multiply the polynomials using the distributive property and combine like terms.

\(x + 6)(x + 5)\

Question

multiply the polynomials using the distributive property and combine like terms.

\(x + 6)(x + 5)\

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", "Distributive Property with Polynomials", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "Polynomial Multiplication", "Distributive Property with Polynomials", "Polynomial Simplification" ] } ## Apply the distributive property Using the *Distributive Property with Polynomials* and *Polynomial Multiplication* knowledge points $$ \begin{aligned} (x+6)(x+5) &= x(x+5) + 6(x+5) \ &= x^2 + 5x + 6x + 30 \end{aligned} $$ ## Combine like terms Using the *Polynomial Simplification* knowledge point $$ \begin{aligned} x^2 + (5x + 6x) + 30 &= x^2 + (5+6)x + 30 \ &= x^2 + 11x + 30 \end{aligned} $$ $x^2 + 11x + 30$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Combine like terms

Answer: