Question

Find the zeroes of the quadratic polynomial 7 2 − 11 3 − 2 3 and verify the relationship between the zeroes and their coefficients.​

Answer 1

Answer:

Given quadratic polynomial is  7y2−311y−32.

=31(21y2−11y−2)

=31(21y2−14y+3y−2)

=31[7y(3y−2)+(3y−2)]

=31(3y−2)(7y+1)

y=32 , y=−71

The zeroes of the polynomials are,

32 , −71

Relationship between the zeroes and the coefficients of the polynomials-

Sum of the zeros=-coefficient of y2coefficient of y=−⎝⎜⎜⎜⎛7−311⎠⎟⎟