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bill wants to factor x2 + 8x + 16 by grouping; however, sara says it is a special product and can
factor a different way. using complete sentences, explain and demonstrate how both methods will result in the same factors

To explain this specific problem, first, x² + 8x + 16 is a perfect square trinomial. 

If you have an idea in completing the square, then you’d be able to know how to make a perfect square based on the equation x² + bx  by getting the half of b then squaring the answer, and then adding it.

With regards to this, half of 8 is 4 and 16 when it’s squared, which is what we got. Since this a perfect square trinomial, we can factor this by getting the half of b and we can get (x + 4)².

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.