factor the trinomial below
24x^2-49x-40
To factor the trinomial 24x^2 - 49x - 40, we need to find two numbers that multiply to 24*(-40) = -960 and add up to -49.
The two numbers are -60 and 16, since -60 * 16 = -960 and -60 + 16 = -49.
So, we can rewrite the trinomial as:
24x^2 - 60x + 16x - 40
Now we can factor by grouping:
8x(3x - 5) + 8(3x - 5)
Using the Distributive Property:
(8x + 8)(3x - 5)
Therefore, the factored form of the trinomial 24x^2 - 49x - 40 is:
(8x + 8)(3x - 5).