Question

11.
If the zero of the polynomial f(n) = x -3x22
1 are (a - b), a and (a + b) find the value of a and b​

Answer 1

Answer:

Actual question is:a+a-b+a+b=

If the zeros of polynomial If the zeros of polynomial x³-3x²+x+1 are a, a-b, and a+b,  find the value of a and b?

answer:

a=1, b= √2, -√2

Step-by-step explanation:

f(x)=x³-3x²+x+1

a=1,b=-3,c=1,d=1

sum of zeros=a+a-b+a+b=3a

so 3a=-(-3)/1=3

3a=3

a=1

Again, product of roots is,

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

putting a=1

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

 1- b^2 = -1

b^2 = 2

 b= √2, -√2