Question

write the factored form of each

1. ( x^2 + 15x + 44 )

Explanation:

Step1: Identify factors of 44

We need two numbers that multiply to 44 and add up to 15. The factors of 44 are 1 & 44, 2 & 22, 4 & 11. Among these, 4 and 11 add up to 15 (since \(4 + 11 = 15\)).

Step2: Factor the quadratic

For the quadratic \(x^{2}+15x + 44\), we can write it as a product of two binomials \((x + a)(x + b)\) where \(a\) and \(b\) are the two numbers we found (4 and 11). So, \(x^{2}+15x + 44=(x + 11)(x + 4)\).

Answer:

\((x + 11)(x + 4)\)