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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. $\newline$ $v^2 + 14v + \underline{\hspace{3em}}$

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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

v^2 + 14v + \underline{\hspace{3em}}

Identify values of $a$ , $b$ , $c$ : Identify the values of $a$ , $b$ , and $c$ in the polynomial $v^2 + 14v + ?$ by comparing it to the standard quadratic form $ax^2 + bx + c$ . $\newline$ $a = 1$ $\newline$ $b = 14$ $\newline$ $b$ $0$
Determine completion value: Determine the value needed to complete the square. To complete the square of $v^2 + 14v$ , add $(b/2)^2$ to the expression. $\newline$ Perfect square quadratic: $v^2 + 14v + (14/2)^2$
Calculate missing number: Calculate $(\frac{14}{2})^2$ to find the missing number in $v^2 + 14v +$ _____. $\newline$ $(\frac{14}{2})^2$ $\newline$ = $(7)^2$ $\newline$ = $49$ $\newline$ Missing number: $49$

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