Which trinomial is factored?
x2 + 3x – 6
x2 + 5x – 6
x2 + 3x – 2
x2 + x – 6

 The correct options are (B) and (D)

Step-by-step explanation: we are given the correct trinomial that can be factored.

We know that a trinomial of the form can be factored if we find two real numbers 'c' and 'd' such that

c + d = a  and  c × d = b.

Option (A) is

Here, a = 3  and  b = -6.

Since there are no 'c' and 'd' such that c + d = 3  and  c × d = -6, so this trinomial cannot be factored.

Option (B) is

Here, a = 5  and  b = -6.

Since  -6 + 1 = -5  and  -6 × 1 = -6, so this trinomial can be factored. The factorization is as follows:

Option (C) is

Here, a = 3  and  b = 2.

Since there are no 'c' and 'd' such that c + d = 3  and  c × d = -2, so this trinomial cannot be factored.

Option (D) is

Here, a = 1  and  b = -6.

Since  3 + (-2) = 1  and  3 × (-2) = -6, so this trinomial can be factored. The factorization is as follows:

Thus, Options (B) and (D) are correct.

The correct answer is D on edge.

Step-by-step explanation: