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# Roots

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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