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

Given,x3 + x2 – 5x – 5Zeros = √5 and – √5x2 – 5 is a root(x2 – 5)(x + 1) = 0x = – 1So,The third zero is – 1

Q22 of 109 Page 3

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

Given,

x³ + x² – 5x – 5

Zeros = √5 and – √5

x² – 5 is a root

(x² – 5)(x + 1) = 0

x = – 1

So,

The third zero is – 1

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

The product of the zeros of x³ + 4x² + x – 6 is

What should be added to the polynomial x² – 5x + 4, so that 3 is the zero of the resulting polynomial?