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The graph is touching the x-axis at x = - 5 and is turning away. This means the multiplicity of the root is 2.
So the roots f the polynomial are x= - 5 and x =- 5. The factors of the polynomial are x - 5 and x - 5. The polynomial can be expressed as the product of its factors. So the given polynomial is (x + 5)(x + 5).

Thus, the correct answer is option D