Post a New Question

algebra

posted by .

the binomial 8y^12+z^6 can be factored into a binomial and a trinomial. the binomial factor is (2y^4+z^2). whats the trinomial?

  • algebra -

    Just do the long division to get
    (2y^4 + z^2)(4y^8 - 2y^4z^2 + z^4)

  • algebra -

    or, you could recognize it as the sum of two cubes:

    8y^12+z^6
    = (2y^4)^3 + (z^2)^3
    = (2y^4 + z^2)((2y^4)^2 - (2y^4)(z^2) + (z^2)^2)
    = (2y^4 + z^2)(4y^8 - 2y^4z^2 + z^4)

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question