7.3 multiplying polynomials quiz

simplify: $(x + 7)(x + 3)$

$x^2 + 21x + 10$
$x^2 + 10x + 21$
$x^2 + 8x + 21$
$x^2 + 10x + 12$

Question

7.3 multiplying polynomials quiz

simplify: $(x + 7)(x + 3)$

$x^2 + 21x + 10$
$x^2 + 10x + 21$
$x^2 + 8x + 21$
$x^2 + 10x + 12$

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", "Distributive Property" ] } ## Apply the distributive property Using the *Multiplying Polynomials* knowledge point $$ (x + 7)(x + 3) = x(x + 3) + 7(x + 3) $$ ## Expand the terms Using the *Multiplying Polynomials* knowledge point $$ x(x + 3) + 7(x + 3) = x^2 + 3x + 7x + 21 $$ ## Combine like terms Using the *Multiplying Polynomials* knowledge point $$ x^2 + (3x + 7x) + 21 = x^2 + 10x + 21 $$

(A) $x^2 + 21x + 10$

(B) $x^2 + 10x + 21$

(C) $x^2 + 8x + 21$

(D) $x^2 + 10x + 12$

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

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Expand the terms

Combine like terms

Answer: