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1
|x_1|+|x_2|+|x_3| , P(x)=x^3 -6x^2+5x +12 (HOMC 2017 J Q1)
|x_1|+|x_2|+|x_3| , P(x)=x^3 -6x^2+5x +12 (HOMC 2017 J Q1)
Source:
August 7, 2019
algebra
polynomial
Sum
Problem Statement
Suppose
x
1
,
x
2
,
x
3
x_1, x_2, x_3
x
1
,
x
2
,
x
3
are the roots of polynomial
P
(
x
)
=
x
3
−
6
x
2
+
5
x
+
12
P(x) = x^3 - 6x^2 + 5x + 12
P
(
x
)
=
x
3
−
6
x
2
+
5
x
+
12
The sum
∣
x
1
∣
+
∣
x
2
∣
+
∣
x
3
∣
|x_1| + |x_2| + |x_3|
∣
x
1
∣
+
∣
x
2
∣
+
∣
x
3
∣
is(A):
4
4
4
(B):
6
6
6
(C):
8
8
8
(D):
14
14
14
(E): None of the above.
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