Is the indicated complex number a zero of the polynomial function f 1 2 i f ( x ) x 4 2 x 3 11 x 2 32 x 80 Use the Conjugate Zeros Theorem and other techniques to find all other zeros (If there are no other zeros, enter NA Enter your answers as a comma separated list ) x Give the complete factorization of f ( x ) f ( x ) Use Descartes's rule of signs to state the number of possible positive and negative real roots (Enter your answers as a comma separated list ) x 4 2 x 3 20 x 2 2 x 21 0 number of possible positive real roots number of possible negative real roots

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Question: Is the indicated complex number a zero of the polynomial function f ? 1 + 2 i ; f ( x ) = x 4

Is the indicated complex number a zero of the polynomial functionf?1 +2i;f(x) =x⁴2x³11x²+32x80

Use the Conjugate Zeros Theorem and other techniques to find all other zeros. (If there are no other zeros, enter NA. Enter your answers as a comma-separated list.)

Give the complete factorization off(x).

f(x) =

Use Descartes's rule of signs to state the number of possible positive and negative real roots. (Enter your answers as a comma-separated list.)x⁴+2x³20x²2x+21= 0

number of possible positive real roots:

number of possible negative real roots:

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