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

Given,f(x) = x3 – px2 + qx – rα, β and y are the Zeros,α + β + y = – pαβ + βy + yα = – qαβy = – r1/αβ + 1/βy + 1/yα = p/r

Q19 of 109 Page 3

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

Given,

f(x) = x³ – px² + qx – r

α, β and y are the Zeros,

α + β + y = – p

αβ + βy + yα = – q

αβy = – r

1/αβ + 1/βy + 1/yα = p/r

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

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

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

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