Find a degree of 4 polynomial having zeros -7, -3, 3, and 8 and the coefficient of x^4 equal 1 .

Question

Please provide the answer!! very confused

Answer 1

Given the zeros, the polynomial must have the following factors:

 

 (x+7)(x-8)(x-3)(x+3) =

 

 (x^2 - x - 56)(x^2 - 9) =

 

  x^4 - x^3 - 56x^2 - 9x^2 + 9x + 504

 

 x^4 - x^3 - 65x^2 + 9x + 504