Question

Write the equation of the graph shown below in factored form.
A) f(x) = (x − 2)2(x + 1)(x − 3)
B) f(x) = (x + 2)2(x − 1)(x + 3)
C) f(x) = (x + 2)2(x + 1)(x + 3)
D) f(x) = (x − 2)2(x − 1)(x − 3)

Answer 1

Answer:

  A)  f(x) = (x − 2)^2(x + 1)(x − 3)

Step-by-step explanation:

The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.

When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...

  f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)

  f(x) = (x -2)^2(x +1)(x -3)