Question

1Complete the square. Fill in the number that makes the polynomial given below, a perfect-square quadratic.x² - 12x+What would be written in the box

Answer 1

Given the equation:

x² - 12x +

Using completing the square, we are to find the number that will make the above polynomial a perfect-square quadratic.

to get the number that will make the polynomial a perfect square, we consider this form:

x² + bx

To make the polynomial a perfect square quadratic, we divide b by 2 and square it.

That will be:

(b/2)²

b = 12

= (12/2)²

= 6²

= 36

We now have:

x² - 12x + 36 (This makes the polynomial a perfect square quadratic).