Question

If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)

A. M=2, n=2
B. M=-1, n=5
C. M=-2, n=-2
D. M=1, n=3

Answer 1

Answer: C. m = -2; n = -2

have:

x² + 4x + c = (x + m)(x + n)

⇔ x² + 4x + c = x² + (m + n)x + mn

⇒ m + n = 4

mn = c

=> M=-2, n=-2 arent possible

Explanation: