Question

The diagram represents the factorization of a2+8a+12.

A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12.

What is the missing number that will complete the factorization?

6
8
12
24

Answer 1

6

Reason: In the box, the top-right entry is a×? = 6a, so ? = 6 (also 2×? = 12 gives ? = 6), so the missing number is 6.