7.5 factoring trinomials quiz

which trinomial factors to be $(x + 3)(x + 7)$?

$x^2 + 4x + 21$
$x^2 + 10x - 21$
$x^2 + 21x + 10$
$x^2 + 10x + 21$

Question

7.5 factoring trinomials quiz

which trinomial factors to be $(x + 3)(x + 7)$?

$x^2 + 4x + 21$
$x^2 + 10x - 21$
$x^2 + 21x + 10$
$x^2 + 10x + 21$

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", "Factoring Polynomials" ] } ## Identify the given expression Using the *Multiplying Polynomials* knowledge point $$ (x + 3)(x + 7) $$ ## Expand the binomials Using the *Multiplying Polynomials* knowledge point $$ \begin{aligned} (x + 3)(x + 7) &= x(x + 7) + 3(x + 7) \ &= x^2 + 7x + 3x + 21 \end{aligned} $$ ## Combine like terms Using the *Multiplying Polynomials* knowledge point $$ x^2 + (7 + 3)x + 21 = x^2 + 10x + 21 $$

(A) $x^2+4x+21$

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

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

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

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given expression

Expand the binomials

Combine like terms

Answer: