Factor x^2 + 2x - 3
Factor the polynomial x^2 + 2x - 3 completely.
Answer:
=
Step-by-Step Solution
Step 1
Identify Polynomial
x^2 + 2x - 3
Step 2
Quadratic Coefficients
a = 1, b = 2, c = -3
Step 3
AC Method
Find two numbers that multiply to a×c = 1 × -3 = -3
and add to b = 2
AC Method for factoring
Step 4
Find Factors
Numbers: -1 and 3
-1 × 3 = -3 ✓
-1 + 3 = 2 ✓
Step 5
Final Answer
(x - 1)(x + 3)