Factoring QuadratictrinomialsX + 10 +25​

Answer:To factor the quadratic trinomial \(x^2 + 10x + 25\), follow these steps:1. **Identify the trinomial:** \(x^2 + 10x + 25\) is a quadratic trinomial of the form \(ax^2 + bx + c\), where \(a = 1\), \(b = 10\), and \(c = 25\).2. **Look for factors:** We need to find two numbers that multiply to \(c\) (which is 25) and add up to \(b\) (which is 10). - The factors of 25 that add up to 10 are 5 and 5.3. **Write the factors:** The trinomial can be factored as \((x + 5)(x + 5)\) or \((x + 5)^2\).Thus, the factored form of \(x^2 + 10x + 25\) is \((x + 5)^2\).

Answered by josephcarlsalazar | 2024-09-09