Question 11 Rewrite x^2+10x+8 in the form (x-h)^2+k by completing the square. (x-5)^2+17 (x+5)^2+17 (x-5)^2-17 (x+5)^2-17

## Step 1: Completing the Square<br />### To rewrite the quadratic expression $x^2 + 10x + 8$ in the form $(x-h)^2 + k$, we complete the square. We take half of the coefficient of the $x$ term (which is 10), square it $(10/2)^2 = 5^2 = 25$, and add and subtract this value within the expression.<br /><br />## Step 2: Rewriting the Expression<br />### We rewrite the expression as follows: $x^2 + 10x + 25 - 25 + 8$. This allows us to group the first three terms as a perfect square: $(x+5)^2 - 25 + 8$.<br /><br />## Step 3: Simplification<br />### Finally, we simplify the constant terms: $(x+5)^2 - 17$.