Question

If zeros of polynomial x³-6x²+x+1 are a-b, a and a+b, find a and b​

Answer 1

sum of the roots =-(-6)

a-b+a+a+b=6

3a=6

a=2

product of the roots =-1

(a-b)(a)(a+b)=-1

(a²-b²)(a)=-1

(2²-b²)(2)=-1

(4-b²)=-1/2

4+1/2=b²

9/2=b²

b=3/√2

Answer 2

Answer:

I attached the answer below

Hope it helps

Please mark as brainliest