Question

find a quadratic polynomial the sum and product of whose zeros are root 2 and minus 3 by 2 respectively

Answer 1

ANSWER:

Let @ and ß be the zeros of the given polynomial.

Given:

@ + ß=√2

@ß= -3/2

Required polynomial:

x^2-(@+ß)x+@ß

=x^2-√2x-3/2

=2x^2-2√2x-3