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