If (x + 2) and (x - 3) are the factors of x2 + k1x + k2, then:
Explanation:
If (x + 2) and (x - 3) are the factors of x2 + k1x + k2, then for x = -2 and 3, the given expression should be zero.
∴ (-2)2 + (-2)k1 + k2 = 0, and 32 + 3k1 + k2 = 0
Solving the two equations above we get,
k1 = -1 and k2 = -6
Hence, option (b).