Question

The degree of the polynomial function f(x) is 3.

The roots of the equation f(x)=0 are −2 , 0, and 3.

Which graph could be the graph of f(x) ?

Answer 1

We are given degree of the polynomial function = 3.

Because degree is 3, there should be three x-intercepts of the given graph of the polynomial.

We also given roots of the equation f(x)=0 are −2 , 0, and 3.

Therefore, x intercepts should be at:

(0,0), (-2,0) and (3,0).

In the given options third option shows x-intercepts at 0, -2 and 3.

Therefore, correct option is 3rd option.

Answer 2

The degree of polynomial is the highest power of the polynomial.

The first graph represents the described function.

The roots are given as:

$\mathbf{Roots =0, -2, 3}$

This means that, the graph passes through the x-axis at x = 0, x = -2 and x =3.

From the list of given options, the first graph passes through the x-axis at x = 0, x = -2 and x =3.

This means that, the first graph represents the described function.

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