# 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 149831: 1. Explain why a^2 + b^2 cannot be factored. 2. Find a value for k that will make 4x^2 + 6.4x + k a perfect square. Describe the procedure that was used that was not trial and error. Click here to see answer by stanbon(57214)

 Question 149853: Pleas help me solve the follwing problem: (2x^2) (3x^0) (x) (2x) = ? Click here to see answer by nerdybill(6948)

 Question 149875: Factor by grouping: 3cd  6cy + 2xd  4xy which one of these is it? 1. (3c + 2x)(d + 2y) 2.(d  y)(3c + 4x) 3. (3c + 2x)(d  2y) 4.prime Click here to see answer by nerdybill(6948)

 Question 149876: Factor by grouping: 3cd  6cy + 2xd  4xy which one of these is it? 1. (3c + 2x)(d + 2y) 2.(d  y)(3c + 4x) 3. (3c + 2x)(d  2y) 4.prime Click here to see answer by nerdybill(6948)

 Question 149879: Factor: x^2 + 13x + 42 What is one of the factors? (x + 6) , (x  7) , (x  6) or prime Click here to see answer by nerdybill(6948)

 Question 150029: f(x)=x^3+6x^2-25x+18 Find all the zeros of the given polynomial. can anyone help me solve this, I am new to this type of question. Jessica Click here to see answer by Fombitz(13828)

 Question 150030: can anyone help me solve for the quotient and remainder when 3x^3-12x^2-6x-20 is divided by x-5 Thank you! Click here to see answer by stanbon(57214)

 Question 150074: 4(x-2)=0 how do u work this problem out Click here to see answer by Alan3354(30955)

 Question 150101: Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8Tē = лēL. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing? Click here to see answer by nerdybill(6948)

 Question 150140: I need help with this problem im not sure on how to solve this given its story problem setting, any help is appreciated. If the total cost of x apples is b cents, what is a general formula for the cost, in cents, of y apples? Click here to see answer by scott8148(6628)

 Question 150231: Can you help me solve this problem? Add. (3r^4-2r^3+2r^2+10r-4)+(r^5+9r^3+5r^2-2r-2)+(-6r^4+r^2-6r-9) I would really appreciate an explanation on how to solve this problem. Thank you so much for your help once again. Click here to see answer by jim_thompson5910(28476)

 Question 150260: If A varies directly with the square of the length L and inversely with the parameter p, write an equation that expresses this relationship. Click here to see answer by jojo14344(1512)

 Question 150221: I am not quite sure the name of this kind of problem because I am still new at this, but if someone could help me I would really appreciate it. This is the problem. It states: Multiply (7x+4)(7x^2+5x+4) I get confused when it comes down to the steps and I would really appreciate the help. Thank you so much. Click here to see answer by Fombitz(13828)

 Question 150392: how do you simplify: (5x^3-3x^2-6) (2x^3-6x^2) i really need your help because im not sure if i can combine the different bases or powers. im really confused because i thought you could but a friend said that i couldnt so i dont know. Click here to see answer by jim_thompson5910(28476)

 Question 150375: 1. Consider the polynomial f(x)= x^3 + 6x^2 9x-14 Find all of the zeros of the given polynomial. Test all possibilities. 2. If y varies inversely as x and y = 0.6 when x = 10, find y when x = 12. Click here to see answer by stanbon(57214)

 Question 150374: 1. Marika is a salesperson who must decide between two monthly income options: Option 1: Salary of \$1412 per month, plus 10% of monthly sales or Option 1: Salary of \$2000 per month, plus 6% of monthly sales What must the monthly sales amount be so that Option 1 is a better choice for Marika than Option 2? Show a correct inequality and solve it. 2. Solve (x + 5)(x  4)(x  7) <= 0 and write the solution set in interval notation. Show all work Click here to see answer by stanbon(57214)

 Question 150411: Please help me solve this problem! Let f (x) = 7/5-x A. State the domain B. State the vertical asymptote(s) C. State the horizontal asymptote d. Find the inverse function of f. Click here to see answer by jim_thompson5910(28476)
 Question 150411: Please help me solve this problem! Let f (x) = 7/5-x A. State the domain B. State the vertical asymptote(s) C. State the horizontal asymptote d. Find the inverse function of f. Click here to see answer by stanbon(57214)

 Question 150433: Please help solve. If the sides of a square are lengthened by 7cm, the area becomes 121 cm^2. Find the length of a side of the original square. The length of a side of the original square is ___________cm. Click here to see answer by jojo14344(1512)

 Question 150450: Simplify the polynomial 15^2 + 4x- 5x + 5x^2+ 9 Click here to see answer by jim_thompson5910(28476)

 Question 150461: How does the value of the variable a affect the direction of the parabola opens? I think this is the right answer but I'm not sure. If the value is negative, it opens downward. If the value is positive, it opens upward. Or does it have no affect? ________________________________________________________________________________ Also... How does the value of variable a affect the width of the parabola? I think this is the answer but I don't know. The value does not affect the width of the parabola Or is it The closer or further to the 0 the more wider/narrow it gets? Click here to see answer by Fombitz(13828)

 Question 150465: I haven't been able to figure out the answer. How do I solve the following problem: x^2 + 3x + 1 Click here to see answer by jim_thompson5910(28476)