Question

The Fundamental Theorem of Algebra reduces a polynomial into a bunch of terms.

Answer 1

The Fundamental Theorem of Algebra states that every polynomial equation with complex coefficients and degree greater than zero has at least one complex root. The polynomial can be reduced into linear factors.

Step-by-step explanation:

The Fundamental Theorem of Algebra is a fundamental result in mathematics that states that every polynomial equation with complex coefficients and degree greater than zero has at least one complex root. This means that a polynomial with degree n can be written as the product of n linear factors.

For example, consider the polynomial equation: x^2 + 3x + 2 = 0

By factoring the equation, we can find the roots: (x + 1)(x + 2) = 0

So, the polynomial can be reduced into two terms, (x + 1) and (x + 2), which are the linear factors.