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)

Answer:x+25x-2Step-by-step explanation:There is only 2 binomials that will multiply together that will give the given trinomial. ax^2+bx+c5x^2+8x-4Goal: Find two numbers that multiply to be a*c and add up to be b.We will use this goal to factor our trinomial.a=5b=8c=-4--------a*c=-20b=8Can you think of two numbers that multiply to be -20 and add up to be 8? I hope you said 10 and -2.So we are going to replace 8x with -2x+10x.5x^2+8x-45x^2-2x+10x-4We are going to pair the first terms together and the second two terms together like so:(5x^2-2x)+(10x-4)Now we are going to factor each pair.x(5x-2)+2(5x-2)(5x-2)(x+2)So (x+2) is a factor of the given trinomial and (5x-2) is a factor of the given trinomial.