Question

find the zeroes of the following quadratic polynomial and verify the relation ship between the zeroes and the coefficients. (1) x²-2x-8​

Answer 1

x²-2x-8 = 0

=) x²-(4-2)x-8 = 0

=) x²-4x+2x-8 = 0

=) x(x-4)+2(x-4) = 0

=) (x-4)(x+2) = 0

x = 4 ; x = -2

Verified ✔️✔️✔️

x²-2x-8 = 0

=) 16-8-8 = 0

=) 16-16 = 0

=) 0 = 0 [Proved]

x²-2x-8 = 0

=) 4+4-8 = 0

=) 8-8 = 0

=) 0 = 0 [Proved]