Factor each completely. \( \begin{array}{ll}\text { 1) } b^{2}+8 b+7 & \text { 2) } n^{2}-11 n+10 \\ \text { 3) } m^{2}+m-90 & \text { 4) } n^{2}+4 n-12\end{array} \)

Sure, let's factor each quadratic expression completely: 1) **\( b^{2} + 8b + 7 \)** We need two numbers that multiply to **+7** and add to **+8**. The numbers are **7** and **1**. **Factored form:** \( (b + 7)(b + 1) \) 2) **\( n^{2} - 11n + 10 \)** We need two numbers that multiply to **+10** and add to **-11**. The numbers are **-10** and **-1**. **Factored form:** \( (n - 10)(n - 1) \) 3) **\( m^{2} + m - 90 \)** We need two numbers that multiply to **-90** and add to **+1**. The numbers are **10** and **-9**. **Factored form:** \( (m + 10)(m - 9) \) 4) **\( n^{2} + 4n - 12 \)** We need two numbers that multiply to **-12** and add to **+4**. The numbers are **6** and **-2**. **Factored form:** \( (n + 6)(n - 2) \) **Summary of Factored Forms:** 1. \( (b + 7)(b + 1) \) 2. \( (n - 10)(n - 1) \) 3. \( (m + 10)(m - 9) \) 4. \( (n + 6)(n - 2) \)