Answer:
the degree of f(x) is 3
Step-by-step explanation:
fundamental theorem of algebra
The degree of function f(x) is at least 3.
The function has n intercepts i.e. it touches the x-axis n times, then the function will have at least n roots.
And as we know if the degree of the function is n then the number of roots of the function is n.
So, if the function has n intercepts, then the function has at least n degrees.
Here given that the polynomial function f(x) has 3 intercepts.
Then from above, it is clear that the function will have at least 3 roots.
And the function will have at least 3 degrees.
Therefore If the polynomial f(x) has 3 intercepts, then The degree of function f(x) is at least 3.
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