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