Question

write a cubic polynomial whose zeros are 4,-3,1

Answer 1

P(x) = (x-4) (x+3) (x-1)
= (x²+3x-4x-12) (x-1)
= (x²-x-12) (x-1)
= x³-x-x²+x-12x+12
= x³-x²-12x+12.......... It is the required polynomial equation.