Question

Find a polynomial if the sum of its roots is -3, the sum of the product of roots taken two at a time is 2, the product of roots is 5.

Answer 1

Answer:

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QUESTION :

Find a polynomial if the sum of its roots is -3, the sum of the product of roots taken two at a time is 2, the product of roots is 5.

SOLUTION :

Give that,

➢ α + ß + γ = -3

➢ αß + ßγ + αγ = 2

➢ αßγ = 5

We know the general formula for cubic polynomial is

⟹ x³ - (α + ß + γ)x² + (αß + ßγ + αγ)x - αßγ = 0

• Substitute the values..

➡ x³ - (-3)x² + (2)x - 5 = 0

➡ x³ + 3x² + 2x - 5 = 0

Therefore, the required cubic polynomial is p(x) = x³ + 3x² + 2x - 5 .

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Step-by-step explanation:

℘ℓḙᾰṧḙ ՊᾰԻк Պḙ ᾰṧ ♭Իᾰ!ℵℓ!ḙṧт ✌✌✌

Answer 2

Answer:

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