Question

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

Answer 1

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

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 .

Answer 2

Add:

`( { - 12})^(2)`

The perfect square binomial is

`{(x - 12)}^(2)`

EXPLANATION

The given expression is;

`{x}^(2) - 24x`

Add the square of half the coefficient of x.

Thus,

`( - {12})^(2)`

We add to get,

`{x}^(2) - 24x + 144`

The perfect square binomial is;

`{(x - 12)}^(2)`