Question

Given that the polynomial f(x) has 3 intercepts, which of the following most accurately describes the degree of f(x)?

Answer 1

Answer:

the degree of f(x) is 3

Step-by-step explanation:

fundamental theorem of algebra

Answer 2

The degree of function f(x) is at least 3.

How to determine the number of root from the number of intercepts of the function?

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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