Chapter 9: Q6. (page 482)

Find the LCM of set of polynomials $x^{2} - 2 x, x^{2} - 4$ .

Short Answer

Expert verified

The LCM of given polynomials is $x (x^{2} - 4)$ .

Step by step solution

Step 1. Write down the given polynomials.

The given polynomials are $x^{2} - 2 x, x^{2} - 4$ .

Step 2. Factorize the polynomials and take common factors of each higher power.

The polynomial $x^{2} - 2 x$ is factorized as: $(x) (x - 2)$

The polynomial $x^{2} - 4$ is factorized as: $(x - 2) (x + 2)$

Taking common factors of each higher power, the LCM of given polynomials is written as:

$\begin{array}{l} L C M = (x) (x - 2) (x + 2) \\ = x (x^{2} - 4) \end{array}$

Step 3. Conclusion.

The LCM of given polynomials is $x (x^{2} - 4)$ .

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Find the LCM of set of polynomials $x^{2} - 2 x, x^{2} - 4$ .

Short Answer

Step by step solution

Step 1. Write down the given polynomials.

Step 2. Factorize the polynomials and take common factors of each higher power.

Step 3. Conclusion.

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Find the LCM of set of polynomials x2-2x,x2-4.

Short Answer

Step by step solution

Step 1. Write down the given polynomials.

Step 2. Factorize the polynomials and take common factors of each higher power.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Applied Mathematics

Statistics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the LCM of set of polynomials $x^{2} - 2 x, x^{2} - 4$ .