Question

if alpha and beta gamma are the zeros of the polynomial 3x-5x²-11×-3 then alpha+beta+gamma=​

Answer 1

Answer:Correct Question :

if alpha, beta and gamma are the zeroes of the polynomial 3x³-5x²-11x-3 then alpha + beta + gamma =​

Answer:

α + β + γ = 5/3

Step-by-step explanation:

⇒ Cubic Polynomial :

It is a polynomial of degree 3.

General form :

    ax³ + bx² + cx + d

Relation between zeroes and coefficients :

     ☆ Sum of zeroes = -b/a

     ☆ Sum of the product of zeroes taken two at a time = c/a

     ☆ Product of zeroes = -d/a

_______________________________

Given polynomial,

3x³ - 5x² - 11x - 3

It is a polynomial of degree 3 , hence It is a cubic polynomial.

It is of the form ax³ + bx² + cx + d

By comparing,

a = 3 , b = -5 , c = -11 , d = -3

α , β and γ are the zeroes of the given polynomial.

we know, from the relation between zeroes and coefficients,

Sum of the zeroes = -b/a

α + β + γ = -(-5)/3

α + β + γ = 5/3

Therefore, sum of zeroes = 5/3

Step-by-step explanation: