Question

if alpha and beta are the zeros of the polynomial X square + 4 x + 3 find the quadratic polynomial whose zeros are 1 + Alpha upon beta and 1 + beta upon Alpha​

Answer 1

Answer:

x²-(sum)+(P)

x²-(2x)+0

Step-by-step explanation:

we have, x²+4x+3. a+b=-4 & ab=3

$\alpha + \beta \: and \: \alpha \beta$

1.sum of given zeroes

1+a/b + 1+b/a = a+a²+b+b²/ab

= -4+(-4)²-2×3/3

=-4+16-6/3

=-10+16/3

=6/3

=2

alpha+beta=-b/a=2

2.and product of zeroes

(1+a/b)(1+b/a)

=1+b+a+ab/ab

=1+(-4)+3/3

=1-4+3/3

=0/3

alpha × beta =c/a=0

HENCE,X²-SUM+PRODUCT= x²-(2)+0

I HOPE THIS WILL HELP YOU.