Which equation represents the polynomial function with zeros −1, 1, and 3 (multiplicity of 2), and a y-intercept of −18? (4 points) y = 2(x + 3)2(x − 1)(x + 1) y = −2(x − 3)2(x − 1)(x + 1) y = 2(x − 3)2(x − 1)(x + 1) y = −2(x + 3)(x − 1)(x + 1)

Correct
3rd option is the correct answer

Solution:
The zeros of the polynomial are -1,1 and 3. The multiplicity of 3 is 2. So the polynomial can be expressed as:



The y-intercept of the polynomial is -18. This means the polynomial passes through the point (0,-18). Therefore, y must be -18 when x = 0. Using these values of x and y in previous equation we get:



The final equation of the polynomial becomes: