Question

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

Answer 1

C

Explanation:

Answer 2

C

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
`x(x+3)(x-2)(x-4)^2`. This matches to C.