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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. $\newline$ $d^2 - 6d + \_\_\_\_\_$

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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

d^2 - 6d + \_\_\_\_\_

Identify values of $a$ , $b$ , $c$ : Identify the values of $a$ , $b$ , and $c$ in the polynomial $d^2 − 6d + ?$ by comparing it to the standard quadratic form $ax^2 + bx + c$ . $\newline$ $a = 1$ $\newline$ $b = -6$ $\newline$ $b$ $0$
Calculate $(\frac{b}{2})^2$ : To complete the square, we need to add $(\frac{b}{2})^2$ to the polynomial $d^2 − 6d$ . Calculate $(\frac{b}{2})^2$ using the value of b from the previous step. $\newline$ $(-\frac{6}{2})^2 = (-3)^2 = 9$
Complete the square: The number that completes the square is $9$ . The polynomial becomes a perfect-square quadratic when we add this number: $d^2 - 6d + 9$ .

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