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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. $\newline$ $t^2 + 24t + \_\_\_\_$

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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

t^2 + 24t + \_\_\_\_

Identify values: Identify the values of $a$ , $b$ , and $c$ in the quadratic expression. $\newline$ Leading coefficient ( $a$ ): $1$ $\newline$ Coefficient of linear term ( $b$ ): $24$ $\newline$ Constant ( $c$ ): $?$
Determine completion value: Determine the value needed to complete the square. $\newline$ To complete the square for $t^2 + 24t$ , add $(b/2)^2$ to the expression. $\newline$ Calculate $(24/2)^2$ to find the missing value.
Perform calculation: Perform the calculation for $(24/2)^2$ . $(24/2)^2 = (12)^2 = 144$ The missing value that completes the square is $144$ .

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