Question

Which statement is NOT true of the Fundamental Theorem of Algebra for quadratic equations?*10 pointsA quadratic equation can have two real solutions (rational or irrational).A quadratic equation can have two OR three real solutions (rational or irrational).A quadratic equation can have two identical solutions (which you can also think of as one repeated solution)A quadratic equation can have two non-real complex solutions.

Answer 1

The statement that is NOT true of the Fundamental Theorem of Algebra for quadratic equations is:

"A quadratic equation can have two OR three real solutions (rational or irrational)."

A quadratic equation, which is of the form \(ax^2 + bx + c = 0\), can only have a maximum of two solutions (real or complex). It can have two distinct real solutions, one repeated real solution (which counts as two identical solutions), or two complex solutions (which are non-real). It cannot have three solutions.