Question

if the zeros of the polynomial x³_3x²+x+1 are a_b,a,a+b find a and b​

Answer 1

Answer:

ANSWER

a−b,a,a+b are zeroes of x3−3x2+x+1

⇒a−b+a+a+b= sum of zeroes = 3

⇒3a=3

⇒a=1

(a−b)(a)(a+b)= product of zeroes =−1

⇒(1−b)(1+b)=−1