What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? On a coordinate plane, a cubic function crosses the x-axis at (negative 6, 0), (negative 3, 0), (0, 0). x – 6 x – 3 x + 1 x + 6

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Answer:

D: x+6

Step-by-step explanation:

The factor of the polynomial function f(x) is x + 6

What are factors?

The factors of a polynomial are the quotients and the zeros of the polynomial

The points on the polynomial curve are given as:

(-6,0), (-3,0) and (0,0)

So, we have:

x = -6

x = -3

x = 0

Equate the above equations to 0

x + 6 = 0

x + 3 = 0

x = 0

Hence, the factor of the polynomial is x + 6

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