If α, β are the zeros of the polynomial f(x) = ax2 + bx + c, then =

Givenf(x) = ax2 + bx + cα, β are the Zerosα + β = – b/aαβ = c/a1/ α + 1/β = 1/α2 + 1/β2 = (1/α + 1/β)2 – 2/αβ= ( – b/c)2 – 2a/c=

Q20 of 109 Page 3

If α, β are the zeros of the polynomial f(x) = ax² + bx + c, then =

Given

f(x) = ax² + bx + c

α, β are the Zeros

α + β = – b/a

αβ = c/a

1/ α + 1/β =

1/α² + 1/β² = (1/α + 1/β)² – 2/αβ

= ( – b/c)² – 2a/c

If α, β, γ are the zeros of the polynomial f(x) = ax³ + bx² + cx + d, then α² + β² + γ² =

If α, β, γ are the zeros of the polynomial f(x) = x³ – px² + qx – r, then =

If two of the zeros of the cubic polynomial ax³ + bx² + cx + d are each equal to zero, then the third zero is

If two zeros of x³ + x² – 5x – 5 are √5 and –√5 , then its third zero is