Question

completely factor the trinomial, if possible.

\\12x^2 + 5x - 3\\

answer
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not factorable

Explanation:

Identify coefficients of the trinomial

Using the Factoring Trinomials knowledge point

$$
LATEXBLOCK0
$$

Find factors with given sum and product

Using the Finding Factors with Given Sum and Product knowledge point

$$
LATEXBLOCK1
$$

Rewrite and group the terms

Using the Trinomial Factoring by Grouping knowledge point

$$
LATEXBLOCK2
$$

Factor out common binomial

Using the Trinomial Factoring by Grouping knowledge point

$$
LATEXBLOCK3
$$

Answer:

\((3x - 1)(4x + 3)\)