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Find the number that must be added to each expression to form a perfect square trinomial. Then write the trinomial as a binomial squared.

Find the number that must be added to each expression to form a perfect square trinomial Then write the trinomial as a binomial squared class=

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ANSWER

Add:

[tex]( { - 12})^{2} [/tex]

The perfect square binomial is

[tex]{(x - 12)}^{2} [/tex]

EXPLANATION

The given expression is;

[tex] {x}^{2} - 24x[/tex]

Add the square of half the coefficient of x.

Thus,

[tex]( - {12})^{2} [/tex]

We add to get,

[tex]{x}^{2} - 24x + 144[/tex]

The perfect square binomial is;

[tex] {(x - 12)}^{2} [/tex]

zainebamir540

Answer:

(-12)² is the number that must be added to given expression.

Step-by-step explanation:

We have given a expression.

x²-24x+ ______

We have to find missing number so that the expression become a perfect trinomial.

We use method of perfect square to solve this.

Adding  half of the -24 to above equation , we have

x²-24x+(-12)²

x²+2(x)(-12)+(-12)²

(x-12)² which is perfect square .

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