Question

Determine whether g(x) is a factor of f(x) or not:

f(x) = x² − 7x + 6; g(x) = x − 6

Answer 1

Step 1: Convert g(x) to (x – a) = 0

x − 6 = 0

x = 6

Step 2: Evaluate the function:

We evaluate f(x) at x = 6

f(6) = 6² − 7(6) + 6

= 36 − 42 + 6

= −6 + 6

= 0

Since f(6) = 0, g(x) is a factor of f(x).