Final answer:
To factor the trinomial 5x²-26x-241, we need to find two binomials that multiply together to give us the trinomial. The factored form of the trinomial is (5x - 1)(x + 241).
Step-by-step explanation:
To factor the trinomial 5x²-26x-241, we need to find two binomials that multiply together to give us the trinomial.
We can start by looking for two numbers that multiply together to give us -241 and add together to give us -26. After some trial and error, we find that -1 and 241 satisfy these conditions.
Therefore, the factored form of the trinomial is (5x - 1)(x + 241).