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

\(x + 2)(2x - 1)\

Question

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

\(x + 2)(2x - 1)\

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": [ "FOIL Method", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "FOIL Method", "Polynomial Multiplication", "Polynomial Simplification" ] } ## Apply the FOIL method Using the *FOIL Method* knowledge point $$ \begin{aligned} (x+2)(2x-1) &= \text{First} + \text{Outer} + \text{Inner} + \text{Last} \ &= (x)(2x) + (x)(-1) + (2)(2x) + (2)(-1) \ &= 2x^2 - x + 4x - 2 \end{aligned} $$ ## Combine like terms Using the *Polynomial Simplification* knowledge point $$ \begin{aligned} 2x^2 + (-x + 4x) - 2 &= 2x^2 + 3x - 2 \end{aligned} $$ Multiply the binomials using the FOIL method. Combine like terms. $$(x + 2)(2x - 1) =$$ $2x^2 + 3x - 2$ { "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 like terms

Answer: