# 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 636183: Hi. I was wondering if someone could check to see if this is right or not. Multiply (-2m)^2 (3m^9 )^2 I came up with (-6m^9)^4. I ave a feeling I am wrong. Am I? If I am, could you explain how to get to the right answer? I really appreciate it. Thanks Click here to see answer by Alan3354(31519)

 Question 636213: x2-49/2x-1 x2-14x+49/1-2x x2-49 should be the numerator and the 2x-1 is the denominator. x2-14x+49 is the numerator and the 1-2x is the denominator. Find the domain of each of the rational expressions. (Identify which values of x will make the denominator zero and thus are not allowed in the domain.) Divide your first rational expression by the second one. Write the answer in lowest terms. Find and state the common denominator between the two expressions. Build up each expression so that it has the common denominator. (Remember not to do any canceling at this point since you need those extra factors for the common denominator.) Add the two rational expressions together. Factor again if possible, and present the answer in lowest terms. Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): Domain Lowest terms Opposites LCD Build up thank you for any help you can give. I tried this but I dont seem to get it. Click here to see answer by stanbon(57967)

 Question 636214: 1.Solve problem 56 on page 437 of Elementary and Intermediate Algebra. Set up the two ratios and write your equation choosing an appropriate variable for the bear population. #56. Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population? Click here to see answer by solver91311(17077)

 Question 636244: Show all steps in solving the problem and explain what you are doing as you go along.Please explain what you are doing and how you got the answer. Also please make sure you use the terms below in the description while doing the problem. y-1 = -3 x+3 4 the numerator is y-1 divided by denomenator x+3 which both equals -3/4. 1. What form of an equation do you end up with in problem 10? What do you notice about the coefficient of x compared to the original problem? Do you think there might be another way to solve this equation for y than with the proportion method? How would you do it? 2. An incorporation of the following four math vocabulary words into your paper. Use bold font to emphasize the words in your writing. (Do not write definitions for the words; use them appropriately in sentences describing your math work.): 1. Extraneous 2. Proportion 3. Cross multiply 4. Extreme-means Thank you for any help you can give with this problem Click here to see answer by solver91311(17077)

 Question 636304: I need some help with this problem please. THnak you. Divide and simplify (11z-77)/9÷(z-7)/15z Click here to see answer by Edwin McCravy(8999)

 Question 636316: Im not sure how im suppose to get the answer for this equation. It says, Solve for X if X is a positive number. x^2 + x = 6 Click here to see answer by ewatrrr(10682)

 Question 636325: I have about 7 questions for my finals out of 66 could anyone please help me. Questions: 1) Evaluate the polynomial for x=-3 3x^2-3x+6 when x=____? When x=-3, 3x^2-3x+6=______? (Simplify) 2) Find the following. square root of 16 at the top of the tip of the little line √(-7)^16 (Simplify) 3) Divide. (20b^3+7b^2+22b+27)÷ (4b+3) Choose the correct answer below a) 5b^2+2b+7 b) 5b^2-2b-7-6/4b+3 c) 5b^2-2b+7+6/4b+3 d) 5b+7 4) Add. (2x^2-9xy+y^2) + (-6x^2-6xy-y^2) + (x^2+xy-4y^2) The answer is________? 5) Simplify by removing factors of 1 m^2-49 ______ = (m+7)2 The simplified form is _____? "its supposed to look m^2-49 over (m+7)2 =" 6) For the following equation, state the value of the discriminant and then describe the nature of the solutions. 6x^2-5x+1=0 What is the value of the discriminant? Which one of the statements below is correct? a) The equation has one real solution b) The equation has two imaginary solutions c) The equation has two real solutions 7) Find all numbers for which the rational expression is undefined The numbers for which the rational expression is undefined are____? (Use a comma to separate answers) t^3-3t ______ It should look like t^3-3t over t^2-9 t^2-9 Click here to see answer by solver91311(17077)
 Question 636325: I have about 7 questions for my finals out of 66 could anyone please help me. Questions: 1) Evaluate the polynomial for x=-3 3x^2-3x+6 when x=____? When x=-3, 3x^2-3x+6=______? (Simplify) 2) Find the following. square root of 16 at the top of the tip of the little line √(-7)^16 (Simplify) 3) Divide. (20b^3+7b^2+22b+27)÷ (4b+3) Choose the correct answer below a) 5b^2+2b+7 b) 5b^2-2b-7-6/4b+3 c) 5b^2-2b+7+6/4b+3 d) 5b+7 4) Add. (2x^2-9xy+y^2) + (-6x^2-6xy-y^2) + (x^2+xy-4y^2) The answer is________? 5) Simplify by removing factors of 1 m^2-49 ______ = (m+7)2 The simplified form is _____? "its supposed to look m^2-49 over (m+7)2 =" 6) For the following equation, state the value of the discriminant and then describe the nature of the solutions. 6x^2-5x+1=0 What is the value of the discriminant? Which one of the statements below is correct? a) The equation has one real solution b) The equation has two imaginary solutions c) The equation has two real solutions 7) Find all numbers for which the rational expression is undefined The numbers for which the rational expression is undefined are____? (Use a comma to separate answers) t^3-3t ______ It should look like t^3-3t over t^2-9 t^2-9 Click here to see answer by ewatrrr(10682)

 Question 636333: Essay; show all work. Consider that the age, x, of a unicorn in human equivalent years can be given by the formula f(x) = - 0.001518x4 + 0.067326x3 – 1.4367x2 + 12.46x + 2.914. When a unicorn is 2.5 years old, what is its age in human equivalent years? What about when it is 12 years old? Click here to see answer by solver91311(17077)

 Question 636332: Essay; show all work. Bob’s Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 7x3 – 9x2 – 2x + 4. The shop estimates their costs for that quarter to be given by x2 + 7x – 5. For the second quarter, find and simplify a polynomial that will represent their profit. Note: Profit = Revenue - Costs Click here to see answer by solver91311(17077)

 Question 636345: If a pro basketball player has a verical leap of about 25 inches. What is the hang time? Use the hang time function V=48T^2 His hang time is _______ seconds. (round to the nearest tenth) Click here to see answer by reviewermath(604)
 Question 636345: If a pro basketball player has a verical leap of about 25 inches. What is the hang time? Use the hang time function V=48T^2 His hang time is _______ seconds. (round to the nearest tenth) Click here to see answer by solver91311(17077)

 Question 636353: I need help solving the following equation. solve for x. 4x(x-1)-5x(x)=3 Click here to see answer by sachi(463)

 Question 636329: Short Answer. Find the difference: (6x3 + 8x2 + 9) – (-x2 – 8x – 8) Click here to see answer by sachi(463)

 Question 636330: Essay; show all work. Find the product: (1/7x^2-2/5)(1/2x-1/2) Click here to see answer by Maths68(1474)

 Question 636371: Assume that you have the same interest rate. Which amount takes longer to double - \$1, \$100, or \$1,000,000. Click here to see answer by solver91311(17077)

 Question 636556: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. f(x) = -x2 - 2x - 6 Click here to see answer by MathLover1(6812)

 Question 636566: Hi, I need some help figuring this out please. Subtract. Simplify if possible. Thanks (4-z)/(z-6)-(4z-7)/(6-z) Click here to see answer by unlockmath(1614)

 Question 636554: Find the zeros of the polynomial function. f(x) = x3 + x2 - 42x Click here to see answer by ewatrrr(10682)

 Question 636553: Find the degree of the polynomial function. g(x) = -7x3 + 9 Click here to see answer by MathLover1(6812)

 Question 636602: I would like to know how to solve this equation,(5/a-5)-1=(a/a-5). Thanks to any help thats given. Click here to see answer by lwsshak3(6761)

 Question 636628: Hello! I need help with factoring 6x^4+17x^2+12 trinomial I know this is a trinomial and what I tried to do is 6*12=72 8*9=72 8+9=17 So I replaced numbers in the equation (6x^4+9x^2)+(8x^2+12) factored 3x^2(2x^2+3) 4(2x^2+3) So I got (3x^2+4)(2x^2+3) But when I check my answer it says the answer should be (3+2x^2)(4+3x^2). I don't know where I'm going wrong. I hope this is the right section, it's my first time trying this site. Thanks! -Reubs Click here to see answer by nerdybill(7003)
 Question 636628: Hello! I need help with factoring 6x^4+17x^2+12 trinomial I know this is a trinomial and what I tried to do is 6*12=72 8*9=72 8+9=17 So I replaced numbers in the equation (6x^4+9x^2)+(8x^2+12) factored 3x^2(2x^2+3) 4(2x^2+3) So I got (3x^2+4)(2x^2+3) But when I check my answer it says the answer should be (3+2x^2)(4+3x^2). I don't know where I'm going wrong. I hope this is the right section, it's my first time trying this site. Thanks! -Reubs Click here to see answer by PkGeci(6)

 Question 636659: Hi, I'm having trouble factoring polynomials including quadratics. I found an answer for almost all of them, until I got to one question with powers higher than to the second, or squared. Here's the problem: 9m(cubed)-7m(to the fourth power)+8m(squared) Click here to see answer by stanbon(57967)

 Question 636667: Show all work. Find the quotient: (y^4 +3y -1)/(y^2 -3) Click here to see answer by Edwin McCravy(8999)

 Question 636668: Show all work. Find the quotient: (16a^2 -b^2)/(4a -b) Click here to see answer by DrBeeee(393)

 Question 636772: Find the 3rd degree polynomial function with real coefficients that has given zeros: 7 and 3i. Click here to see answer by ewatrrr(10682)

 Question 636801: 3x^2-5x-2 im havin a hard time reducin it to the lowest term im lookin for a number thats multiplied by six but can and or subtract to five. i got (x+1)(3x+2)not sure when to put my +/- sign Click here to see answer by ewatrrr(10682)

 Question 636800: How do you factor x^2-x+30? I've tried almost everything to factor that expression but i either get x^2-x-30 or x^2+x-30 by trying (x-6)(x+5)and (-x+5)(-x-6) Click here to see answer by ewatrrr(10682)