Question

Find a cubic polynomial whose zeroes are -1, 2 and -3​

Answer 1

Answer:

x^3+2x^2-5x+6=0

there can be many such polynomial but the main polynomial is this.

Answer 2

Sum of the zeroes ,

=> -2+(-3)+(-1)

=> -6.

Product of zeroes taken two at a time,

=> (-2)(-3) +(-3)(-1)+(-1)(-2)

=> 6+3+2

=> 11.

Product of zeroes,

=> (-2)(-3)(-1)

=> -6.

Now the cubic polynomial,

x³ - ( sum of Zeroes )x² + ( Product of zeroes taken two at a time )x - ( Product of zeroes )

→ x³ - ( 6 )x² + ( 11 )x - ( - 6 )

→ x³ - 6x² + 11x + 6