Factor the polynomial completely. P(X)- x+ 16x3 +64 P) Find all its zeros. state the multiplicity of each zero. (order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part, then smallest to largest imaginary part.) X = -2 with multiplicity 2 x =| 1-iV3 with multiplicity 2 x =1+iV3 with multiplicity 2 Need Help?Read i

e3r2a1cakCh7

e3r2a1cakCh7

Answered question

2022-12-03

Factor the polynomial completely.
P ( X ) = x 6 + 16 x 3 + 64
Find all its zeros. state the multiplicity of each zero. (order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part,then smallest to largest imaginary part.)
x =-2 with multiplicity 2
x = 1 i 3 with multiplicity 2
x = 1 + i 3 with multiplicity 2

Answer & Explanation

Charlize Hendricks

Charlize Hendricks

Beginner2022-12-04Added 8 answers

p ( x ) = x 6 + 16 x 3 + 64 = ( x 3 ) 2 + 2 8 x 3 + 8 2 P ( x ) = ( x 3 + 8 ) 2 So -2 is arobt x 3 + 8 = ( x + 2 ) ( x 2 + 2 x + 4 ) ( x + 2 ) ( x ( 1 i 3 ) ( x + ( 1 + i 3 ) ) P ( x ) = ( x + 2 ) 2 ( x i 3 ) ) 2 ( x + ( 1 + i 3 ) ) 2 So roots are:  2 , 2 , 1 3 i , 1 3 i , 1 + 3 i , 1 + 3 i

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