Question

Find the zero of a quauadra polynomial 6^2-7x-3 and verify the relation ship between the zeroes and the coefficient

Answer 1

$6 {x}^{2} - 7x -3 \\ 6 {x}^{2} + 2x - 9x - 3 \\ 2x(3x + 1) - 3(3x - 1) \\ (2x - 3)(3x - 1)$

Answer 2

6x^2 - 7x -3

=6x^2 - 9x + 2x -3

= 3x(2x-3) + 1(2x - 3)

=(2x-3) ( 3x + 1)

2x-3=0

or, x = 3 / 2

and,

3x +1 =0

x = - 1/3