# algebra

posted by .

Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros.
degree: 6
Zeros: -8 + 11x(can't put this sign in looks like ii with slash over)i, -7 + 17i, 16 - isqrt 2

• algebra -

You know that since the roots come in conjugate pairs, there will be

-7 + 17i and -7 -17i
16 - isqrt2 and 16 + isqrt2

so the factors will be

(x^2 - 14x + 338) that's (x^2 -2*7x + 17^2 + 7^2)
(x^2 - 32x + 258) that's (x^2 - 2*16x + 16^2 + sqrt2^2)
and the other pair you can figure out. I can't tell what you mean.

• algebra - typo -

Hmm. I think that's +14x in the 1st case -(2*-7)

## Similar Questions

1. ### Pre-calculus

Sorry i wrote the last question wrong, it was suppose to be written as: information is given about the polynomial f(x) whose coefficients are real numbers. find the remaining zeros of f: degree 4; zeros: i, 3+i
2. ### Math

Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: -6 + 13i^3, -8 + s^2i, -3 - 4i
3. ### pre calculus

use given info about a polynomial whose coefficients are real numbers to find the remaining zeros. Degree: 6 so I know there's at least 6 zeros:-5-isqrt7, 13 + 2ni, -5 - 3i (where n is a real number) any ideas?
4. ### college algebra--need help please!!

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.
5. ### college algebra--need help please!!

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.
6. ### college algebra--need help please!!

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.