alleryStart learning →Is every complex zero of a polynomial an imaginary number?
ANo, real numbers are complex too
BYes, all complex zeros are imaginary
CNo, only rational zeros count here
DYes, unless the degree is even
Answer & Solution
Correct answer: A. No, real numbers are complex too
1. A complex number has the form a + bi, and b is allowed to be 0.
2. When b is 0 the number is real, so every real number is also a complex number.
3. So a guarantee of a complex zero does not promise an imaginary one.
_Source: OpenStax Precalculus (CC BY 4.0), section 3.6 Zeros of Polynomial Functions_
Keep practising Zeros of Polynomial Functions
Browse all Zeros of Polynomial Functions questions for NY Regents Algebra II, or explore more Mathematics topics.
Related questions
Apply Descartes' Rule of Signs to f(x) = x to the fourth - 3x cubed + 2x squared + x - 6. For f(x) = 3x cubed + 2x squared - 7x + 4, which value is NOT a possible rational zero?Divide f(x) = x cubed - 4x squared + 2x + 7 by (x - 3). What remainder does the Remainder The Fundamental Theorem of Algebra guarantees a polynomial of degree above 0 has at least