Question

Write a polynomial function for f(2) = 0 with a multiplicity of 2 and f(-1) = 0.​

Answer 1

f(2) = 0 with multiplicity of 2 so (x-2) is a factor of the polynomial.

f(-1) = 0 so (x+1) is a factor.

f(x) =(x-2)^2(x+1) = (x^2-4x+4)(x+1) = x^3-3x^2+4