7.3 multiplying polynomials quiz

simplify: $(x + 6)(x + 2)$

$\bigcirc$ $x^2 + 4x + 12$
$\bigcirc$ $x^2 + 8x + 12$
$\bigcirc$ $x^2 + 12x + 12$
$\bigcirc$ $x^2 + 8x + 8$

Question

7.3 multiplying polynomials quiz

simplify: $(x + 6)(x + 2)$

$\bigcirc$ $x^2 + 4x + 12$
$\bigcirc$ $x^2 + 8x + 12$
$\bigcirc$ $x^2 + 12x + 12$
$\bigcirc$ $x^2 + 8x + 8$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Multiplying Polynomials" ], "new_concepts": [], "current_concepts": [ "Multiplying Polynomials" ] } ## Expand the binomials Using the *Multiplying Polynomials* knowledge point $$ (x + 6)(x + 2) = x(x + 2) + 6(x + 2) = x^2 + 2x + 6x + 12 $$ ## Combine like terms Using the *Multiplying Polynomials* knowledge point $$ x^2 + (2x + 6x) + 12 = x^2 + 8x + 12 $$

(A) $x^2 + 4x + 12$

(B) $x^2 + 8x + 12$

(C) $x^2 + 12x + 12$

(D) $x^2 + 8x + 8$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Multiplying Polynomials" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Expand the binomials

Combine like terms

Answer: