Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 450379: which expression or value is a term in 12w to the 3rd power plus 8
Click here to see answer by rfer(12657)

Question 450448: what is the restricted value of x for the given rational expression 5x6^2/2x-3
Click here to see answer by stanbon(57327)

Question 450507: Could you please help me to solve this problem.The problem -If one zero of a polynomial (b^2+4)x^2+13x+4b is the reciprocal of the other,then find the value of b.I have sent this problem earlier but I didn't got the solution yet.
Click here to see answer by sudhanshu_kmr(1152)

Question 450544: 4z^2-16z+15
Click here to see answer by stanbon(57327)

Question 450590: How do I multiply to obtain an equivalent expression 7x/7x . x+2/x+8
Click here to see answer by rwm(914)

Question 450587: x squared minus x minus 6
divided by
x squared minus 4
we have the answer, but want to know why? thanks
Click here to see answer by rwm(914)

Question 450596: how do I multiply and simplify c3+8/c2-4 .c2-4c+4/c2-2c+4
Click here to see answer by rwm(914)

Question 450629: Please explain?
Give an example of a rational equation for which there is an actual solution and an extraneous solution if you solve the equation using cross products.
Click here to see answer by rwm(914)

Question 450870: Ok so this problem is about factoring.....
Wat is x^2 - 12x +36 factored
Click here to see answer by solver91311(16877)

Question 450899: How do u completely factor this......
4x^2+5x+1=0
Click here to see answer by jorel1380(2518)

Question 450893: Help me factor these plz......
5x^2+16x+3
Help me factor these completely..... plz....
4x^2+5x+1=0
(4x-8)^2=0
x^2-49=0
Click here to see answer by ankor@dixie-net.com(15649)

Question 450995: Hi~ Factor completely: y^4-1
thanks

Click here to see answer by algebrahouse.com(1079)

Question 451000: Divide and Simplify: (t-3)/(t+2)÷(4t-12)/(t+1)
Thanks
(can you show your work... so I can try and grasp the concept.)
Click here to see answer by solver15(27)

Question 451000: Divide and Simplify: (t-3)/(t+2)÷(4t-12)/(t+1)
Thanks
(can you show your work... so I can try and grasp the concept.)
Click here to see answer by algebrahouse.com(1079)

Question 451026: What Is The Property Illustrated Of 1/3+(-x)=-x+1/3

Click here to see answer by richard1234(5390)

Question 451050: I have been having problems trying to figure out how to solve some of these problems. Here it is... Solve by factoring the principle of zero products: 3x^2+8x=9+2x this one confused me because of the equal sign I think.
Please help... And Thank- you in advance

Click here to see answer by rwm(914)

Question 451023: What Is The Property Illustrated of 2k+(-2k)= 0

Click here to see answer by robertb(4012)

Question 451025: What Is The Property Illustrated Of -34.9+0=-34.9

Click here to see answer by robertb(4012)

Question 451173: Total profit=total revenue-total cost,
P(x)=r(x)-C(x)
Where x is the nyumber of units sold, find the maximum profit and the number of units that must be sold in order to yield the maximum profit for
R(x)=5x, C(x)=0.001x^2+1.2x+60
Click here to see answer by josmiceli(9671)

Question 451201: What is the remainder when (2x^3 – 3x^2 – 10x + 15) ÷ (x + 2) ?
Click here to see answer by ewatrrr(10682)

Question 451388: I am having trouble with solving rational equations! The problem is . I have tried numerous ways of doing this problem, but when I get towards the end the factoring starts to confuse me. If you could show me step by step how to do this, I would be super thankful. Thanks so much!!

Click here to see answer by scott8148(6628)

Question 451472: one pipe 2 feet in diameter takes 12 hours to fill a reservoir. The second pipe 3 feet in diameter takes 6 hours to fill the reservoir. How long would it take for both pipes working at the same time to fill the reservoir?
Click here to see answer by Edwin McCravy(8908)

Question 451467: n2-11n-60=
Click here to see answer by jorel1380(2518)

Question 451626: factor the trinomial 16x²-8x-3
Click here to see answer by ewatrrr(10682)

Question 451734: how do i divide x^4-2x+1 by x-2
Click here to see answer by stanbon(57327)

Question 451734: how do i divide x^4-2x+1 by x-2
Click here to see answer by pedjajov(51)

Question 451820: findall the real zeros of the function
f(x)=x^3-3x^2-x+3
Click here to see answer by stanbon(57327)

Question 451839: How do you solve this equation?
21x^2 - 6 = 15x ?
thannkkkks . (:
Click here to see answer by ewatrrr(10682)

Question 451946: FACTOR: ax+ay+2az+3x+3y+6z
Click here to see answer by robertb(4012)

Question 451973: For f(x) = 8x and h(x) = 4/ x-5
Find h(x) ÷ f(x)
Click here to see answer by Gogonati(809)

Question 452091: Polynomials
Retail companies must keep close track of their operations to maintain profitability. Often, the sales data of each individual product is analyzed separately, which can be used to help set pricing and other sales strategies.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. In this problem, we analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two points in the form (x,p).
A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
b. Substitute the result you found from part a. into the equation R = xp to find the revenue equation. Provide your answer in simplified form.
The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s cost for a set of tile is $6 each. Let x represent the number of tile sets.

c. If b represents a fixed cost, what value would represent b?
d. Find the cost equation for the tile. Write your answer in the form C = mx + b.
The profit made from the sale of tiles is found by subtracting the costs from the revenue.
e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation.

f. What is the profit made from selling 20 tile sets per month?
g. What is the profit made from selling 25 tile sets each month?
h. What is the profit made from selling no tile sets each month? Interpret your answer.
i. Use trial and error to find the quantity of tile sets per month that yields the highest profit.
j. How much profit would you earn from the number you found in part i?
k. What price would you sell the tile sets at to realize this profit? Hint: Use the demand equation from part a.
2. The break even values for a profit model are the values for which you earn $0 in profit. Use the equation you created in question one to solve P = 0, and find your break even values.
3. In 2002, Home Depot’s sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000.
a. Write Home Depot’s 2002 sales and 2006 sales in scientific notation.
You can find the percent of growth in Home Depot’s sales from 2002 to 2006 by following these steps:
• Find the increase in sales from 2002 to 2006.
• Find what percent that increase is of the 2002 sales.
b. What was the percent growth in Home Depot’s sales from 2002 to 2006? Do all your work by using scientific notation.
The Home Depot, Inc. (2007, March 29). 2006 Annual Report. Retrieved from http://www6.homedepot.com/annualreport/index.html
4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall (see figure). How long should the pieces of PVC plumbing pipe be?

Click here to see answer by solver91311(16877)

Question 452204: Need help with this algebra problem. So confused.
18x^3-18x^2-50x-20
___________________
6x+4
Divide.
Thanks!!
Click here to see answer by secretangel24(1)

Question 452204: Need help with this algebra problem. So confused.
18x^3-18x^2-50x-20
___________________
6x+4
Divide.
Thanks!!
Click here to see answer by MathLover1(6627)

Question 452136: Solve 2*15^2
(5+8)^3
Click here to see answer by edjones(7569)

Question 452333: Can you solve 3/x = (x+2)/5
Click here to see answer by oscargut(891)

Question 452343: I am supposed to solve this equation. x+3=-2/x (negative 2 over x). I know I am supposed to find the least common denominator. I tried multiplying both sides by x to get rid of the denominators, but I don't know if I'm doing it right. Thanks for your help!!!
Click here to see answer by ankor@dixie-net.com(15649)

Question 452345: I am supposed to solve this rational equation. x/x+1 + 5/x-1=1 (x over x+1 plus 5 over x-1 equals 1). I know i need to find the least common denominator. i think that is (x+1)(x-1). My biggest problem is knowing what to do with the numerator. Thanks and please help!
Click here to see answer by ankor@dixie-net.com(15649)

Question 452517: I don't understand this math problem. I am supposed to solve the equation...
3/r+4 - 1/r =1/r (3 over r+4 - 1 over r equals 1 over r). I'm confused on the way to solve it because you can't multiply r by anything to get r+4 (common denominator). Thanks for your help!
Click here to see answer by stanbon(57327)

Question 452516: I could really use help on this math problem. I am supposed to solve the equation b/4 + 1/b = -5/3 (b over 4 plus 1 over b equals -5 over 3). I can't tell what the common denominator would be, since they're all different. If you could please help me, I would really appreciate it. Thanks!!!
Click here to see answer by stanbon(57327)

Question 452775: I don't understand to factor this out (4h-16)/(h^2-16) i put it in the calc but i dont understand how it factors out h-4 . I factor out 4 from the top and ^2 from the bottom but i get the wrong answer
please help
thanks,
wildcworkz
Click here to see answer by jim_thompson5910(28593)

Question 452815: write an equation of a circle with the given center and radius. check answers
2) (-4,-6), 7
4) (-6,10), 1
6) (-5,-1), 6

Click here to see answer by richard1234(5390)

Question 452947: I need to completely factor the trinomial x^2+2x-35.
I've tried to figure it out myself and every time I get a different answer. Then I tried a solver and it said it couldn't be factored and that's not even one of the choices in my homework. It asks for an answer or whether the polynomial is prime. I'm so confused. Can someone help?
Click here to see answer by jim_thompson5910(28593)

Question 452949: One root of the polynomial equation 0=x^3-4x^2+9x-10 is 1-2i. Find an additional root.
A.-2+i B.-1-2i C.2+i D.1+2i
Click here to see answer by robertb(4012)

Question 452984: The total cost(in dollars) for a company to manufacture and sell x items per week is C=60x+300, where as the revenue brought in selling all x items is R=100x-0.5x^2 . How many items must be sold to obtain a weekly profit of $300?

Click here to see answer by josmiceli(9671)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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