which diagram represents the factors of m² - 10m + 16 ?
which diagram represents the factors of m² - 10m + 16 ?
Answer
Explanation:
Step1: Factor the quadratic expression
We need to factor (m^{2}-10m + 16). We look for two numbers that multiply to (16) and add up to (- 10). The numbers are (-2) and (-8) since ((-2)\times(-8)=16) and (-2+( - 8)=-10). So (m^{2}-10m + 16=(m - 2)(m - 8)).
Step2: Expand the factored - form using a table
When we expand ((m - 2)(m - 8)) using a table, the first - row elements are (m) and (-8), and the first - column elements are (m) and (-2). The table will have (m\times m=m^{2}), (m\times(-8)=-8m), ((-2)\times m=-2m), and ((-2)\times(-8) = 16).
Answer:
The second diagram (the one with (m), (-8) in the first row and (m), (2) in the first column) represents the factors of (m^{2}-10m + 16).