Which is the correct graph of f(x) = x3 – 10x2 + 9x





The graph fourth represents the function f(x) = x³ – 10x² + 9x option fourth is correct.
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 polynomial function:
[tex]\rm f(x) = x^3 - 10x^2 + 9x[/tex]
Plug x = 0
f(0) = 0
Plug x = 1
f(1) = 0
Plug x = 9
f(9) = 0
As we can in the graph, the fourth function becomes zero at x = 0, 1, and 9.
Thus, the graph fourth represents the function f(x) = x³ – 10x² + 9x option fourth is correct.
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