What are the factors of the given trinomial?

Question

2x^2 - 6x - 20

Answer 1

The factors of the trinomial 2x^2 - 6x - 20 can be found by factoring it completely.

First, we can factor out the greatest common factor (GCF), which is 2.
2(x^2 - 3x - 10)

Next, we need to find two numbers that multiply to -10 and add to -3.
The numbers are -5 and 2.

So, we can rewrite the expression as:
2(x - 5)(x + 2)

Therefore, the factors of the trinomial 2x^2 - 6x - 20 are 2(x - 5)(x + 2).