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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. $\newline$ $j^2 + 26j + \underline{\quad}$

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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

j^2 + 26j + \underline{\quad}

Identify values: Identify the values of $a$ , $b$ , and $c$ in the quadratic expression. $\newline$ Leading coefficient ( $a$ ): $1$ $\newline$ Coefficient of linear term ( $b$ ): $26$ $\newline$ Constant ( $c$ ): $?$
Determine value needed: Determine the value needed to complete the square. $\newline$ To complete the square for $j^2 + 26j$ , add $(\frac{b}{2})^2$ . $\newline$ Calculate $(\frac{26}{2})^2$ .
Perform calculation: Perform the calculation for $(26/2)^2$ . $(26/2)^2 = 13^2 = 169$ The value needed to complete the square is $169$ .

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