Question

find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time, and the product of its zeros as 5, -2 and -24 respectively

Answer 1

heya..!!!!


we know that:-

general formula for cubic Polynomial is:-

x³ - ( alpha + beta + gamma) x² + ( alpha×beta + beta + gamma × alpha ) x - alpha × beta × gamma


given that:-

(alpha + beta + gamma) = 5

(alpha×beta + beta×gamma + gamma × alpha) = -2

AND,

(alpha × beta × gamma) = -24

now put this value in the general equation

we get,

x³ - ( alpha + beta + gamma) x² + ( alpha×beta + beta + gamma × alpha ) x - alpha × beta × gamma


=> x³ - (5)x² + (-2)x - (-24)

=> x³ - 5x² - 2x + 24 = 0

Answer 2

Answer:

Step-by-step explanation:

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