select the two binomials that are factors of this trinomial x2+10x+16

So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

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

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: [tex]x(x+2)+8(x+2)[/tex]

Now you can rewrite this as [tex](x+8)(x+2)[/tex] , which is your final answer.