In the given trinomial x² + 5x + 6, the values of b and c are needed to factorize it. To find these values, we look at the coefficients of x in the trinomial:
1. The value of b is the coefficient of x, which in this case is 5.
2. The value of c is the constant term in the trinomial, which is 6.
Therefore, in the trinomial x² + 5x + 6, the value of b is 5 and the value of c is 6. These values are crucial when factorizing trinomials in the form x² + bx + c. By identifying b and c, we can proceed to find two integers, r and s, whose product is c (6) and whose sum is b (5) to rewrite the trinomial for factorization.
By understanding the values of b and c in the trinomial, we can then apply the necessary steps to factorize it correctly and efficiently.