Question

1. Verify the relationship between the zeroes
and coefficients of the following polynomials.
(a) x²+11x +18 (b) 2x²+x-6​

Answer 1

a) x² + 2x + 9x + 18 = x(x+2) + 9(x+2) = (x+9)(x+2) = 0

roots are -9, -2

$\alpha + \beta = - b \div a$

-11 = -11/1 =-11

$\alpha \beta = c \div a$

-9×-2 = 18 = 18/1 = 18

Similarly you can do the second one.