MathDB

1

Part of 2017 Hanoi Open Mathematics Competitions

Problems(2)

|x_1|+|x_2|+|x_3| , P(x)=x^3 -6x^2+5x +12 (HOMC 2017 J Q1)

Source:

8/7/2019
Suppose x1,x2,x3x_1, x_2, x_3 are the roots of polynomial P(x)=x3−6x2+5x+12P(x) = x^3 - 6x^2 + 5x + 12 The sum ∣x1∣+∣x2∣+∣x3∣|x_1| + |x_2| + |x_3| is
(A): 44 (B): 66 (C): 88 (D): 1414 (E): None of the above.
algebrapolynomialSum
|x_1|+|x_2|+|x_3| , P(x)=x^3 -4x^2 -3x +2 (HOMC 2017 S Q1)

Source:

9/8/2019
Suppose x1,x2,x3x_1, x_2, x_3 are the roots of polynomial P(x)=x3−4x2−3x+2P(x) = x^3 - 4x^2 -3x + 2. The sum ∣x1∣+∣x2∣+∣x3∣|x_1| + |x_2| + |x_3| is
(A): 44 (B): 66 (C): 88 (D): 1010 (E): None of the above.
algebraSumpolynomial