Q3 If the zeroes of the polynomial are a – b, a, a + b, find a and b.
The roots of the above polynomial are a, a - b and a + b
Sum of the roots of the given polynomial = 3
a + (a - b) + (a + b) = 3
3a = 3
a = 1
The roots are therefore 1, 1 - b and 1 + b
Product of the roots of the given polynomial = -1
1 x (1 - b) x (1 + b) = - 1
1 - b2 = -1
b2 - 2 = 0
Therefore a = 1 and .