Identify b and c in the trinomial x2 + 5x + 6.

The general form of a quadratic trinomial is $ax^2 + bx + c$.
Comparing $x^2 + 5x + 6$ with $ax^2 + bx + c$:
$a = 1$
$b = 5$
$c = 6$

We need two integers that multiply to $c = 6$ and add up to $b = 5$.
Let's list factors of 6:

• $1 \times 6 = 6$, Sum: $1 + 6 = 7$
• $2 \times 3 = 6$, Sum: $2 + 3 = 5$
• $(-1) \times (-6) = 6$, Sum: $(-1) + (-6) = -7$
• $(-2) \times (-3) = 6$, Sum: $(-2) + (-3) = -5$

The two integers are 2 and 3.

The two integers are $2 \text{ and } 3$.