current objective
factor a polynomial by grouping

question
factor $q^2 - 2q + 6q - 12$ by grouping.

provide your answer below:

Question

current objective
factor a polynomial by grouping

question
factor $q^2 - 2q + 6q - 12$ by grouping.

provide your answer below:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Factoring by Grouping Four Terms", "Greatest Common Factor Factoring" ], "new_concepts": [], "current_concepts": [ "Factoring by Grouping Four Terms", "Greatest Common Factor Factoring" ] } ## Group the terms Using the *Factoring by Grouping Four Terms* knowledge point $$ (q^2 - 2q) + (6q - 12) $$ ## Factor out the GCF from each group Using the *Greatest Common Factor Factoring* knowledge point $$ \begin{aligned} q^2 - 2q &= q(q - 2) \ 6q - 12 &= 6(q - 2) \end{aligned} $$ ## Factor out the common binomial Using the *Factoring by Grouping Four Terms* knowledge point $$ (q + 6)(q - 2) $$ Factor $q^2 - 2q + 6q - 12$ by grouping. Provide your answer below: $(q + 6)(q - 2)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Factoring by Grouping Four Terms" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Group the terms

Factor out the GCF from each group

Factor out the common binomial

Answer: