Question

if alpha and beta are the zeros of the polynomial 4x^2 - 2 X + 3 then the polynomial whose zeros can be one by Alpha and one by beta is​

Answer 1

Step-by-step explanation:

B

x

2

+2x+1

Given that,

α and β are Zeroes, then equation will be

x

2

−(α+β)+αβ=0

Given equation is 4x

2

+4x+1=0

∴α+β=

4

−4

=−1

αβ=

4

1

Now, new zeroes are 2α and 2β

then,

2α+2β=2(α+β)=2(−1)=−2

2α×2β=2αβ=4×(

4

1

)=1

So the quadratic polynomial will be

x

2

−(−2)x−1=0

⇒x

2

+2x+1=0

Option B is correct answer.

hope you are satisfied with the answer

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