Question

Writing Polynomial Function Given a y-Intercept

Answer 1

We already got

f(x)= a(x-2)(x-3)(x-5)

We got
`a=(1)/(6)`

first we multiply the parenthesis in f(x)

f(x)= a(x-2)(x-3)(x-5)

`f(x)= a(x^2-5x+6)(x-5)`

`f(x) = a(x^3 - 10 x^2 + 31 x - 30)`

Replace the value of 'a'

`f(x) = (1)/(6)(x^3 - 10 x^2 + 31 x - 30)`

Multiply 1/16 inside the parenthesis

`f(x) = (1)/(6)x^3 - (5)/(3) x^2 + (31)/(6) x - 5`