^3+6a^2b Also can you please tell me if these are correct answers: (3x-12)(x-1)= 3x^2-15x+12 (8x+y)(8x-y)= 64x^2-y (3x-12)^2= 9y^2-72y+144 Thank you so much for the help!!! Click here to see answer by stanbon(57377)

 Question 47801: Can you please tell me if the answer to this question that I got is correct? (-10xy^3z^2)^3= x^3y^9z^6/1000, just to clarify, x to the third, y to the ninth, z to the sixth over 1000 Thank you so much for the help!!! Click here to see answer by consc198(59)

 Question 47992: Can someone please help me with this problem: 4a^3+4a^2-3a-3, I need to factor by grouping. I f someone can please show me how to work this problem out I would really appreciate it. Thank you so much in advance! Click here to see answer by checkley71(8403)

 Question 47994: Can someone please help me with working out this problem: 8x^2-10x+3 I can not figure it out with there being no common factor. I need to factor the problem completely. Thank you in advance! Click here to see answer by checkley71(8403)

 Question 47995: Can someone please help me with the work for this problem: 6x^2-11x-10 I need to factor it completely and I am having trouble without a common factor. Thank you so much in advance! Click here to see answer by checkley71(8403)

 Question 48028: simplify the following algebraic expression (4y)^7 _____________ (4y)^3 Click here to see answer by jainenderkapoor(61)

 Question 48029: simplify the following algebraic expression (2x^5)^3 _____________ (-3x^4)^3 Click here to see answer by jainenderkapoor(61)

 Question 48027: simplify the following algebraic expression 36 ^1/2 _____________ 15^2 Click here to see answer by tutorcecilia(2152)

 Question 48030: simplify the following algebraic expression 7(x^4)^5 _____________ (-4x^2)^2 Click here to see answer by stanbon(57377)

 Question 48067: the degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and + 4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients. f(x) =(x^2-8x+16)*(x+3) i think that equation satisfies the conditions given. Click here to see answer by stanbon(57377)

 Question 48080: Can somebody please help me with figuring out how to write an complete factored form of a polynomial with the given hints? Can I have the "coomplete factored form" and the "factored out form" so that I may atleast understand how it works? it should have a zero at -5 with an odd multiplicity zero at -2 witn an even multplicity zero at 1 with an even multiplcity zero at 3 with an odd multiplicity with y-intercept at 1 with an absolute exterma at -4.5 with local exterma at -.5, 2.5 What I got: (-x-5)((x+5)^2)(x-1)^2)(x-3) I didn't put in equation format but what I have does not match the picture they provide of what it should look like. Can somebody help me with figuring out what constants I need to meet those the absolute and local extermas? Thank you! Click here to see answer by stanbon(57377)

 Question 48086: how do you simplify the expression 3/8p^2q + 5/4p^2q Click here to see answer by Nate(3500)

 Question 48160: Need help to solve: Urie has a board that is 98 inches long. He wants to cut the board into two pieces so that one piece is ten inches longer than the other. What should the length of each piece be? Click here to see answer by tutorcecilia(2152)

 Question 48159: Need help in solving: Roses garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224m squared. find the length of the other base. Click here to see answer by tutorcecilia(2152)

 Question 48157: How to solve: A = 1/2h(Bb) Solve for "b" Click here to see answer by tutorcecilia(2152)

 Question 48136: how do u simplify(2a to the 5th power b to the 3rd power) (7a to the 3rd power b to the 4th power)?? Click here to see answer by tutorcecilia(2152)

 Question 48183: Melanie can paint a certain barn by herself in x days . Her helper Maleissa can paint the same barn by her self in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together . Evaluate the expression for x=5. Click here to see answer by stanbon(57377)

 Question 48184: Help I cant solve these equations word problems too: Smith bicycled 45 miles going east from Durango and jones bicycled 70 miles. jones averaged 5 milesper hour more that smith and his trip took one/half hour longer than smiths. how fast was each one traveling? Click here to see answer by Paul(988)

 Question 48283: How do I factor this polynomial .... c to the 3rd power + 125 Thanks for your help! Click here to see answer by longjonsilver(2297)

 Question 48414: Please im asking for some help with the following promblems. You guys have really helped me over summer.Thank you'll for your dedication to helping others. 1)What is f(3) if f(x) = -5x3 + 6x2 - x - 4? a. -74 b. -88 c. 74 d. 182 2)What is f(x + 1) if f(x) = 6x3 - 3x2 + 4x - 9? a. 6x3 + 12x2 + 4x + 2 b. 6x3 + 3x2 + 8x + 6 c. 6x3 + 21x2 + 20x + 4 d. 6x3 + 15x2 + 16x - 2 3)What is 3[f(x + 2)] if f(x) = x3 + 2x2 - 4? a. x3 + 8x2 + 20x + 12 b. 3x3 + 12x2 + 18x + 6 c. 3x3 + 24x2 + 60x + 36 d. 3x3 + 18x2 + 24x + 60 4)Use synthetic division to determine which of the following is a factor of x3 - 3x2 - 10x + 24. a. x - 2 b. x - 3 c. x + 4 d. x + 8 5)Use synthetic division to determine which of the following is a factor of 2x3 - 13x2 + 17x + 12. a. x - 2 b. x - 3 c. x + 4 d. x + 6 6)What is the remainder when (6x3 + 9x2 - 6x + 2) ÷ (x + 2)? a. -4 b. 0 c. 2 d. 74 7)What is the remainder when (x3 - x2 - 5x - 3) ÷ (x + 1)? a. -8 b. 0 c. 2 d. 4 8)What are the factors of x3 + 2x2 - x - 2? a. (x - 1)(x + 1)(x - 2) b. (x - 2)(x + 2)(x - 1) c. (x - 2)(x + 2)(x + 1) d. (x - 1)(x + 1)(x + 2) Click here to see answer by Nate(3500)

 Question 48097: if f(x)=x(x+1)(x-4), use iterval notation to give all values of x where f(x)>0 i come up with (-1,4) am i missing something ? thank you. Click here to see answer by cowess(34)

 Question 48026: simplify the following algebraic expression 3x^3 y^4 z^-2 _____________ 6x^-1 y^3 z^-3 Click here to see answer by bbbluebabybb(1)