polynomial P Is given. Px) = x -7x3 - 8 (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) (6) Factor P completely. P(x)

nazismes2w7

nazismes2w7

Answered question

2022-11-24

A polynomial P Is given.
P ( x ) = x 6 7 x 3 8
Px)= ?
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
x=?
(b) Factor P completely.
P(x)=?

Answer & Explanation

poly3E7V

poly3E7V

Beginner2022-11-25Added 6 answers

P ( x ) = x 6 7 x 3 8 = ( x + 1 ) ( x 5 + x 4 8 x 3 8 x 2 8 x 8 ) = ( x + 1 ) 2 ( x 4 8 x 2 8 ) = ( x + 1 ) 2 ( x 2 ( 8 + 96 2 ) ) ( x 2 ( 8 96 2 ) ) = ( x + 1 ) 2 ( x 2 ( 4 + 2 3 ) ) ( x 2 ( 4 2 3 ) ) = ( [ + 1 ) 2 ( x 3 1 ) ( x + 3 + 1 ) ( x 3 + 1 ) ( x + 3 1 ) So roots are: 1 , 1 , 3 + 1 , ( 3 + 1 ) , 1 3 , 3 1

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