Factor x^2 + 7x + 12
Factor the polynomial x^2 + 7x + 12 completely.
Answer:
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Step-by-Step Solution
Step 1
Identify Polynomial
x^2 + 7x + 12
Step 2
Quadratic Coefficients
a = 1, b = 7, c = 12
Step 3
AC Method
Find two numbers that multiply to a×c = 1 × 12 = 12
and add to b = 7
AC Method for factoring
Step 4
Find Factors
Numbers: 3 and 4
3 × 4 = 12 ✓
3 + 4 = 7 ✓
Step 5
Final Answer
(x + 3)(x + 4)