Question

given the quadratic expression, (x^2 + 5x + 6). what are the factors? use the keypad to enter your answer in the box. additional symbols can be found using the drop - down arrows at the top of the keypad. the factors of the expression are (□)(□).

Explanation:

Step1: Find pair summing to 5, product 6

Identify 2 and 3, since $2+3=5$ and $2\times3=6$.

Step2: Split middle term and factor

Rewrite and group: $x^2+2x+3x+6 = x(x+2)+3(x+2)$

Step3: Factor out common binomial

Extract $(x+2)$: $(x+2)(x+3)$

Answer:

$(x+2)$ $(x+3)$