By the rational roots theorem, the possible rational roots are

= ±1, ±2, ±1/2, ±1/4.

Start testing these factors by using the Factor Theorem or synthetic division. You'll find that x = 2 is a root:

So the polynomial factors intoCode:2| 4 -12 9 -2 -- 8 -8 2 ----------------- 4 -4 1 0

The other roots are x = 1/2 (double root).

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