Modulus Effect

Algebra Level 3

Let the equation ∑ i = 0 n a i x i = 0 \sum_{i=0}^{n} a_i x^{i} = 0 has exactly k k real roots where every a i ′ s a_i's are real . Then which option is correct for the equation ∑ i = 0 n ∣ a i ∣ x i = 0 \sum_{i=0}^{n} |a_i| x^{i} = 0

At most k k roots Depends on a i a_i Exactly k k roots At least k k roots

Kushal Bose by Kushal Bose , 28, India

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