# 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 391343: Hi There is one type of factoring a polynomial that i cant get. Can you break this problem down for me and explain it? 2x(3x-5) -7(3x-5) They say the GCF is (3x-5). They gave this as the answer.... (3x-5)(2x-7) Please help i dont get this Click here to see answer by stanbon(57214)
 Question 391343: Hi There is one type of factoring a polynomial that i cant get. Can you break this problem down for me and explain it? 2x(3x-5) -7(3x-5) They say the GCF is (3x-5). They gave this as the answer.... (3x-5)(2x-7) Please help i dont get this Click here to see answer by josmiceli(9645)

 Question 391378: Jerry has a total of 23 marbles. The marbles are either blue or green. He has three more blue marbles than green marbles. How many blue marbles does he have? Click here to see answer by solver91311(16868)

 Question 391390: Divide using long division to solve 19. (2x^3+ 13x^2+17x+10) divided by (x+5) 20. (3x^3 + 12x^2 + 12x + 48) ÷ (3x + 12) 21. (x^3 + 9x^2 + 26x + 24) ÷ (x + 4) 22. (2x^3 – 11x^2 + 2x + 15) ÷ (x + 1) Click here to see answer by solver91311(16868)

 Question 391539: Solve the equation. 5p/7 - 18 = -43 Click here to see answer by josmiceli(9645)
 Question 391539: Solve the equation. 5p/7 - 18 = -43 Click here to see answer by mananth(12270)

 Question 391606: I'm hoping someone can help me with this. Here is my problem: x^3-2x^2-7x-4=0 Please note, the "3" and the "2" are exponents. I have to a)list all possible rational roots b)use synthetic division to test the possible rational roots and find an actual root c)use the quotient from part b to find the remaining roots and solve the equation. Ok...Here's what I have so far: For part a) my POSSIBLE rational roots, obtained by dividing the factors of the constant term/lead coefficient are; {+-1.+-2,+-4} For part b) I tested them via synthetic division and found that {-1,2,4} are my ACTUAL roots. Ok...HERE'S what I don't get: First, let me ask a silly question. If I have used all my POSSIBLE roots and found ACTUAL roots, how can any roots still be remaining? Also...WHICH quotient am I supposed to use??!!! I would be very grateful for help and clarification of part c of this problem! I need to know how to find the "remaining roots", then how to use it to solve my polynomial. Thank you to whomever responds! Click here to see answer by edjones(7569)

 Question 391719: The function f(x) = 3x^3 - 2x^2 + x - 2 can be expressed as: a. (x+1) (x^2 + x + 2) b. (x-1) (x^2 + x + 2) c. (x+1) (3x^2 + x + 2) d. (x+1) (3x^2 + x + 2) I think it's C. Am I right? ---------- Use limits to describe the end behavior of f(x) = 2 / (divided by) x^2 - 1 at values of x not in its domain. Thanks for the help. Click here to see answer by MathLover1(6611)
 Question 391719: The function f(x) = 3x^3 - 2x^2 + x - 2 can be expressed as: a. (x+1) (x^2 + x + 2) b. (x-1) (x^2 + x + 2) c. (x+1) (3x^2 + x + 2) d. (x+1) (3x^2 + x + 2) I think it's C. Am I right? ---------- Use limits to describe the end behavior of f(x) = 2 / (divided by) x^2 - 1 at values of x not in its domain. Thanks for the help. Click here to see answer by ewatrrr(10682)

 Question 391741: Evaluate the polynominal for x=-2 2x^2-5x+3 I'm getting an answer of 29, am I correct? Click here to see answer by ewatrrr(10682)

 Question 391718: The zeros of f(x) = 3x^4 + 8x^3 + 6x^2 + 3x - 2 are? I know it's 4. And I have an idea of what they are... But I'm confused. Please show the steps, if possible. Given that 4i is a zero of f(x) = x^4 + 13x^2 - 48, there must be three real zeros of f(x). True or false? For this one, and if possible, could someone provide a brief explanation of what's the difference between calculating real zeros and imaginary zeros? That's the main issue I have. Click here to see answer by CharlesG2(828)

 Question 391772: how do i use the zero-factor property when solving a quadratic equation. can they both sides be zero? Click here to see answer by Alan3354(30945)
 Question 391772: how do i use the zero-factor property when solving a quadratic equation. can they both sides be zero? Click here to see answer by stanbon(57214)

 Question 391788: oThe amount of calcium and iron (in milligrams) found in one 10 oz package of broccoli If there 13% of calcium in one 10oz package of broccoli and 12% of iron how do I convert percentage to milligrams? Click here to see answer by Alan3354(30945)

 Question 391854: sqrt 5x^2-3x=2x can you help me solve this? Click here to see answer by stanbon(57214)

 Question 391943: Find a polynomial f(x) of degree 4 that has the following zeros. -4,1,0,-5 Leave your answer in factored form. Click here to see answer by Alan3354(30945)

 Question 391962: . A factory produces very small electric light bulbs. It is known from experience that 6% of the bulbs produced are defective, i.e. they do not work. Another factory uses these bulbs in strings of lights used to decorate Christmas trees, where each string contains 50 light bulbs. For a string of lights, calculate, (a) the mean number of bulbs which are defective (b) the variance of the number of defective bulbs (c) the standard deviation of the number of defective bulbs (d) The company that produces the strings of lights packages each string in a box. The company also wishes to include a small packet of spare bulbs in the box. Using your answers from (a), (b) and (c) above, how many spare bulbs should they include with each string? Click here to see answer by stanbon(57214)

 Question 391995: its more monomials but , ([3^2]^3 g^5 h^8)^2 Click here to see answer by stanbon(57214)

 Question 391971: Write a polynomial equation of least degree with roots: 1, i, and -i. Thank you so much for all of your help!!!!!! God Bless!!!!!! Click here to see answer by josmiceli(9645)

 Question 392025: Hey I need help simplifying rational expressions that have polynomials on both the denominator and the numerator Thx Click here to see answer by rfer(12644)

 Question 392056: Can you help me solve this polynomial? (b^2+b-12)/(b^2+2b-15) Click here to see answer by rfer(12644)

 Question 392108: How do you factor 18^3+32x? 20k^2-100k? x^2+8x+40? 2x^3-2x? Click here to see answer by edjones(7569)

 Question 392345: How to solve this, 6x^3-6x^2-x+1 by factoring through grouping. Click here to see answer by MathLover1(6611)

 Question 392348: What is the greatest common factor of these three polynomials 11x^7, 11x, -66? Click here to see answer by rfer(12644)