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question factor \\(x^2 - 6x + 3x - 18\\) by grouping. provide your answ…

Question

question

factor \\(x^2 - 6x + 3x - 18\\) by grouping.

provide your answer below:

Explanation:

Group the terms into two pairs

Using the Factoring by Grouping knowledge point

$$ (x^2 - 6x) + (3x - 18) $$

Factor out the greatest common factor from each pair

Using the Greatest Common Factor Factoring knowledge point

$$ x(x - 6) + 3(x - 6) $$

Factor out the common binomial factor

Using the Factoring by Grouping knowledge point

$$ (x - 6)(x + 3) $$

Answer:

\((x - 6)(x + 3)\)