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

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE) Get help from our free tutors ===> Algebra.Com stats: 2016 tutors, 420049 problems solved View all solved problems on Polynomials-and-rational-expressions -- maybe yours has been solved already! Become a registered tutor (FREE) to answer students' questions. Click here to see problems AND answers on one page Question 259120: Write the equation for the parabola with the given vertex and through the given point in vertex form... vertex (3,-2) and point (0,0) Click here to see answer by Fombitz(13828)   Question 259221: factor completely. if the polynomial is prime please state. I was able to factor but not sure if polynomial is prime 75x^2 – 3 3(25x^2 -1) Click here to see answer by Fombitz(13828)   Question 259458: Simplify (- 3 y2 z3)3 Click here to see answer by palanisamy(496)   Question 259458: Simplify (- 3 y2 z3)3 Click here to see answer by stanbon(57415)   Question 259476: Factor 9y2 – 12y + 4 Click here to see answer by checkley77(12569)   Question 259470: can you please help me with this question? find the area of each polygon. A=1/2b*h b= h= this is what i have tried: A=1/2b*h A=1/2** /2=?-x+12 Click here to see answer by Alan3354(30993)   Question 259480: Factor m3 + 27= Click here to see answer by qmaybe6(1)   Question 259490: (y-1)(y+1) Click here to see answer by checkley77(12569)   Question 259546: Subtract and Simplify x-4/x-6x-23/11x Click here to see answer by drk(1908)   Question 259546: Subtract and Simplify x-4/x-6x-23/11x Click here to see answer by richwmiller(9143)   Question 259515: i need to factor 8x^9 + 729y^3 and I seem to mess it up everytime I try to do this. Could you give me steps in which to take to solve this probem? Click here to see answer by Earlsdon(6288)   Question 259555: p+3/p= -4 Click here to see answer by edjones(7569)   Question 259641: Factor completely. If the polynomial is prime, state this. 6x2y2 + 19xy + 15 Click here to see answer by scott8148(6628)   Question 259596: What are the roots for this Polynomial Equation? X*3+6X*2+5X+30? Click here to see answer by unlockmath(1603)   Question 259646: Solve using the principle of zero products. (21 - 0.8x)(5 - 0.4x) = 0 Click here to see answer by unlockmath(1603)   Question 259593: Alright the question is (2b-1)^3 I got: 8b-1 but the answer is: 8b^3-12b^2+6b-1 How does that work? P.S ^3 and ^2 mean to the third power and second power. Click here to see answer by Fombitz(13828)   Question 259593: Alright the question is (2b-1)^3 I got: 8b-1 but the answer is: 8b^3-12b^2+6b-1 How does that work? P.S ^3 and ^2 mean to the third power and second power. Click here to see answer by Theo(3472)   Question 259745: divide the polynomial 1 divided by 2x4y^2 Click here to see answer by drk(1908)   Question 259762: Reduce to lowest terms. -2b^2 -6b -4/b^2 -1 Click here to see answer by CharlesG2(828)   Question 259594: Application Assignment #1 Polynomials 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. Part One 1. You are employed by Fences R Us, an aluminum fencing company that specializes in building fenced enclosures. Your job is to build these enclosures on your client’s properties. One client has purchased a certain length of fencing and wants to enclose the largest possible area in her yard. All gates are included in the fencing. a. Suppose that the client needs 100 feet of fencing. Choose several values for the width of the rectangle and determine the corresponding lengths and areas of the rectangle. Width (in feet) Length (in feet) Area (in sq. feet) 20’ 30’ 600sq ‘ 10’ 40’ 400sq’ 35’ 15’ 525sq’ 25’ 25’ 625sq’ What is the relationship between the length and width of rectangles with a perimeter of 100 feet? p=2 (l + w) So, the perimeter is 100 feet b. Determine whether there is a rectangle enclosed by 100 feet of fencing that has the following areas: • 400 square feet h x w=a 10*40=400 • 500 square feet h * w = a • 700 square feet c. Let c represent the length of a rectangle enclosed by 100 feet of fencing. Write an expression for the width of the rectangle in terms of c. d. Express the area A of a rectangle with perimeter 100 feet as a function of the length c of one of its sides. e. Simplify this function so that it reads as a quadratic equation. 2. If you were to sketch the graph of the function in 1e, where the x-axis is labeled as your length (in feet) and the y-axis is labeled as your area (in square feet), you will see that it has the shape of a parabola. • Use the graph to determine the dimensions of a rectangle with perimeter 100 feet and the following two areas: o 400 square feet & 500 square feet • Explain how 700 square feet is not a possible area in this situation. 3. Use the function in 1e to algebraically determine the length c of a rectangle with perimeter 100 feet. and the following areas: • 400 square feet • 500 square feet 4. Use the function in 1e to algebraically support the conclusion that 700 square feet is not a possible area in this situation. 5. What is the maximum value of the function in 1e? Explain how you arrived at this conclusion and what does the maximum value represent. 6. What is the corresponding length c of the rectangle? Explain how you arrived at this conclusion. 7. What is the most specific name for the rectangle with perimeter 100 feet and length c found in #6? Click here to see answer by Fombitz(13828)   Question 259594: Application Assignment #1 Polynomials 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. Part One 1. You are employed by Fences R Us, an aluminum fencing company that specializes in building fenced enclosures. Your job is to build these enclosures on your client’s properties. One client has purchased a certain length of fencing and wants to enclose the largest possible area in her yard. All gates are included in the fencing. a. Suppose that the client needs 100 feet of fencing. Choose several values for the width of the rectangle and determine the corresponding lengths and areas of the rectangle. Width (in feet) Length (in feet) Area (in sq. feet) 20’ 30’ 600sq ‘ 10’ 40’ 400sq’ 35’ 15’ 525sq’ 25’ 25’ 625sq’ What is the relationship between the length and width of rectangles with a perimeter of 100 feet? p=2 (l + w) So, the perimeter is 100 feet b. Determine whether there is a rectangle enclosed by 100 feet of fencing that has the following areas: • 400 square feet h x w=a 10*40=400 • 500 square feet h * w = a • 700 square feet c. Let c represent the length of a rectangle enclosed by 100 feet of fencing. Write an expression for the width of the rectangle in terms of c. d. Express the area A of a rectangle with perimeter 100 feet as a function of the length c of one of its sides. e. Simplify this function so that it reads as a quadratic equation. 2. If you were to sketch the graph of the function in 1e, where the x-axis is labeled as your length (in feet) and the y-axis is labeled as your area (in square feet), you will see that it has the shape of a parabola. • Use the graph to determine the dimensions of a rectangle with perimeter 100 feet and the following two areas: o 400 square feet & 500 square feet • Explain how 700 square feet is not a possible area in this situation. 3. Use the function in 1e to algebraically determine the length c of a rectangle with perimeter 100 feet. and the following areas: • 400 square feet • 500 square feet 4. Use the function in 1e to algebraically support the conclusion that 700 square feet is not a possible area in this situation. 5. What is the maximum value of the function in 1e? Explain how you arrived at this conclusion and what does the maximum value represent. 6. What is the corresponding length c of the rectangle? Explain how you arrived at this conclusion. 7. What is the most specific name for the rectangle with perimeter 100 feet and length c found in #6? Click here to see answer by richwmiller(9143)   Question 259808: This one has me stumped. I appreciate any help I can get. 225w^2 + 810wp + 729p^2 Thanks, Patrice Click here to see answer by Fombitz(13828)   Question 259796: 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. Click here to see answer by gaddiri(1)   Question 259838: what is -7x^5+15x^4-7x^2 divided by x^3-3x^2+1 i am having trouble dividing this polynomial .... thank you Click here to see answer by jim_thompson5910(28598)   Question 259848: 17/11=u/6 Can someone help me solve this and round it to the nearest tenth??? Thank you!!! Click here to see answer by drk(1908)   Question 259848: 17/11=u/6 Can someone help me solve this and round it to the nearest tenth??? Thank you!!! Click here to see answer by scott8148(6628)   Question 259855: John runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 18 minutes? Can someone help me solve ths? Click here to see answer by scott8148(6628)   Question 259907: how do you divide Click here to see answer by Alan3354(30993)   Question 259862: three times a number minus the sum of the number and seven Click here to see answer by ankor@dixie-net.com(15664)   Question 260002: Solve for 1. 5r-1(2r+8)=16 2. 4y-4+y+24=6y+20-4y Click here to see answer by checkley77(12569)   Question 260007: 8 2/3= rewrite the expression radical notation Click here to see answer by Edwin McCravy(8920)   Question 260007: 8 2/3= rewrite the expression radical notation Click here to see answer by richwmiller(9143)   Question 260035: how do i simplify 9y-18 over 2-y by simplifying factors of one? Click here to see answer by checkley77(12569)   Question 260122: The instructions say to Factor and Simplify and we haven't gone over anything this complicated in class.. I'm totally LOST! (6x-5)^3 (8) (2x+1)^7 (2) + (2x+1)^8 (3) (6x-5)^2 (6) I would REALLY appreciate somebody's help on this one. Click here to see answer by stanbon(57415)   Question 260178: Subtract 3-y/y-5 - 9y-7/5-y Click here to see answer by mananth(12270)   Question 260238: Multiplying Rational Numbers: 3/4 * 8/21 = Click here to see answer by edjones(7569)   Question 260239: Help with polynomials problem: (4m - 2) + (2m + 4) - (9m - 1) (-5m -6) + (8m -3) - (-5m + 3) (6y - 2) - (8y - 3) - (9y -2) (-5y -1) - (8y - 4) - (y + 3) Click here to see answer by Alan3354(30993)   Question 260239: Help with polynomials problem: (4m - 2) + (2m + 4) - (9m - 1) (-5m -6) + (8m -3) - (-5m + 3) (6y - 2) - (8y - 3) - (9y -2) (-5y -1) - (8y - 4) - (y + 3) Click here to see answer by drk(1908)   Question 260258: (y²-8)(6y²-9y+5) Click here to see answer by richwmiller(9143)   Question 260311: perform the indicated opration and simplify 2(x-1)+3(2+-3)-(4x-5) Click here to see answer by unlockmath(1603)   Question 260317: x^3+5x^2-2x+7 3x-8 _________________ Click here to see answer by stanbon(57415)   Question 260321: Perform the indicated operations and simplify 1. 2x-3{x+2[x-(x+5)]+1} 2. (m-n)(m+n) Click here to see answer by drk(1908)   Question 260325: Addition of Polynomials: (3x^2+x-12)+(2x+5-x^3+10x^2)= Click here to see answer by drk(1908)   Question 260329: How to factor Trinomials of the form ax^2+bx+c Click here to see answer by drk(1908)   Question 260180: add, simplify if possible 7/y-8 = 51/(y-8)^2 Click here to see answer by unlockmath(1603)

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3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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