which factors can be multiplied together to make the trinomial 5x² + 8x - 4? select two options. (x + 1) (2x…

Explanation:

Step1: Factor the trinomial

We use the AC - method for factoring (ax^{2}+bx + c) (here (a = 5), (b=8), (c=-4)). First, find (ac=5\times(-4)=-20). We need two numbers that multiply to (-20) and add up to (8). The numbers are (10) and (- 2). So, (5x^{2}+8x - 4=5x^{2}+10x-2x - 4).

Step2: Group the terms

Group the terms: ((5x^{2}+10x)+(-2x - 4)=5x(x + 2)-2(x + 2)).

Step3: Factor out the common factor

Factor out ((x + 2)) to get ((5x - 2)(x + 2)).

Answer:

C. ((x + 2)), E. ((5x - 2))