Question

Please help

Answer 1

(complete the square)

Answer 2

When you have an polynomial to complete the square, and the coefficient of the x^2 term is 1, like you have, all you need to do is this:
1. Divide the x-term coefficient by 2.
2. Square it.
3. Add it to the polynomial.

Answer 3

Example:
Complete the square of \(x^2 -8x \)
1. Divide -8 by 2 to get -4
2. Square -4 to get 16
3. Add 16 to the given polynomial to get \(x^2 - 8x + 16\),
which can now be written as \((x - 4)^2\).

Answer 4

\[\frac{ -18 }{ 2 }^2=81\]

Answer 5

@mathstudent55 is this correct?

Answer 6

You did it correctly but wrote it incorrectly.
You meant:
\(\left(-\dfrac{18}{2}\right)^2 = (-9)^2 = 81\)

Answer 7

Now you add 81 to the given expression.
The polynomial \(x^2 - 18x + 81 \) is the square of the binomial \(x - 9\).