Question

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

f(x) = 8x³ + 4x² − 6x − 36; g(x) = x + 2

Answer 1

Step 1: Convert g(x) to (x − a) form

x + 2 = 0

x = −2

Step 2: Evaluate the function:

We evaluate f(x) at x = −2

f(−2) = 8(−2)³ + 4(−2)² − 6(−2) − 36

= 8(−8) + 4(4) − 6(−2) − 36

= −64 + 16 + 12 − 36

= −72

Since f(−2) ≠ 0

Therefore, g(x) is not a factor of f(x).