# 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 101398: The following are from the Compass sample test. Algebra Placement Linear equations 15.What is the slope of the line with the equation 2x+3y+6=0 Please explain how to get to the answer of -2/3 16. Point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB? Please explain how to get to the answer of (8,1) Click here to see answer by doukungfoo(195)

 Question 101511: Can someone please help me factor this problem completely? x^10y^3 - 4x^9y^2 - 21x^8y????? Here is what I have as my attempt, but am not sure I am even correct with what I have.. Simplify: x^10y^3 - 36xy^2 - 168xy x^10y^3 - 72xy - 168xy Combine like terms: 72xy + 168xy = 240xy 240xy* x^10*y^3=? This problem was given to me by my college Professor, but it is not from our textbook. Thanks. Below are additional directions from Professor: **Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime. Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).** Click here to see answer by bucky(2189)

 Question 101585: I have tried this using our book and I just don't udestand the process. My teacher is of no help, she just keeps pointing me to our book. Factor each polynomial completely. a) x^3y+2x^2y^2+xy^3 b) -4w^3-16w^2+20w c) 3x^2 – 17x + 10 Thank you so much for any help you can provide me with. :) d) -36a^2b + 21ab^2 – 3b^3 Click here to see answer by ptaylor(2048)

 Question 101639: A) Factor each polynomial completely, given that the binomial following it is a factor of the polynomial. X^3 + 2x^2 – 5x – 6, x+3 B) Factor each difference or sum of cubes. U^3 – 125v^3 C) Factor each polynomial completely. If a polynomial is prime, say so. 1) 32a^2 + 4a -6 2) 9bn^3 + 15bn^2 – 14bn Any help would be greatly appreciated. I need to figure these out so I can finish my project. Thank you so much. Step by step explanations would be even better, so I can learn how to do this on my own. Click here to see answer by stanbon(57282)

 Question 101217: Do the operations and simplify: 2x 2x x ____________ plus _________ minus ________ x^2 - 3x + 2 x-1 x- 2 Click here to see answer by stanbon(57282)

 Question 101686: Factor the polynomial completely. If the polynomial cannot be factored, choose prime 7x^2 - 9x - 10 Click here to see answer by scott8148(6628)

 Question 101666: I tried every way imaginable to solve this problem but have had no luck. Please help! Factor completely. 9x^2 + 12xy + 4y^2 - 25 The 25 is what is throwing me off. There are no like terms from the 25 to go with the other parts of the expression. Please explain! Thanks! Click here to see answer by scott8148(6628)

 Question 101892: Find a value for k so that 9m^2-kn^2 will have the factors 3m+7n and 3m-7n. I;m confused with the question. ANy help would be appreciated. Click here to see answer by edjones(7569)

 Question 101885: HELP ME PLEASE I DO NOT UNDERSTAND HOW TO SOLVE THIS Solve for t. Click here to see answer by edjones(7569)

 Question 101903: Factor the polynomial completely. If the polynomial cannot be factored, choose prime 7x^2 - 9x - 10 Click here to see answer by checkley75(3666)

 Question 101890: How do you write an equation for the relation in the chart ?? x -2 0 2 4 y 9 5 1 -3 Click here to see answer by scott8148(6628)

 Question 101863: How do you find all values of k so that can be factored using integers. Click here to see answer by scott8148(6628)

 Question 102023: kindly help me with these problems. please answer these and show the solutions. thank you 1. x/77x-121y - y/49x-77y 2. a/6a-9b - b/4a-6b Click here to see answer by stanbon(57282)

 Question 102122: How do you find all values of k so that can be factored using integers? Click here to see answer by Fombitz(13828)

 Question 102071: For 5x – 2y = 4, find y given x = 2. Match your result to the correct answer below. Click here to see answer by Kalmetam(43)

 Question 102144: How do i solve this system of equation ? Click here to see answer by stanbon(57282)

 Question 102110: find the x-intercepts y = x^2 + x - 6 Click here to see answer by jim_thompson5910(28536)

 Question 102194: Explain how to find the vertex of a parabola. What is the significance of the vertex? Click here to see answer by stanbon(57282)

 Question 102208: Factor the polynomial completely. If the polynomial cannot be factored, choose prime. x^2 - x - 6 Click here to see answer by checkley75(3666)