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Let a, b, and c be the roots of 24x^3 - 121x^2 + 87x - 8 = 0. Find \(\log_2 (a + b + c)\)

 May 16, 2022
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Vieta's formula states that the sum of all the roots of a polynomial is \(-{ b \over a} \)

 

Subbing in what we know, we find that the sum of the roots is \({121 \over 24}\).

 

Now, we just have to find the logarithm of this. 

 

Can you take it from here?

 May 16, 2022

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