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ACTIVITY 3
ctorizing Trinomials in the form: x² + bx + c
x² + bx + c
Find two integers, r and s, whose product is c and whose sum is b to rewrite
the trinomial as:
Factorizing x² + 5x + 6
x² + rx + sx + c
3.1.1 What is the value of b and c in the trinomial?



Answer :

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.