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The factorization of the given expression is:
p(x) = (x - 2.66)*(x - 0.25)
We have the quadratic equation:
12x^2 + 29x - 8
To get the factors we need to find the roots, then we use Bhaskara's formula:
[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*(-8)*12} }{2*12} \\\\x = \frac{-29 \pm 35}{24}[/tex]
Then the solutions are:
x = (-29 + 35)/24 = 0.25
x = (-29 - 35)/24 = -2.66
Then the factors of the expression are:
(x - 2.66) and (x - 0.25)
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