5. zero of the polynomial f(x)=2X3-9X2 +X+12 how to find it

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Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x).

f(x) = $2 x^{3} - 9 x^{2}$ + x + 12, g(x) = 3 - 2x

Show that g(x) is a factor of f(x), where

f(x) = 2x³ − 9x² + x + 12, g(x) = 3 − 2x

- \sqrt{\frac{3}{2}} and \sqrt{\frac{3}{2}}

f (x) = - (x - 1)^{3} (x + 1)^{2}

x^{4} - 2 x^{3} - 7 x^{2} + 8 x + 12

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