factor the polynomial.

(x^2 + 3x - 10 =)

Question

factor the polynomial.

(x^2 + 3x - 10 =)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Factoring" ], "new_concepts": [], "current_concepts": [ "Quadratic Factoring", "Quadratic Equations" ] } ## Find factors of the constant term that sum to the linear coefficient $$ \begin{aligned} &\text{Product} = -10\ &\text{Sum} = 3\ &\text{Factors} = 5 \text{ and } -2 \end{aligned} $$ ## Write the factored form of the quadratic expression $$ x^2 + 3x - 10 = (x + 5)(x - 2) $$ Factor the polynomial. $x^2+3x-10 =$ $(x + 5)(x - 2)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Factoring" ] }

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Question

Explanation:

Find factors of the constant term that sum to the linear coefficient

Write the factored form of the quadratic expression

Answer: