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Chapter 9: Q2. (page 482)

Write two polynomials that have a LCM of $d^{3} - d$

Short Answer

Expert verified

The two polynomials that have a LCM of $d^{3} - d$ are $d (d^{2} - 1)$ .

Step by step solution

01

Step 1. Given Information.

Given to write two polynomials that have a LCM of $d^{3} - d$ .

02

Step 2. Explanation.

The LCM of factors of a polynomial is the polynomial itself.

Using this rule and factoring the given polynomial:

$d^{3} - d = d (d^{2} - 1)$

03

Step 3. Conclusion.

Hence, the two polynomials that have a LCM of $d^{3} - d$ are $d, (d^{2} - 1)$ .

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