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How many and of which kind of roots does the equation f(x) = x³ + 2x² + 4x + 8 have?A. 3 realOB. 2 real; 1 complexOC. 2 real; 2 complexOD. 1 real; 2 complexReset Selection

How Many And Of Which Kind Of Roots Does The Equation Fx X 2x 4x 8 HaveA 3 RealOB 2 Real 1 ComplexOC 2 Real 2 ComplexOD 1 Real 2 ComplexReset Selection class=

Answer :

Solution:

Given the cubic equation;

[tex]f(x)=x^3+2x^2+4x+8[/tex]

The roots of the equation are;

[tex]x=-2,x=-2i,x=2i[/tex]

CORRECT OPTION: (D) 1 real; 2 complex