Question

2. If the sum and product of the zeroes of the polynomial ax? - 6x + c is equal to 12 each, find
the values of a and c.




​

Answer 1

Product of roots of quadratic of the form: ax

2

+bx+c=0 (a



=0) is given by:

a

c

.

Here, a=a,c=−6

Therefore,

a

−6

=4⟹a=

2

−3

.