Respuesta :

zeshan
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 :

By multiplying (5x - 2) and (x + 2), the given trinomial will be obtain as follow. 
 
(5x - 2) * (x + 2) = (5x * x) + (5x * 2) - (2 * x) - (2 * 2)
=  5x^2 + 10x - 2x - 4
5x^2 + 8x - 4

Answer:

Multiplying [tex](5x+2)[/tex] and [tex](x+2)[/tex] we can get the trinomial [tex]5x^2+8x-4[/tex].

Step-by-step explanation:

The given trinomial is,

[tex]=5x^2+8x-4[/tex]

By middle term factorization,

[tex]=5x^2+10x-2x-4[/tex]

[tex]=5x(x+2)-2(x+2)[/tex]

[tex]=(5x+2)(x+2)[/tex]

Therefore, multiplying [tex](5x+2)[/tex] and [tex](x+2)[/tex] we can get the trinomial [tex]5x^2+8x-4[/tex].