# 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 464573: Multiply and simplify. 7b^5/3q^2*9q^7/49b The simplified product is ______. Click here to see answer by MathLover1(6638)

 Question 464595: Solve for x correct to four decimal places: Click here to see answer by stanbon(57387)

 Question 464643: Find the LCM of 21a^2b^6, 3a^4b^8, 14a^5b^8 Thank you Click here to see answer by MathLover1(6638)
 Question 464643: Find the LCM of 21a^2b^6, 3a^4b^8, 14a^5b^8 Thank you Click here to see answer by Edwin McCravy(8909)

 Question 464584: Find all values of k so each trinomial can be factored using integers. x to the second power +kx+10 Click here to see answer by Alan3354(30993)

 Question 464625: Find the LCM of (8+5p), (64-25p^2), and (8-5p) Click here to see answer by robertb(4012)

 Question 464703: Hat sizes are determined by measuring the circumference of one's head in inches or centimeters. Use ratio and proportion to complete the table. hat size: 7, ? Head Circumference(to nearest 1/5in): 22, ? Head Cir (to nearest centimeter): 56, 54 Click here to see answer by stanbon(57387)

 Question 464718: find the least common multiple of (8+3p), (64-9p^2), and (8-3p) Click here to see answer by algebrahouse.com(1079)

 Question 464715: add, simplify if possible 5/st^2 + 8/s^2 t these are 2 fractions and ^ means it is raising to that power Click here to see answer by robertb(4012)

 Question 464880: Sorry if I have the topic wrong! What is it called when there is something like this: x squared-9 over x+2 then all that over x-3 over x-2 I've looked at polynomial long division, but can't find where there are 2 equations over 2 other equations. thank you! kari Click here to see answer by stanbon(57387)

 Question 464884: Find all numbers for which the rational expression is undefined. 1/7y+6 Click here to see answer by algebrahouse.com(1079)

 Question 464996: Solve using the substitution method 0.3x + 0.2y = 5, 0.5x + 0.4y = 11 Click here to see answer by jorel1380(2518)

 Question 465048: explain how to evaluate a polynomial for a given value of the variable. I need an example also Click here to see answer by solver91311(16897)

 Question 465070: Hello Math Tutors, Here is a question: "Use the FOIL method to find the product: (6x^3-5)(x^8-1) Click here to see answer by josmiceli(9697)

 Question 465133: Solve using the elimination method 2x – y = 8 4x – 2y = 16 Click here to see answer by algebrahouse.com(1079)

 Question 465239: What are the roots of the polynomial ? 3x^4 + 6x^3 -2x^2 +9x -36 = 0 Click here to see answer by Ryan O(12)

 Question 465252: please help me solve these 3 equations use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 that is number 1 and number 2 is f(x)=x^2-2x+5 and number 3 f(x)=x^2+4x-5 please and thank you Click here to see answer by ewatrrr(10682)

 Question 465227: Hello, can anyone help me with this problem? Find the variation constant and the equation of variation where y varies directly as x and y = 36 when x = 9. Click here to see answer by ewatrrr(10682)

 Question 465293: 4/2x+1 - 2/x-2 = 1/2x+1 Solve rational equation Click here to see answer by ewatrrr(10682)

 Question 465407: What is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) ? Click here to see answer by solver91311(16897)

 Question 465445: A boat costs \$10,450 and decreases in value by 5% per year. How much will the boat be worth after 14 years? Click here to see answer by jorel1380(2518)

 Question 465447: Simplify the difference. (3w2 – 8w – 6) – (4w2 + 4w – 4) Click here to see answer by jorel1380(2518)

 Question 465446: Write the polynomial in standard form. 3g – 4g3 + 10g2 – 1 Click here to see answer by MathLover1(6638)

 Question 465449: a. Which kind of function best models the data? b. Write an equation to model the data. c. If the pattern shown in the table continues, what is the value of y for x = 6? Round to the nearest hundredth if necessary. x| 0 1 2 3 4 y| 30 15 7.5 3.75 1.875 Click here to see answer by robertb(4012)

 Question 465494: Given the polynomial f(x) = 2x4 - 18x2 a. Use Descartes Rule of Signs to determine the number of positive and negative roots. b. Use the Rational Zero Theorem (aka Rational Roots Theorem) to determine a list of possible zeros. c. Use the Intermediate Value Theorem to prove that the polynomial has a zero in the interval [-6,-1]. d. Solve for the zeros of f(x). Click here to see answer by robertb(4012)

 Question 465516: Solve using the elimination method. -7x – y = -30 4x + y = 21 Click here to see answer by algebrahouse.com(1079)

 Question 465659: how can you tell if a polynomial is the difference between two squares Click here to see answer by Alan3354(30993)
 Question 465659: how can you tell if a polynomial is the difference between two squares Click here to see answer by solver91311(16897)

 Question 465657: is a polynomial the difference between two squares Click here to see answer by solver91311(16897)

 Question 465694: Simplify this expression. The final form of the expression with variables should contain only positive numbers. Assume that all variables represent nonzero numbers. x to the forth power over x to the second power Click here to see answer by jorel1380(2518)