Math, asked by komalmeghami, 3 months ago

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

Answers

Answered by sshreejam
2

Answer:

Find a cubic polynomial whose zeros are 1/2, 1 ,and -3. Hope this will help you!!! thanks but answer is 2xcube +3x square -8x+3.10-Aug-2020

Answered by anjalithakur3009
1

Answer:

x^3 −6x^2 +11x−6

Step-by-step explanation:

Let the zeroes of the cubic polynomial be  

α=1,β=2 and γ=3

Then, α+β+γ=1+2+3=6

αβ+βγ+γα=(1)(2)+(2)(3)+(3)(1)

=2+6+3

=11

and αβγ=(1)×(2)×3

=6

Now , required cubic polynomial

=x^3 −(α+β+γ)x^2 +(αβ+βγ+γα)x−αβγ

=x ^3 −(6)x  ^2 +(11)x−6

=x^3−6x^2 +11x−6

So, x^3 −6x^2 +11x−6 is the required cubic polynomial that satisfy the given conditions.

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