Which factors can be multiplied together to make the trinomial 5x² + 8x - 4? Check all that apply.
(x + 1), (2x + 1), (x + 2), (5x + 1), (5x - 2)

Solution:

The quadratic trinomial given is 5x² + 8x - 4

By splitting up the middle term

= 5x² + 10x - 2x - 4

By grouping the terms and factoring the trinomial

= 5x(x + 2) - 2(x + 2)

= (5x - 2)(x + 2)

Therefore, the factors that can be multiplied are (5x - 2)(x + 2).

Which factors can be multiplied together to make the trinomial 5x² + 8x - 4? Check all that apply.

Summary:

The factors that can be multiplied together to make the trinomial 5x² + 8x - 4 is (5x - 2)(x + 2).