Question

A quadratic polynomial has sum of the zeroes and product of the zeroes as -1 and-20 respectively. find the zeroes of this polynomial

Answer 1

Answer:

Step-by-step explanation:

Let , alpha abd veta be the roots

Therefore alpha + beta = -1 ( sum of the roots ).

and, alpha x beta = -20 ( product of the roots ) .

So ,the required polynomial is ,

P (x) = x square - (alpha + beta)x + alpha x beta.

P(x) = x square - (-1)x + (-20)

= x square + x - 20.