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

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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

y^2 - 24y + \_\_\_\_\_

Identify Values: Identify the values of $a$ , $b$ , and $c$ in the quadratic expression $y^2 − 24y + \_$ . $\newline$ Leading coefficient ( $a$ ): $1$ $\newline$ Coefficient of linear term ( $b$ ): $-24$ $\newline$ Constant ( $c$ ): $?$
Complete the Square: Determine the number needed to complete the square. $\newline$ To complete the square for $y^2 - 24y$ , add $(-\frac{24}{2})^2$ . $\newline$ Perfect square quadratic: $y^2 - 24y + (-\frac{24}{2})^2$
Calculate Missing Value: Calculate $(-\frac{24}{2})^2$ to find the missing value in $y^2 − 24y + \_\_\_$ . $\newline$ $(-\frac{24}{2})^2$ $\newline$ $= (-12)^2$ $\newline$ $= 144$ $\newline$ Missing value: $144$

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