Question

if alpha and beta are the zeros of the p x square + 2 X + 1 then find a quadratic polynomial whose zeros are 1 minus Alpha upon 1 + alpha and 1 - beta upon 1 + beta​

Answer 1

Answer:

Step-by-step explanation:first find sum of rooots and product of roots from the equation given above.

which is,, sum of root is = -2/p

and product of roots is =1/p

Now from here,, in question it is given that

1-alpha/1+alpha and 1-beta/1+beta are the roots, then find sum of roots and product of the given roots

which is => sum of roots is p-2/p-1 and

product of root is p+3/p-1

now put these value to find the equation.

=Your equation will be

[(SUM OF ROOTS) xsquare] +[PRODUCT OF ROOTS] X +CONSTANT TERM

AND YOUR CONSTANT TERM IS P+3..FROM ABOVE EQUATION U WILL GET THIS..