factor this trinomial completely -6x^2+26x+20
To factor the trinomial -6x^2 + 26x + 20, we first need to find two numbers that multiply to -6 * 20 = -120 and add up to 26.
The two numbers that fit these criteria are 30 and -4.
Now, rewrite the middle term 26x as 30x - 4x:
-6x^2 + 30x - 4x + 20
Factor by grouping:
-2x(3x - 10) + 2(3x - 10)
Now factor out the common binomial:
(3x - 10)(-2x + 2)
Therefore, the trinomial -6x^2 + 26x + 20 factors completely to (3x - 10)(-2x + 2).