Question

Which set below contains all the zeros of $ p(x)=x^{4}+4 x^{3}+4 x^{2}-4 x-5 $ ? (A) $ \{1,-1,2+i, 2-i\} $ (B) $ \{-1,2+1,2-1,1\} $ (C) $ \{1,-1,-2+i,-2-i\} $ (D) $ \{-2-i,-2+i, i,-i\} $ (E) None of the above

          Which set below contains all the zeros of \( p(x)=x^{4}+4 x^{3}+4 x^{2}-4 x-5 \) ?
(A) \( \{1,-1,2+i, 2-i\} \)
(B) \( \{-1,2+1,2-1,1\} \)
(C) \( \{1,-1,-2+i,-2-i\} \)
(D) \( \{-2-i,-2+i, i,-i\} \)
(E) None of the above

$Which set below contains all the zeros of p(x)=x^4+4 x^3+4 x^2-4 x-5 ? (A) {1,-1,2+i, 2-i} (B) {-1,2+1,2-1,1} (C) {1,-1,-2+i,-2-i} (D) {-2-i,-2+i, i,-i} (E) None of the above$

Added by Pedro L.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Jonathon Brumley

Step 1

The polynomial given is $ p(x) = x^4 + 4x^3 + 4x^2 - 4x - 5 $. It is a fourth-degree polynomial, so it should have four roots (including complex and repeated roots). Show more…

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Which set below contains all the zeros of $ p(x)=x^{4}+4 x^{3}+4 x^{2}-4 x-5 $ ? (A) $ \{1,-1,2+i, 2-i\} $ (B) $ \{-1,2+1,2-1,1\} $ (C) $ \{1,-1,-2+i,-2-i\} $ (D) $ \{-2-i,-2+i, i,-i\} $ (E) None of the above