Math, asked by vishnurajD, 1 year ago

if alpha and beta are the zeros of polynomial x2 +4x +3,find the polynomial whose zeroes are 1 +beta divide alpha and 1 +alpha divide beta.

Answers

Answered by paulaiskander2
143

Answer:

x^2-2x=0

Step-by-step explanation:

First of all, factorize the given polynomial:

x^2+4x+3=0\\(x+3)(x+1)=0\\x=-3\:\:or\:\:x=-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:

x=\frac{1+\beta}{\alpha} and x=\frac{1+\alpha}{\beta}.

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


Answered by himanshurajvanshi
123
this is the correct answer
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