math

posted by .

1.)The polynomial 729 x^{3} - 1 y^{3} can be factored into the product of two polynomials, A * B where the degree of A is greater than the degree of B. Find A and B.

2.)The polynomial 16 a^{6} + 8 a^{3}b + 1 b^2 - 49 c^{6} can be factored into the product of two polynomials, A * B where the coefficient of c in A is less than the coefficient of c in B. Find A and B.

  • math -

    strange wording for a problem that simply could be stated as ...

    factor 729x^3 - y^3

    then
    729x^3 - y^3 = (9x-y)(81x^2 + 9xy + y^2)

    so I guess
    B is 9x-y and
    A is 81x^2 + 9xy + y^2


    For the second, I will simply factor it, ignoring the strange conditions.

    16a^6 + 8a^2b + b^2 - 49c^6
    = (4a^2+b)^2 - 49c^6 , a difference of squares
    = (4a^2 + b + 7c^3)(4a^2 + b - 7c^3)

  • math -

    wow thank you so much! i spent hours on that problem. thanks again for the help.

  • math -

    I am just curious who is giving you such unusually phrased questions.
    Are these from your textbook ?

  • math -

    It's from a website called WebWork where we do the homework on.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra 2

    I am trying to factor a 4th degree polynomial that does not have any rational roots. I need to somehow get it factored into two quadratics. Anyone know of a method to use. 3x^4 - 8x^3 - 5x^2 + 16x - 5 Two of the irrational roots are …
  2. algebra question

    Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5) (2x -1) ( ?
  3. math

    1.binomial 2.degree of monomial 3.monomial 4.perfect-square trinomial 5.standard form of polynomial A.a polynomial with two terms B.a polynomial in which the terms decrease in degree from left to right and there are no like terms C.a …
  4. math

    The polynomial 14 x^3 + 8 x^2 + 21 x + 12 can be factored into the product of two polynomials, A * B where the degree of A is greater than the degree of B. Find A and B.
  5. math

    True or False? 1. The product of 2 linear polynomials is quadratic 2. The sum of two cubic polynomials cannot have a degree greater than 3. 3. The sum of two cubic polynomials may have a degree less than 3. 4. The sum of a cubic and
  6. math

    Find a polynomial f(x) with leading coefficient 1 and having the given degree and zeros. Each polynomial should be expanded from factored form, simplified and written in descending order of exponents on the variable. For example: (x+5)(x-2) …
  7. math (taylor polynomials)

    Find the degree 3 Taylor polynomial T3(x) of the function f(x)=(7x+50)4/3 at a=2 Find the second-degree Taylor polynomial for f(x)=4x2−7x+6 about x=0 thank you! (:
  8. algebra 2

    Find the largest integer k such that the polynomial x2 + 12x + k can be factored into the product of two linear polynomials, each of which has integral coefficients
  9. algebra

    Identify the degree of each term of each polynomial. Then find the degree of the polynomial. xy^3 + 7x^3y^2 - 6xy^4 + 2 I am really having trouble with how this process works. I know the degree of the polynomial is 5 but I don't know …
  10. math help pls pls pls

    Four polynomials are shown below: A. 2 − 2x5 + 2x2 B. 5x3 + 5 − 5x4 C. 3x + 2x5 D. 6x3 − 1 Which of the above polynomials is a 5th degree binomial?

More Similar Questions