(07.03 MC) Given the following perfect square trinomial, find the missing term: __ x^2+40x+100 1 1 2 4 10

## Step 1A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In this case, we are given the trinomial , and we are asked to find the missing term that would make this a perfect square trinomial.## Step 2The general form of a perfect square trinomial is , which can be factored into \((a+b)^{2}\).## Step 3In our given trinomial, corresponds to , and corresponds to . Therefore, is and is .## Step 4The middle term of the trinomial, , corresponds to in the general form. Therefore, we can set up the equation .## Step 5Substituting and into the equation, we get , which simplifies to .## Step 6Solving for , we find that . Therefore, the missing term in the trinomial is .