Question

if alpha and beta are the zeros of the palynomial x^2+4x+3.find the quadratic polynomial whose zeros are 1+alpha/beta and 1+beta / alpha​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

k(x²-2x )

Step-by-step explanation:

f(x)=x²+4x+3

⇒   0=x²+x+3x+3

⇒   0= x(x+1)+3(x+1)

⇒   0=(x+1)(x+3)

∴x= -1,-3

or we can say that α=-1 and β=-3

∴ quadratic eq. having roots (1+α)÷β and (1+β)÷α

be ax² + bx + c

and roots can also be written as ( 1 +(-1))÷(-3)= 0

and( 1+(-3))÷(-1)= 2

∴-b/a=0+2=2

and c/a = 0 x 2 = 0

∴quadratic eq. is k(x²-2x )