QuestionFactor the polynomial $g(x)=8 x^{4}+44 x^{3}-128 x^{2}-284 x+168$ into linear and irreducible quadratic factors.
You must algebraically determine what the polynomial fully factors to AND list the rational zeros.

Studdy Solution
The fully factored form of $g(x)$ is $4(2x-1)(x-3)(x+2)(x+7)$ .
The rational zeros are $x = \frac{1}{2}$ , $x = 3$ , $x = -2$ , and $x = -7$ .

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