Chapter 6: Q 163 (page 603)

In the following exercises, factor completely using the perfect square trinomials pattern.
$100 x^{2} - 20 x + 1$

Short Answer

Expert verified

The complete factor of the polynomial is ${(10 x - 1)}^{2}$

Step by step solution

Step 1. Given information.

Consider the given polynomial.

$100 x^{2} - 20 x + 1$

Step 2. Formula used

The general formula for pefect square trinomial is

$a^{2} - 2 a b + b^{2} = {(a - b)}^{2}$

Step 3. Using the perfect square trinomial to find the complete factor.

${(10 x)}^{2} - 2 \cdot 10 x \cdot 1 + {(1)}^{2} {(10 x - 1)}^{2}$

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In the following exercises, factor completely using the perfect square trinomials pattern.
$100 x^{2} - 20 x + 1$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used

Step 3. Using the perfect square trinomial to find the complete factor.

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In the following exercises, factor completely using the perfect square trinomials pattern.100x2-20x+1

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used

Step 3. Using the perfect square trinomial to find the complete factor.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely using the perfect square trinomials pattern.
$100 x^{2} - 20 x + 1$