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Which expression is a factor of 12x2 29x – 8? x – 8 2x – 1 3x 8 4x 1

Sagot :

The factorization of the given expression is:

p(x) = (x - 2.66)*(x - 0.25)

Which expression is a factor?

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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