The number that has to fill the blank to make the trinomial a <em>perfect square</em> is 72x
<h3>Perfect square trinomial </h3>
From the question, we are to determine the number that makes the given trinomial a perfect square
The given trinomial is
9x² + ___+ 144
For any given trinomial ax² + bx + c, the trinomial is a perfect square if
b² = 4ac
In given trinomial,
a = 9, c = 144, b = ?
Now, we will determine the value of b
Putting the values into the equation,
b² = 4ac
b² = 4×9×144
b² = 5184
b = √5184
b = 72
Thus,
The trinomial will become 9x² + 72x+ 144
Hence, the number that has to fill the blank to make the trinomial a <em>perfect square</em> is 72x
Learn more on Perfect square trinomial here: brainly.com/question/12306247
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