Factor x^2-12x-28

Problem

x2−12*x−28

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−12 and c=−28

2. Find two numbers that multiply to the constant term c=−28 and add to the linear coefficient b=−12

3. Test factor pairs of −28

• 1×−28 (sum: −27

• 2×−14 (sum: −12

• 4×−7 (sum: −3

4. Select the pair 2 and −14 since they satisfy both conditions.

5. Write the expression in factored form (x+p)*(x+q) using the identified numbers.

Final Answer

x2−12*x−28=(x+2)*(x−14)

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