The option (C) f(x) = (x+2)(x-3)²(x+4) is correct because in the graph the minimum value of function is less than 40.
What is polynomial?
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a graph of a polynomial.
From the graph we can clearly see there is three x-intercept where the value of a polynomial function becomes zero.
The minimum value of function is less than 40
At x = 3, f(3) = 0
At x = -2, f(-2) = 0
At x = -4, f(-4) = 0
Thu graph of a function will be:
[tex]\rm y\ =\ \left(x+2\right)\left(x-3\right)^{2}\left(x+4\right)[/tex]
Thus, the option (C) f(x) = (x+2)(x-3)²(x+4) is correct because in the graph the minimum value of function is less than 40.
Learn more about Polynomial here:
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