Question

Hey:) can you please help me posted picture of question

Answer 1

The correct option is (A) x(x - 5)

Step-by-step explanation:
Since the graph intersects the x-axis at x = 0 and x = 5 and the polynomial roots of x(x-5) is also x = 0 and x = 5 since:

x = 0 (First root)
x-5 = 0
x = 5 (Second root)

And the graph intersects the x-axis at these two points.

Answer 2

The graph is crossing the x-axis at x = 0 and x = 5
This means, x and x - 5 are the factors of the polynomial.

A polynomial can be expressed as the product of its factors. So the above polynomial can be expressed as x(x-5)

Thus, the correct answer to this question is option A