Question

find the cubic polynomial with the sum of the product of its zeros time taken at a time and product of its zeros is 2, 1, 1​

Answer 1

Step-by-step explanation:

second is sum and product of zeroes

Answer 2

Answer:

Let the zeroes be α, β and γ.

Then, we have

α + β + γ = 2

αβ + βγ + γα = 1

and

αβγ = 1

Now, required cubic polynomial

=x³ - (α + β + γ) x² + (αβ + βγ + γα) x - (αβγ)

=x³ - (2) x² + (1) x- (1)

=x³ - 2x² + 1x -1

Hope it helps!...