Question

completely factor the trinomial, if possible.

\\9p^2 + 15p + 4\\

Explanation:

Identify the coefficients

We want to factor the quadratic trinomial \(9p^2 + 15p + 4\).
The standard form is \(ap^2 + bp + c\).
Here, we identify:
\(a = 9\)
\(b = 15\)
\(c = 4\)

Find two numbers with a given sum and product

Using the Finding Factors with Given Sum and Product knowledge point

$$
LATEXBLOCK0
$$

Rewrite and group the trinomial

Using the Trinomial Factoring by Grouping knowledge point

$$
LATEXBLOCK1
$$

Factor out the greatest common factor

Using the Factoring Trinomials knowledge point

$$
LATEXBLOCK2
$$

Answer:

\((3p + 4)(3p + 1)\)