The graph below represents a polynomial.
Which polynomial could be represented by this graph?
A-) y = x(x - 2)(x + 3)(x - 4)
B-) y = x(x + 2)(x - 3)(x + 4)
C-) y = x(x - 2)(x + 3)(x - 4)²
D-) y = x(x + 2)(x - 3)(x + 4)²

The graph below represents a polynomial Which polynomial could be represented by this graph A y xx 2x 3x 4 B y xx 2x 3x 4 C y xx 2x 3x 4 D y xx 2x 3x 4 class=

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Answer:

C

Step-by-step explanation:

The polynomial on the graph has zeros or x-intercepts at x = -3, 0, 2, 4. These come from the factors x (x+3)(x-2)(x-4). Notice at 4 it doesn't cross but just touches. This means it has a degree of 2. So the factors are [tex]x(x+3)(x-2)(x-4)^2[/tex]. This matches to C.

Answer:

C

Step-by-step explanation: