Need someone to check this and go over it with me please.

Equation in factored form for a polynomial?

1. Determine an equation in factored form for a polynomial function with zeros -1 (order 2) and 3 (order 3) that passes through the point (4,5).

y = a [ x + 1 ]² [ x - 3 ]^3with 5 = a [ 5²][1^3]

I don't quite understand the bold part. How Do I incorporate it into my final function/answer.

Am I solving for a?

....5=a(25)(1)

....5=a(25)

....1/5=a

?

2. Determine an equation in factored form for the polynomial function with zeros 2 (order 2), 2/3 and 3 that passes through the point (1,6).

y = a [ x - 2 ]² [ 3x - 2 ][ x - 3 ] ...with 6 = a [ 1-2]² [ 3 - 2 ] [ 1 - 3 ]

How do we go from (the green) 2/3 to [3x-2]? And again, i'm confused with the bold part and how to put it into a?