Question

Find a cubic polynomial with the sum of its zeroes, sum of the product of its zeroestaken two at a time and the product of its zeroes as 6, -1 and -30

Answer 1

heya..!!!


given that:-

(alpha + beta + gamma ) = 6

(alpha × beta + beta × Gamma + gamma ×alpha ) = -1

(alpha + beta + gamma) = -30


we know that:-

the general formula for cubic Polynomial is:-

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


now put the values in ths equation

we get,

x³ - (6)x² + (-1)x - (-30)

=> x³ - 6x² - x + 30 = 0