Questions: Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. j^2 + 4j + □

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
j^2 + 4j + □
Transcript text: Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. \[j^{2}+4 j+\square\]
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Solution

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Complete the square for the quadratic expression j2+4j+ j^{2} + 4j + \square .

Identify the coefficient of the linear term.

The coefficient of j j is 4 4 .

Calculate half of the coefficient of the linear term.

Half of 4 4 is 2 2 .

Square the result to find the constant term.

Squaring 2 2 gives 4 4 .

The number that makes the polynomial a perfect-square quadratic is 4 \boxed{4} .

The number that completes the square is 4 \boxed{4} .

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