The perfect square trinomial is x² - 2x + 1.
Hence, the value needed to complete the square of the expression ( x² - 2x + --- ) is 1.
<h3>What value is needed to complete the square?</h3>
The quadratic expression in its standard form is;
ax² + bx + c
Given the expression in the question;
x² - 2x + ------
Compared with the standard for a quadratic expression
Let the missing value be represented by "c"
x² - 2x + c
Now, to find the value of c, we divide the coefficient of x by 2 and then square the result.
Note that, coefficient of x is b
c = ( b/2 )²
We substitute
c = ( -2/2 )²
c = ( -1 )²
c = 1
The perfect square trinomial is x² - 2x + 1.
Hence, the value needed to complete the square of the expression ( x² - 2x + --- ) is 1.
Learn more about quadratic expressions here: brainly.com/question/12356597
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