Practice Test

Question 9 • Integrated Math II CR SUSD (EX)

Which diagram represents the factors of m squared minus 10 m plus 16 ?

Answer

Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 2' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 2 m' Row 3: Column 1, 'negative 8'; Column 2, 'negative 8 m'; Column 3, '16'

Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 8' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 8 m' Row 3: Column 1, '2'; Column 2, '2 m'; Column 3, '16'

Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 6' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 6 m' Row 3: Column 1, '4'; Column 2, '4 m'; Column 3, '16'

Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 4' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 4 m' Row 3: Column 1, 'negative 6'; Column 2, 'negative 6 m'; Column 3, '16'

Explanation

Find two numbers whose product is 16 and whose sum is −10: the numbers are −2 and −8. Thus, m² − 10m + 16 = (m − 2)(m − 8). Diagram C has −2 and −8 as the factors’ constant terms, and its inner products, −2m and −8m, add to −10m.

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