Answer:
The higher degree polynomial is given by (x - 2)(x - 5)(x - √3) = x^3 - 7x^2 + 17x - 10√3.
Explanation:
The higher degree polynomial is a polynomial with three terms, each corresponding to one of the given roots. For example, the second term -7x^2 indicates the root 2 since (x-2)^2 = x^2 - 4x + 4 and the coefficient of x^2 is -4. Similarly for the other roots, 5 and √3, the corresponding terms are 17x and -10√3 respectively.