Question

completely factor the trinomial, if possible.

\\10x^2 + 66x + 36\\

answer
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not factorable

Explanation:

Factor out the greatest common factor

Using the Factoring Polynomials by GCF knowledge point

$$
LATEXBLOCK0
$$

Find factors for grouping

Using the Trinomial Factoring by Grouping knowledge point

$$
LATEXBLOCK1
$$

Rewrite and factor by grouping

Using the Trinomial Factoring by Grouping knowledge point

$$
LATEXBLOCK2
$$

Write the complete factored form

Using the Factoring Trinomials knowledge point

$$ 2(5x^2 + 33x + 18) = 2(5x + 3)(x + 6) $$

Answer:

\(2(5x + 3)(x + 6)\)