Question

the polynomial function f(x) has degree 4, a y-intercept of 20, roots of -4 and 5, and a multiplicity 2 root of -1

Answer 1

`f(x)=-(x+4)(x-5)(x-1)^2`

Explanation:

`f(x)=a(x+4)(x-5)(x-1)^2\\20=a(0+4)(0-5)(0-1)^2\\20=a(4)(-5)(-1)^2\\20=-20a\\-1=a\\\\f(x)=-(x+4)(x-5)(x-1)^2`