Question

Find a cubic polynomial whose zeros are -2 3 and -4

Answer 1

Answer:

cubic polynomial is represent as

k[x^3 - x^2 (alpha+beta+Gamma) +

x( (alpha × beta) + (beta × gamma) +

(gamma× alpha))-(alpha × beta × gamma)]

alpha = -2

beta = 3

gamma = -4

alpha + beta + gamma = -3

alpha beta + beta gamma + gamma alpha = - 10

alpha × beta × gamma = 24

so the equation is

= (x^3) - (x^2)(-3) + x(-10) - 24

= x^3 + 3(x^2) - 10x -24

x^3 means x cube..

ok...