Create a polynomial in factored form with following characteristics:

Question

zero at x=2, multiplicity of 3

zero at x=-4, multiplicity of 1

zero at x=6, multiplicity of 7

Answer 1

f(x) = (x-2)³[x-(-4)](x-6)⁷

 

      = (x+4)(x-2)³(x-6)⁷