Answer:
Step-by-step explanation:
Given the function
and the x-intercepts
and
, we can find the value of c.
To find the value of c, we can use the fact that the product of the roots of a cubic equation is equal to the constant term divided by the coefficient of the highest power of
.
In this case:
- the constant term = 8
- the coefficient of the highest power of x = 2
Using the given x-intercepts, we have:
1.
: This means that when
, the function
equals 0.
Plugging this into the equation, we get:
Simplifying this equation, we get:
Therefore, the value of c is -18.
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