Question

Factor the trinomial completely. x²+26x+59

Answer 1

To factor the trinomial x²+26x+59 completely, we can use the quadratic formula. The factored form of the trinomial is (x + 1)(x + 59).

Step-by-step explanation:

To factor the trinomial x²+26x+59 completely, we need to find two binomials that, when multiplied together, will give us the trinomial. To do this, we can use the quadratic formula or the method of factoring by grouping. Let's use the quadratic formula:

1. Identify the values of a, b, and c from the trinomial: a = 1, b = 26, c = 59
2. Plug these values into the quadratic formula: x = (-b ± √(b²-4ac)) / (2a)
3. Solve for x using the formula and simplify the square root if possible
4. Write the factored form using the solutions for x: (x - solution1)(x - solution2)

Using these steps, we can factor the trinomial x²+26x+59 as (x + 1)(x + 59).