# 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 101902: Factor the polynomial completely. If the polynomial cannot be factored, choose prime x^2 - x - 6 Click here to see answer by edjones(7569)

 Question 102391: Factor the polynomial completely. If the polynomial cannot be factored, choose prime 7x^2 - 9x - 10 Click here to see answer by jim_thompson5910(28504)

 Question 102446: What is a polynomial containing two terms that can be factored a second time after factoring out the GCF. This means that the two-term polynomial, after factoring out the GCF, can be factored furter. Explain how you constructed this polynomial. Thank You Click here to see answer by stanbon(57246)

 Question 102392: Factor out the greatest common factor from the polynomial 21x^3 - 6x^2 + 15x Click here to see answer by JP(22)

 Question 102185: I cannot find If y varies directly as x, and x is halved, how is y changed? Click here to see answer by scott8148(6628)

 Question 102528: Find the following product. (x - 9)(x - 8) Click here to see answer by jim_thompson5910(28504)

 Question 102607: Perform the indicated operations. (2x^6 - 8x^3)+(8x^6 + 3x^3 - 8) Click here to see answer by jim_thompson5910(28504)

 Question 102608: Find the product 8x^2(-4x^2 + 3x - 6) Click here to see answer by edjones(7569)

 Question 102615: The demand and supply equations for a certain item are given by Now find the equilibrium price. Could someone please help me i am lost? Click here to see answer by jim_thompson5910(28504)

 Question 102636: 11. Which of the ordered pairs (3, 1), (0, –4), (–4, 0), (–3, –7) are solutions for the equation x – y = 4? A) (0, –4), (–4, 0), and (–3, –7) B) (–4, 0) and (–3, –7) C) (0, –4) and (–3, –7) D) (3, 1) and (–4, 0) Click here to see answer by jim_thompson5910(28504)

 Question 102653: Divide: x2 – 3x + 2 ÷ x2 – 1 7x – 14 7x + 7 Click here to see answer by jim_thompson5910(28504)

 Question 102676: 15)A pen cost y dollars,how much will 25 such pens cost?_________________. 16)Divide n dollars among 11 people. How much will each get?_________________. Click here to see answer by edjones(7569)

 Question 102781: Can Somebody please help me simplify this rational expression? I am at such a loss, I am not even sure how to begin to solve/ simplify. 12 – 3x^2 Note there should be a line between the upper and lower terms. x^2 – x – 2 I an ever so Grateful to anyone who can simplify this and show me how. Thank You! Click here to see answer by stanbon(57246)

 Question 102853: A certain real-estate agent receives \$6 for every &100 of a houses selling price. How much was the house sold for if the agent receives \$10,725? Click here to see answer by edjones(7569)

 Question 102988: How do I solve this equation? (2-x)^5? Thank you. katie Click here to see answer by scott8148(6628)

 Question 102786: Everytime I try to solve this problem, nothing comes out the same and I can't seem to figure out where my mistake is to determine if any of my solutions are correct. Can someone please show me the correct way to solve this problem? . Divide: x2 – 3x + 2 / x2 – 1 7x – 14 / 7x + 7 NOTE: there should be a line between the upper and lower terms on each side of the division symbol. Click here to see answer by ankor@dixie-net.com(15638)

 Question 102977: The graph of the polynomial function f(x)- Ax^3+Bx^2+Cx+D, where and A,B,C,and D are integers, has 3 x-intercepts at 1,2,and -6. If the graph passes thought the point M(3,18), determine the values of A,B,C and D. Click here to see answer by Fombitz(13828)

 Question 103074: Form a polynomial whose zeros and degree are given. Zeros: -1, 1, - 9; degree 3 Click here to see answer by stanbon(57246)

 Question 103077: For the given functions f and g, find the requested function and state its domain. f(x) = 16 - x2; g(x) = 4 - x Find f + g. Thank you for your help. Click here to see answer by stanbon(57246)

 Question 103042: Solve the polynomial equation by factoring and then using the zero product principle 2x to the 4th power = 128x Click here to see answer by srinivas(5)

 Question 103172: Think of a real-life situation that can be translated to a polynomial function and solve the problem. Click here to see answer by ankor@dixie-net.com(15638)

 Question 102526: Find the following product. 8x^2(-4x^2 + 3x - 6) Click here to see answer by edjones(7569)

 Question 103176: The area of a rectangle is 40 in.2. If the length is x+4in. and the width is x-2., what are the dimensions of the rectangle? Click here to see answer by checkley75(3666)

 Question 103171: Is it possible to generalize a condition for creating any two binomials whose sum is a monomial, and two biniomials whose sum is a trinomial? I'm not sure what this question is asking. Can you point me in the right direction. Click here to see answer by edjones(7569)

 Question 103220: Please help! Add and use simplest form. (4y / y^2+6y+5) + (2y / y^2-1) I cannot figure out the LCD. The first expression breaks down to (y+5) and (y+1) and the second expression breaks down to (y-1) and (y+1). After that, I am lost. Please help! Thanks so much! Click here to see answer by edjones(7569)

 Question 103219: Please help! Subtract and write in simplest form. (3 / x^2+4x+3) - (1 / x^2-9) I just can't seem to figure out the LCD. If the first expression breaks down to (x+3)and (x+1) and the second expression breaks down to (x-3) and (x+3), I tried to get the LCD from (x-3)(x+3) and (x+1) but then there would be no middle term. Please help! Thanks so much! Click here to see answer by edjones(7569)

 Question 103234: I'm suppose to solve this problem by using synthetic division and the factor theorem. I already solved all of my homework problems, but this is the only one I cant figure out because of the fractions. Please help!! Tanks!! Solve: Click here to see answer by edjones(7569)

 Question 103318: I need help with this problem. This is how I solved it but I don't know if it is right. A woman casts a 4 ft-shadow. At the same time, a 72-ft building casts a 48 ft-shadow. How tall is the woman? 72 / 48 = x / 4 48x = 72(4) 48x = 288 x = 6 Would the woman be 6-ft tall? Thank you for your help! Click here to see answer by stanbon(57246)