directions: factor each polynomial. look for a gcf first.
10. (8x^2 - 2x - 10)
11. (6a^2 + 9a - 27)
12. (60x^2 + 4x - 8)
13. (16x^2 - 24x + 8)
14. (20x^2 + 55x + 30)
15. (10x^2 - 32x + 24)

Question

Accepted Answer

{ "quality": "clear", "question_count": 6, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Factoring Polynomials", "Greatest Common Factor" ], "new_concepts": [], "current_concepts": [ "Factoring Polynomials", "Greatest Common Factor" ] } ## Factor polynomials 10, 11, and 12 $$ \begin{aligned} \text{10. } & 8x^2 - 2x - 10 = 2(4x^2 - x - 5) = 2(4x - 5)(x + 1) \ \text{11. } & 6a^2 + 9a - 27 = 3(2a^2 + 3a - 9) = 3(2a - 3)(a + 3) \ \text{12. } & 60x^2 + 4x - 8 = 4(15x^2 + x - 2) = 4(5x + 2)(3x - 1) \end{aligned} $$ ## Factor polynomials 13, 14, and 15 $$ \begin{aligned} \text{13. } & 16x^2 - 24x + 8 = 8(2x^2 - 3x + 1) = 8(2x - 1)(x - 1) \ \text{14. } & 20x^2 + 55x + 30 = 5(4x^2 + 11x + 6) = 5(4x + 3)(x + 2) \ \text{15. } & 10x^2 - 32x + 24 = 2(5x^2 - 16x + 12) = 2(5x - 6)(x - 2) \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 10 | $8x^2 - 2x - 10$ | $2(4x - 5)(x + 1)$ | | 11 | $6a^2 + 9a - 27$ | $3(2a - 3)(a + 3)$ | | 12 | $60x^2 + 4x - 8$ | $4(5x + 2)(3x - 1)$ | | 13 | $16x^2 - 24x + 8$ | $8(2x - 1)(x - 1)$ | | 14 | $20x^2 + 55x + 30$ | $5(4x + 3)(x + 2)$ | | 15 | $10x^2 - 32x + 24$ | $2(5x - 6)(x - 2)$ | { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Polynomials" ] }

No.	Problem	Answer
11	\(6a^2 + 9a - 27\)	\(3(2a - 3)(a + 3)\)
12	\(60x^2 + 4x - 8\)	\(4(5x + 2)(3x - 1)\)
13	\(16x^2 - 24x + 8\)	\(8(2x - 1)(x - 1)\)
14	\(20x^2 + 55x + 30\)	\(5(4x + 3)(x + 2)\)
15	\(10x^2 - 32x + 24\)	\(2(5x - 6)(x - 2)\)

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QUESTION IMAGE

Question

Explanation:

Factor polynomials 10, 11, and 12

Factor polynomials 13, 14, and 15

Answer: