Explanation

If (x + 4) is a factor, x = −4 must be a root, so the expression must vanish at x = −4. Substituting: (A) 16 + 28 + 44 = 88, (B) 16 − 28 − 44 = −56, (C) 16 + 28 − 44 = 0, (D) 16 − 28 + 44 = 32. Only option C gives zero — indeed x² − 7x − 44 = (x + 4)(x − 11). Hence the answer is C.