Question

If α, β are the zeros of the polynomial f (x) = x² + x + 1, then (1/α) + (1/β) =
A. 1
B. – 1
C. 0
D. None of these

Answer 1

Answer:

-1/1

Step-by-step explanation:

let the roots be a & b ( as my keyboard doesn't contain ALPHA and BETA )

• 1/a×1/b=(a+b)/ab
• sum of roots (a+b) is minus of x coefficient by x square coefficient.
• product of roots (ab) is constant by x square coefficient
• here x square coefficient = 1

x coefficient = 1

constant = 1

• a+b = -1/1 = -1 & ab = 1/1 = 1
• (a+b)/ab = -1/1

so answer is -1/1