Question

What number has to fill in the blank to make this a perfect square trinomial: 9x^2 + ___+ 144

Answer 1

The number that has to fill the blank to make the trinomial a perfect square is 72x

Perfect square trinomial

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 perfect square is 72x

Learn more on Perfect square trinomial here: brainly.com/question/12306247

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