Question

Write an expression in factored form for the polynomial of least possible degree graphed below !!

Answer 1

Hi,

f(x)=-1/24 * (x+2)²(x-3)(x-4)

Explanation:

Roots are -2 multiplicity 2 and 3 and 4

`f(x)=k*(x+2)^2(x-3)(x-4)\\\\f(0)=-2\ \Longrightarrow\ -2=k*4*(-3)*(-4)\\\\\Longrightarrow\ k=-(1)/(24) \\`