Factor the trinomial below: x^{2}+-3x+-70

Answer 1

To factor the trinomial x^2 - 3x - 70, we need to find two numbers that multiply to -70 and add up to -3.

The two numbers that satisfy these conditions are -10 and 7.

So, we can rewrite the trinomial as:

x^2 - 10x + 7x - 70

Now, factor by grouping:

x(x - 10) + 7(x - 10)

(x + 7)(x - 10)

Therefore, the factored form of the trinomial x^2 - 3x - 70 is:

(x + 7)(x - 10)