Question

FIND THE CUBIC POLYNOMIAL WITH THE SUM, SOME OF THE PRODUCT ITS ZEROES TAKEN TWO AT A TIME, AND THE PRODUCT OF ITS ZEROES AS 2,-7,-14 RESPECTIVELY?

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Answer 1

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Answer 2

Answer:

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Answer is given below ⬇️ and above ⬆️ too !

Step-by-step explanation:

Let the polynomial be ax3 + bx2 + cx + d and the zeroes be α, β and γ

Then, α + β + γ = -(-2)/1 = 2 = -b/a αβ + βγ + γα = -7 = -7/1 = c/a αβγ = -14 = -14/1 = -d/a

∴ a = 1, b = -2, c = -7 and d = 14

So, one cubic polynomial which satisfy the given conditions will be x³ – 2x²– 7x + 14.

Hope it was a helpful one ❣️