Question

Solve for the roots of each Polynomial Equation.

1. x² + 2x - 8=0
2. x³ + 4x² - x - 4=0
3.x³ + 10x² + 23x + 14=0​

Answer 1

Answer:

Example 1.

2x2 - 5x - 12 = 0.

(2x + 3)(x - 4) = 0.

2x + 3 = 0 or x - 4 = 0.

x = -3/2, or x = 4.

Square Root Principle

If x2 = k, then x = ± sqrt(k).

Example 2.

x2 - 9 = 0.

x2 = 9.

x = 3, or x = -3.