Test #10 - Algebra 3

The roots are -1, 6, and 5.

The roots are 6, -3, and -1.

The solutions are x = 1/4 and x = -3.

The solutions are x = -5/4 and $$\frac{i\text{sqrt}{5}}{5}$$ .

The simplified expression is 9 + 14√3.

A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

The degree is 3.

The Factor Theorem states that if a polynomial f(x) has a factor (x - c), then f(c) = 0.

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is f(c).

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler polynomials.