Factor the Polynomial in quadratic form.

6y(to the sixth power) - 5y(to the third power) - 4

6y^6 - 5y^3 -4
= (2y^3 + 1)(3y^3- 4)

I do not believe the cubic terms are separable into quadratic factors.

To factor the polynomial 6y^6 - 5y^3 - 4, we can follow these steps:

Step 1: Notice that all the terms have a common factor of 1, so we can factor out a 1 from the polynomial to simplify it:

1(6y^6 - 5y^3 - 4)

Step 2: Next, we want to determine if we can factor this polynomial using the quadratic form (ax^2 + bx + c). However, in this case, it is not possible to factor the quadratic terms (y^6 and y^3) into quadratic factors.

Therefore, the polynomial 6y^6 - 5y^3 - 4 cannot be factored further in quadratic form.