A (0, 2), B (–2, 6), and C (4, 0). Find the coordinates of the orthocenter
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<span>We have the following polynomial:
The problem states that one root is -3. Thus, it is true that
is a factor of the polynomial. Given that this is fulfilled, it is also true that:
</span>
<span>
We can find Q(x) by applying Ruffini's rule, thus:
</span>
<span>
Therefore:
The roots of this polynomial can be get as follows:
These are the roots along with
. Finally, the factored polynomial can be written as follows:
</span>
The problem states that one root is -3. Thus, it is true that
</span>
We can find Q(x) by applying Ruffini's rule, thus:
</span>
Therefore:
The roots of this polynomial can be get as follows:
These are the roots along with