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

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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

p^2 - 4p + \_\_\_\_\_

Identify values of $a$ , $b$ , $c$ : Identify the values of $a$ , $b$ , and $c$ in the quadratic expression $p^2 − 4p + ?$ by comparing it to the standard quadratic form $ax^2 + bx + c$ .
$a = 1$
$b = -4$
$b$ $0$
Determine perfect-square quadratic: Determine the number that needs to be added to $p^2 - 4p$ to make it a perfect-square quadratic. To complete the square, add $(b/2)^2$ to the expression. $\newline$ Perfect square quadratic: $p^2 - 4p + (b/2)^2$
Calculate missing number: Calculate $(b/2)^2$ to find the missing number in $p^2 − 4p + \_\_\_\_$ . $\newline$ $(b/2)^2 = (-4/2)^2$ $\newline$ $= (-2)^2$ $\newline$ $= 4$ $\newline$ The missing number is $4$ .

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