6.If Îą and Î˛ are the zeroes of the polynomial x2 +4x+ 3,find the

1.	6.If Îą and Î˛ are the zeroes of the polynomial x2 +4x+ 3,find the polynomial wherezeroes are 1 +and 1+R6
Answer» First of all, factorize the given polynomial: x^2+4x+3=0(x+3)(X+1)=0x=-3,-1 Let the -3 be the α, and the -1 be the β. It is required to find the polynomials which have the roots of: and .X=1+b/a and X=1+a/b Substitute by α=-3, and β=-1: Therefore, the roots are: x = 0 and x = 2 Therefore, the polynomial must be: x(x-2)=0 Polynomial: x^2-2x=0

6.If Îą and Î˛ are the zeroes of the polynomial x2 +4x+ 3,find the polynomial wherezeroes are 1 +and 1+R6

Answer»

First of all, factorize the given polynomial:

x^2+4x+3=0(x+3)(X+1)=0x=-3,-1

Let the -3 be the α, and the -1 be the β.

It is required to find the polynomials which have the roots of:

and .X=1+b/a and X=1+a/b

Substitute by α=-3, and β=-1:

Therefore, the roots are: x = 0 and x = 2

Therefore, the polynomial must be: x(x-2)=0

Polynomial:

x^2-2x=0