Question

If the zeroes of the polynomial.x^3 - 3x^2+x+ I are a - b,a, a + b, find a and b.​

Answer 1

Step-by-step explanation:

Sum of zeros =-(-3)/1

→ a-b+a+a+b=3

→3a= 3

→a= 1.

Product of zeros = -(1)/1

→(a-b)(a+b)a=- 1

→(a^2-b^2)a= -1

→{(1)^2-b^2)}×1= -1{since , a=1}

→1-b^2= -1

→-b^2= -2

→b^2= 2

→b =√2 or , -√2