multiply the binomials using the foil method. combine like terms.

$(x + 3)(3x + 4)$

Question

multiply the binomials using the foil method. combine like terms.

$(x + 3)(3x + 4)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Multiplication" ], "new_concepts": [ "FOIL Method" ], "current_concepts": [ "Polynomial Multiplication", "FOIL Method" ] } ## Apply the FOIL method Using the *Polynomial Multiplication* knowledge point $$ \begin{aligned} \text{First: } & (x)(3x) = 3x^2 \ \text{Outer: } & (x)(4) = 4x \ \text{Inner: } & (3)(3x) = 9x \ \text{Last: } & (3)(4) = 12 \end{aligned} $$ ## Combine the terms Using the *Polynomial Multiplication* knowledge point $$ (x+3)(3x+4) = 3x^2 + 4x + 9x + 12 $$ ## Simplify like terms Using the *Polynomial Multiplication* knowledge point $$ \begin{aligned} &4x + 9x = (4+9)x = 13x \ &3x^2 + 13x + 12 \end{aligned} $$ $3x^2 + 13x + 12$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the FOIL method

Combine the terms

Simplify like terms

Answer: