Question

How do you factor `36t^4 + 29t^2 - 7`?

Answer 1

`(36t^2-7)(t^2+1)`

Explanation:

Let `t^2` = x. Now the given equation becomes as a quadratic equation and you can factorize this easily.

`36x^2 + 29x - 7`

`36x^2 + 36x - 7x - 7`

`36x(x+1) - 7(x+1)`

`(36x-7)(x+1)`

Substituting x, we get `(36t^2-7)(t^2+1)`