Identify Structure: Identify the structure of the quadratic expression.The given expression is a quadratic in the form of k2+bk+c, where b=9 and c=18.
Find Numbers: Look for two numbers that multiply to c (18) and add up to b (9).We need to find two numbers that multiply to 18 and add up to 9. The numbers 3 and 6 satisfy these conditions because 3×6=18 and 3+6=9.
Write Binomials: Write the quadratic expression as a product of two binomials using the numbers found in Step 2.The expression can be factored as (k+3)(k+6).