Given the ellipse represented by the following equation, where are the foci? VIEW IMAGE
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Answer:
The graph has two zeros namely 3 and 1.
Step-by-step explanation:
Consider the given equation of graph
According to the Fundamental Theorem of Algebra
For a given polynomial of degree n can have a maximum of n roots.
Thus, for the given equation the degree of polynomial is 2 , thus the function can have maximum of 2 roots.
We know at roots the value of function is 0 that is f(x) = 0,
Substitute f(x) = 0 , we get,
This is a quadratic equation,
We first solve it manually and then check by plotting graph.
Quadratic equation can be solved using middle term splitting method,
here, -4x can be written as -x-3x,
Using zero product property,
or
or
Thus, the two zero of f(x) are 3 and 1.
We can also see on graph attached below that the graph has two zeros namely 3 and 1.
