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)

## Answer this Question

## Related Questions

- algebra 2 - this binomial can be factored as the product of a binomial and ...
- Math - this question does not make sense to me. Add the proper constant to the ...
- Math - Rules on multiplying Monomial to monomials ; Monomial to Binomial : ...
- math 118 - x^2+10x Add the proper constant to the binomial so tha tthe resulting...
- Algebra - Hi! My name is Jason... today I have 2 problems for you both having to...
- math - Consider the following binomials. A=(x^2+5x) B=(6x+30) Part 1: Factor ...
- math - Consider the following binomials. A=(x^2+5x) B=(6x+30) Part 1: Factor ...
- math - Consider the following binomials. A=(x^2+5x) B=(6x+30) Part 1: Factor ...
- Algebra - Give the degree and classify the polynomial by the number of terms. A...
- Help Please, Oh Please--Algebra - Identify 3x^5 − x^2 + 4x as a monomial...

More Related Questions