Question

Find the least common multiple of the pair of polynomials

Answer 1

We are required to find the LCM of

`\begin{gathered} 5w^2-80\text{ and }w\text{ + 4} \\ \\ \end{gathered}`

Factorize the first polynomial

`\begin{gathered} 5w^2-80=5(w^2-16) \\ =5(w+4)(w-4) \end{gathered}`

We can see that the second polynomial (w+4) is a factor of the first polynomial 5(w+4)(w-4)

Hence,

`\begin{gathered} \text{The LCm of the }polynomilas\text{ is } \\ 5(w+4)(w-4) \end{gathered}`

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