Question

find the cubic polynomial whose zeros are -1,2,3​

Answer 1

The required cubic polynomial is x³-4x²+x+6

1) According to fundamental theorem of algebra, A polynomial of form f(x)= (x-a)(x-b)(x-c) would have zeroes as a,b,c

2) Given the zeroes of cubic polynomial are -1,2,3

3) Considering these as values of a,b,c and substitutig in the equation of theorem

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

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

5)Multiplying the terms together

f(x)= (x²-x-2)(x-3)

f(x) = (x³-4x²+x+6)