Q
QuestionMathematics

Determine all the zeros for the function f(2$)=(x^2 + 2x−8)(x−6).
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Answer

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Step 1
: First, let's expand the given function using the distributive property (also known as FOIL for quadratic functions):

f(x) = x^3 - 6x^2 + 2x^2 - 12x - 8x + 48

Step 2
: Next, we combine like terms:

To find the zeros of this function, we need to find the roots of the equation $f(x) = 0$.
This can be done by factoring or using the rational root theorem.

Final Answer

x = 1$, and $x = - 1$.