Question

find a cubic polynomial whose zeros are -2,-3 and 1 .​

Answer 1

Step-by-step explanation:

1. sum of zeroes = -2+(-3)+1

-b/a = -2-3+1

-b/a = -4

2. (alpha) (beta) + (beta) (gama) + (gama )(alpha)

-2(-3) + (-3)(1) + (1)(-2)

6-3-2

6-5

c/a= 1

3. (alpha) (beta) (gama ) = (-2)(-3)(1)

-d/a = 6

from above

a= 1, b=4, c= 1 ,d= -6

general form of cubic polynomial

ax³+bx²+cx+d

x³+4x²+x-6