I'm not sure how to do this problem. **Complete the Square:**What term is needed in the resulting perfect square trinomial?\[ x^2 - 2x + \, ? \]In this exercise, you will determine the term required to complete the square for the quadratic expression $ x^2 - 2x $. Completing the square is a method used to transform a quadratic expression into a perfect square trinomial, which can then be easily factored. **Steps to Complete the Square:**1. **Identify the Coefficient of $ x $:** Take the coefficient of the linear term $ x $ (in this case, $-2$) and divide it by 2. 2. **Square the result:** Square the number obtained in step 1. 3. **Add and Subtract this Number:** Add and subtract the squared number from the expression.In this problem:$-2 / 2 = -1$ $(-1)^2 = 1$Thus, the term needed to complete the square is $1$. The expression can be rewritten as a perfect square trinomial: \[ x^2 - 2x + 1 = (x - 1)^2 \]

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Answered: ComPlete the Square. what term is…

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ComPlete the Square. what term is needed in the resulting in then Perkect Sauare Trinomial? xa-22+?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

I'm not sure how to do this problem.

**Complete the Square:**

What term is needed in the resulting perfect square trinomial?

\[ x^2 - 2x + \, ? \]

In this exercise, you will determine the term required to complete the square for the quadratic expression $ x^2 - 2x $. Completing the square is a method used to transform a quadratic expression into a perfect square trinomial, which can then be easily factored.

**Steps to Complete the Square:**

1. **Identify the Coefficient of $ x $:** Take the coefficient of the linear term $ x $ (in this case, $-2$) and divide it by 2.

2. **Square the result:** Square the number obtained in step 1.

3. **Add and Subtract this Number:** Add and subtract the squared number from the expression.

In this problem:

$-2 / 2 = -1$
$(-1)^2 = 1$

Thus, the term needed to complete the square is $1$. The expression can be rewritten as a perfect square trinomial:

\[ x^2 - 2x + 1 = (x - 1)^2 \]

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