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# Factoring Trinomials **6) Circle the trinomial that meets the criteria:** The image shows a list of trinomials and some multiple choice questions for students to evaluate which one meets certain criteria related to factoring. The criteria are probably about factoring the trinomial using integer...

# Factoring Trinomials **6) Circle the trinomial that meets the criteria:** The image shows a list of trinomials and some multiple choice questions for students to evaluate which one meets certain criteria related to factoring. The criteria are probably about factoring the trinomial using integer coefficients, which is not visible. **7) Factor each trinomial:** The image shows several factoring problems, along with the work to find the factored form of trinomials. * **4x² + 25x + 25:** (4x + 5)(x + 5) * **6x² + 3x − 108:** 3(2x² + x − 36) = 3(2x - 9)(x + 4) * **5x² − 37x + 14:** (5x − 2)(x − 7) * **Bx² − 40x + 18:** This one is not factored, but there's work shown. * **20x² + 13x + 2:** This one is not factored, but there's work shown. * This is a list of more polynomials, the factoring and the corresponding steps to solve them. **8) Which of the following is unfactorable? Explain your choice:** The image shows m² - 9m + 14 = (m-2)(m-7) and asks a question to determine if a given polynomial can be factored or if it is unfactorable. The answer and the reason are given in the image. * **m² − 9m + 14:** Easily factorable as (m - 2)(m - 7). * **x² + 6x − 2:** Not factorable using integer coefficients. * **b² − b − 30:** Factorable as (6-6)(b+5). This is also an example of unfactorable polynomials.