Question

Gain a medal!

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

Answer 1

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.

I am hoping that this answer has satisfied your query about and it will be able to help you.