Respuesta :

Answer:

C) x + 2

Step-by-step explanation:

we are given

[tex]8x^2+21x+10[/tex]

We can split 21

[tex]21=16+5[/tex]

[tex]8x^2+(16+5)x+10[/tex]

[tex]8x^2+16x+5x+10[/tex]

now, we can use grouping method

[tex](8x^2+16x)+(5x+10)[/tex]

now, we can factor it

[tex]=8x(x+2)+5(x+2)[/tex]

[tex]=(8x+5)(x+2)[/tex]

we can see that x+2 factor only maches