Math  /  Algebra

QuestionP(x)=3x416x3+21x2+4x12,x1=2/3P(x)=3 x^{4}-16 x^{3}+21 x^{2}+4 x-12 \quad, x_{1}=-2 / 3

Studdy Solution
Collect all roots of the polynomial P(x) P(x) .
The roots are x1=2/3 x_1 = -2/3 , x2=1 x_2 = 1 , x3=3 x_3 = 3 , and x4=2 x_4 = 2 .
Solution: The roots of the polynomial P(x)=3x416x3+21x2+4x12 P(x) = 3x^4 - 16x^3 + 21x^2 + 4x - 12 are:
x=23,x=1,x=3,x=2x = -\frac{2}{3}, \quad x = 1, \quad x = 3, \quad x = 2

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