# Root of a function: Quiz

Question 1: Many real polynomials of even degree do not have a real root, but the ________ states that every polynomial of degree n has n complex roots, counted with their multiplicities.
Fundamental theorem of Galois theoryFundamental theorem of algebraFundamental theorem of calculusGroup (mathematics)

Question 2: In ________, a root (or a zero) of a real-, complex- or generally vector-valued function ƒ is a member x of the domain of ƒ such that ƒ(x) vanishes at x, that is,
Mathematical logicMathematicsSet theoryGeometry

Question 3: The concept of ________ was developed to handle the roots of quadratic or cubic equations with negative discriminants (that is, those leading to expressions involving the square root of negative numbers).
Vector spaceReal numberComplex numberField (mathematics)

Question 4: Finding roots of certain functions, especially ________, frequently necessitates the use of specialised techniques (for example, Newton's method).
Field (mathematics)PolynomialPrime numberAlgebra

Question 5: One of the most important unsolved problems in mathematics concerns the location of the roots of the ________.
Dirichlet eta functionRiemann zeta functionRiemann hypothesisPrime number

Question 6: If the function is mapping from ________ to real numbers, its zeros are the points where its graph meets the x-axis.
Transcendental numberIrrational numberReal numberComplex number