m2 + 8m +7m² + 5m + 6m2 + 10m +9m2 – 6m +8m2 - 8m + 12m2 + 11m + 24How do I factor each trinomial ??

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Answer:m² + 8m + 7 = (m + 1) (m + 7)m² – 6m + 8 = (m – 2) (m – 4)Step-by-step explanation:If a trinomial ax² + bx + c is "factorable", you can use the AC method.1. Multiply a and c.2. Find factors of ac that add up to b.3. Divide the factors by a and reduce.4. The numerators are the constants, the denominators are the coefficients.For example:m² + 8m + 7a = 1, b = 8, c = 71. ac = 1×7 = 72. Factors of 7 that add up to 8 are 1 and 7.3. Divide by 1: 1/1 and 7/14. The factors are (m + 1) and (m + 7).Therefore, m² + 8m + 7 = (m + 1) (m + 7).Let's try one with a negative coefficient:m² – 6m + 8a = 1, b = -6, c = 81. ac = 1×8 = 82. Factors of 8 that add up to -6 are -2 and -4.3. Divide by 1: -2/1 and -4/14. The factors are (m – 2) and (m – 4)Therefore, m² – 6m + 8 = (m – 2) (m – 4).You can check your answers by distributing.
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