Question

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

Answer 1

Answer: (x+8) and (x+2)

Explanation:

Answer 2

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:

`x^2+2x+8x+16`

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

Now you can rewrite this as
`(x+8)(x+2)` , which is your final answer.