Question

the zeros of the polynomial m^3 -3m^2+m+1 are a-b , a , a+b , find a and b​

Answer 1

Step-by-step explanation:

The given polynomial is

p(m)= m³-3m²+m+1.

So sum of the zeroes=a-b+a+a+b=-(-3)/1=3

=> 3a=3

=> a=3/3

=> a=1

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

=> a²-ab+a²+ab+a²-b²=1

=> 3a²-b²=1

=>1×3-b²=1

=> b²=3-1=2

=> b=±√2

So the value of a=1 and b=±√2.(answer)