Question

Q - If the zeroes of the polynomial x³ – 3x² + x + 1 are a – b, a, a + b, then find the value of a and b.

Chapter - Polynomial
Class - 10th​

Answer 1

Answer:

sum of the zeroes = (a-b) + (a+b) + a = 3a i.e. 3a = - b/a

or

3a=3

or

a=1

product of the zeroes = (a-b)*(a+b)*a= a3-ab2 i.e. 1 - b2 = c/a (by putting the value a=1)

or b2 =2

or b = +-root2