Question

directions: factor each 1. $x^2 + 5x + 6$

Explanation:

Step1: Find two numbers that multiply to 6 and add to 5.

The numbers are 2 and 3, since \(2\times3 = 6\) and \(2 + 3=5\).

Step2: Rewrite the middle term using these numbers.

\(x^{2}+2x + 3x+6\)

Step3: Group the terms and factor by grouping.

\((x^{2}+2x)+(3x + 6)=x(x + 2)+3(x + 2)\)

Step4: Factor out the common binomial factor.

\((x + 2)(x + 3)\)

Answer:

\((x + 2)(x + 3)\)