Question

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

Short answer

The two polynomials that have a LCM of $d^3-d$ are$d\left(d^2-1\right)$.

Step-by-step solution

Step 1. Given Information.

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

Step 2. Explanation.

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

Using this rule and factoring the given polynomial:

$d^3-d=d\left(d^2-1\right)$

Step 3. Conclusion.

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