# 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 583096: How do I factor this by grouping ? Thank you. Click here to see answer by Earlsdon(6287)
 Question 583096: How do I factor this by grouping ? Thank you. Click here to see answer by JBarnum(2044)

 Question 583158: Essay: Show all work. Find the following product: (y-1)^2 Click here to see answer by solver91311(16885)

 Question 583183: i have to simplify 2+i/ 1-3i and im lost Click here to see answer by solver91311(16885)

 Question 583198: Question: Use the Rational Zeros Theorem to find all the real zeros of the polynomial function . Use the zeros to factor f over the real numbers. I know the possible factors of the constant are 1, 2, 4, 8, -1, -2, -4, -8. But using the remainder theorem, none of them are actually possible factors (none of those factors have a remainder of 0). But when I graph it on a graphing calculator, there are zeros (x-intercepts). So I'm a little confused here. Thank you. Click here to see answer by scott8148(6628)
 Question 583198: Question: Use the Rational Zeros Theorem to find all the real zeros of the polynomial function . Use the zeros to factor f over the real numbers. I know the possible factors of the constant are 1, 2, 4, 8, -1, -2, -4, -8. But using the remainder theorem, none of them are actually possible factors (none of those factors have a remainder of 0). But when I graph it on a graphing calculator, there are zeros (x-intercepts). So I'm a little confused here. Thank you. Click here to see answer by lwsshak3(6505)

 Question 583251: I don't know how to face a^3-4a^2-21a, I know tha ac method won't work should I start out by factoring out the a, so it will say a(a^2-4a-21) Click here to see answer by Alan3354(30993)

 Question 583247: How to find the end behavior of this function? x(2-x)(x+3)^2 would it be: as x approaches positive or negative infinity, y approaches negative infinity? Click here to see answer by solver91311(16885)
 Question 583247: How to find the end behavior of this function? x(2-x)(x+3)^2 would it be: as x approaches positive or negative infinity, y approaches negative infinity? Click here to see answer by lwsshak3(6505)

 Question 583126: Essay: Show all work. A gardener wants to create a rectangular garden with length of -9x + 8y ft. and width of 2x + 5y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include units. Click here to see answer by richard1234(5390)

 Question 583469: Can you please solve this for me and also explain how you solved it? List all numbers for which the rational expression is undefined: y+10, over 4y^2+3y-1 Click here to see answer by ankor@dixie-net.com(15652)

 Question 583689: Can you please help me solve this? I am supposed to solve and state whether the binomial is a factor of the polynomial. I used synthetic division to drop the coefficients and got: 2] 16 -32 0 0 -81 162 0 32 0 0 0 -162 _______________________ 16 0 0 0 0 -81 0 (The zeroes in the top row are because there are no x-cubed and x-squared variables, therefore they're respresented by a zero, right?) Multiple choice allowed me the answers of: A - 1348; no B - 0; yes C - 700; yes D - 0; no I am pretty sure the answer is C because my remainder is zero, and x-2 is a factor of the original equation. If this is not right, can you please show me what I've done wrong? (Also, I apologize if the synthetic division does not line up properly when submitted and if it makes it harder for you to read.) Click here to see answer by richwmiller(9137)
 Question 583689: Can you please help me solve this? I am supposed to solve and state whether the binomial is a factor of the polynomial. I used synthetic division to drop the coefficients and got: 2] 16 -32 0 0 -81 162 0 32 0 0 0 -162 _______________________ 16 0 0 0 0 -81 0 (The zeroes in the top row are because there are no x-cubed and x-squared variables, therefore they're respresented by a zero, right?) Multiple choice allowed me the answers of: A - 1348; no B - 0; yes C - 700; yes D - 0; no I am pretty sure the answer is C because my remainder is zero, and x-2 is a factor of the original equation. If this is not right, can you please show me what I've done wrong? (Also, I apologize if the synthetic division does not line up properly when submitted and if it makes it harder for you to read.) Click here to see answer by solver91311(16885)
 Question 583689: Can you please help me solve this? I am supposed to solve and state whether the binomial is a factor of the polynomial. I used synthetic division to drop the coefficients and got: 2] 16 -32 0 0 -81 162 0 32 0 0 0 -162 _______________________ 16 0 0 0 0 -81 0 (The zeroes in the top row are because there are no x-cubed and x-squared variables, therefore they're respresented by a zero, right?) Multiple choice allowed me the answers of: A - 1348; no B - 0; yes C - 700; yes D - 0; no I am pretty sure the answer is C because my remainder is zero, and x-2 is a factor of the original equation. If this is not right, can you please show me what I've done wrong? (Also, I apologize if the synthetic division does not line up properly when submitted and if it makes it harder for you to read.) Click here to see answer by Edwin McCravy(8909)

 Question 583759: Can someone help me solve this please? multiply (4t^2 + 2t - 1)/(2t - 1) Click here to see answer by jim_thompson5910(28595)

 Question 583780: x^6=117649 I have 7 and -7, but I know there are a total of 6 answers. Click here to see answer by Alan3354(30993)

 Question 584014: How do I simplify this (-4x raised the 6power)(7x raised to the 12th power) Click here to see answer by stanbon(57352)

 Question 584023: How do I simplify this 2^2 x^6 y^-5 / 2^4 x^-3 y^-11 Can you please show me how to do it...thanks so much Click here to see answer by stanbon(57352)

 Question 584060: Is this equation correct: (x y)^3 = x y^3 ? Explain why. If it is correct, how can you prove this? If it is incorrect, what should be done to make it right Click here to see answer by solver91311(16885)

 Question 584091: I really need help with a few problems. I scanned the problems and uploaded the picture. Here's the link: http://i31.photobucket.com/albums/c386/pokaslop3000/AlgebraHomework.jpg I would really appreciate some help! Click here to see answer by richwmiller(9137)

 Question 584336: Divide and check, (x^2 + 2x - 15)/(x + 5) My answer was, x^2 + 2x - 15/x + 5 x^2 + x^2 + 2x - 15 + 5 x + 2x - 15 + 5 2 - 15 + 5 I am supposed to do polynomial long division or factor it and I am stuck would appreciate any help Click here to see answer by richwmiller(9137)

 Question 584486: Can you help me factor each of the following quadratics if possible.' A) x(to the second power)+3x-10. C)x (to the sencond power) +3x+10 D) x(to the second power)-10x+24 Click here to see answer by ianhq(1)

 Question 584498: A sidewalk of uniform width surrounds a rectangular building. How wide is the sidewalk if the building is ten feet longer than wide; if the outside perimeter of the sidewalk is 192 feet, and if the area of the sidewalk is 704 square feet? Please make it a trinomial. I know the answer is 4, just not how to get there algebraically. Click here to see answer by scott8148(6628)

 Question 584533: what is the GCF of 18 and 49 Click here to see answer by dfrazzetto(277)

 Question 584914: Multiply and simplify the following: 4 squared 4 x 4 squared -5 Click here to see answer by jim_thompson5910(28595)

 Question 584915: How many real and complex roots does the plynomial f(x)=x^3+9x have? Click here to see answer by jim_thompson5910(28595)

 Question 584776: If the area of a rectangle is 100m^2 - 49y^2 square meters and the length is 10m +7y meters, what is an expression for the width? Help please!!! Click here to see answer by scott8148(6628)

 Question 585091: For r(x) = 10x^2-19x-5 find all values of r(a)=-11. My problem with this is i cannot factorize it. I have gotten to this point: r(a)=10a^2-19a-5 10a^2-19a-5-11 10a^2-19a+6=0. When i multiply 10*-5 i get - 50, i cannot find factors in that for -19 I also tried 10*6. The factors i get -15+-4. But when i work the equation and get the answers and plug them into the first problem it does not equal to -11. Please help me. Thank you Click here to see answer by richwmiller(9137)

 Question 585148: 1) Find the product of (x^2 - 3x + 2) with the quotient of (6x6 - 9x5 - 3x3) ÷ 3x3. Click here to see answer by ankor@dixie-net.com(15652)

 Question 585241: Simplify. Assume that no denominator is 0 and that 0^0 is not considered. (a^3b)(ab)^4 Click here to see answer by sofiyac(695)

 Question 585333: These questions that are on Factoring Polynomials: ax squared plus bx plus c. 1.negative 6x squared minus x plus 2 2.negative ten x spuared plus 11x plus 6 Click here to see answer by Theo(3464)

 Question 585271: Essay: Show all work. The area of a rectangular swimming pool is given by 2x^2 – 5x – 3 ft^2. One side length of the pool is given by 2x + 1 feet. What is an algebraic expression for the other side length of the pool? Simplify this, and include correct units as part of your answer. Any and all help is greatly appreciated .. thanks Click here to see answer by ankor@dixie-net.com(15652)