Question

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

Answer 1

Step-by-step explanation:

Let @ and ß be the zeros of required polynomial.

Given,

@ + ß=√2

and,@ß=-3/√2

Required Polynomial;

x²-(sum of zeros)x+product of zeros

=x²-(@+ß)x+@ß

=x²-(√2)x+(-3/√2)

=x²--√2x-3/√2

Multiplying by √2

=√2x² -2x -3