Posted by jessica on Tuesday, April 3, 2012 at 9:50pm.
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  Steve, Wednesday, April 4, 2012 at 10:29am
Just do the long division to get
(2y^4 + z^2)(4y^8  2y^4z^2 + z^4) 
algebra  Steve, Wednesday, April 4, 2012 at 10:31am
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)