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

1 Answer

Jun 27, 2016

#(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)#

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