Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree​ 5; ​ zeros: 9 ; -i; 8+i Enter the polynomial. f(x)=a() do not factor this problem

Baladdaa9

Baladdaa9

Answered question

2022-07-26

Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree​ 5; ​ zeros: 9 ; -i; 8+i
Enter the polynomial.
f(x)=a() do not factor this problem

Answer & Explanation

phravincegrln2

phravincegrln2

Beginner2022-07-27Added 19 answers

Degree 5
Zeros: 9 , i , 8 + i , 8 i
f ( x ) = a ( x 9 ) ( x + i ) ( x i ) ( x ( 8 + i ) ) ( x ( 8 i ) ) = a ( x 9 ) ( x 2 + 1 ) ( x 2 8 x + i x 8 x 0 x i + 64 + 1 ) a ( x 9 ) ( x 2 + 1 ) ( x 2 16 x + 65 ) a ( x 3 + x 9 x 2 9 ) ( x 2 16 x + 65 ) a ( x 5 16 x 4 + 65 x 3 + x 3 16 x 2 + 65 x 9 x 4 + 144 x 3 585 x 2 9 x 2 + 144 x 585 )

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