Question

If a – b, a and a + b are zeroes of the polynomial x^3 – 3x^2 + x + 1 the value of (a + b) is:

Answer 1

sum of zeroes= -coeff of x^2/coeff of x^3

a+b+a+a-b=3

a=1

zeroes are 1-b,1,1+b

product of zeroes=1-b^2=1

b=0

a+b=1