Question

Please help me! I’m lost

Answer 1

Answer:

  see below

Step-by-step explanation:

The graph will cross the x-axis at x=a when (x-a) is a factor of the polynomial. Here, the graph crosses at x=-2, 1, and 3, so factors of the polynomial are ...

• (x +2)
• (x -1)
• (x -3)

The graph has a flat spot at x=1, but crosses the axis there, so the multiplicity of that factor will be an odd number greater than 1. (Odd, because the sign of the function changes there. Greater than 1 because the slope is zero there.)

The only answer choice that matches these requirements is the factorization ...

  (x +2)(x -1)³(x -3)