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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. $\newline$ $q^2 + 4q + \_\_\_\_$

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Complete the square

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Q. Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

q^2 + 4q + \_\_\_\_

Identify values: Identify the values of $a$ , $b$ , and $c$ in the polynomial $q^2 + 4q + ?$ by comparing it to the standard quadratic form $ax^2 + bx + c$ . $\newline$ $a = 1$ $\newline$ $b = 4$ $\newline$ $c = ?$
Determine completion: Determine the value needed to complete the square. To complete the square of $q^2 + 4q$ , add $(b/2)^2$ to the expression. $\newline$ Perfect square quadratic: $q^2 + 4q + (4/2)^2$
Calculate missing number: Calculate $(\frac{4}{2})^2$ to find the missing number in $q^2 + 4q +$ _____. $\newline$ $(\frac{4}{2})^2$ $\newline$ $= (2)^2$ $\newline$ $= 4$ $\newline$ Missing number: $4$

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