Question

4. Find a cubic polynomial with sum of its zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as 5/2,12/5and 2 respectively.
​

Answer 1

hey mate

here is the answer..

Answer:

we know that in a cubic polynomial,

sum of the roots=-b/a

=5/2

sum of the product of the roots taken two at a time=c/a

=12/5

product of the roots=-d/a

=2

the cubic polynomial is given by:-

x³-(sum of the roots)x²+(sum of the product of the roots taken two at a time)x+(product of the roots)

=>x³-(5/2)x²+(12/5)x-(2)

=>x³-5x²/2+12x/5-2