Respuesta :

The factored form of given polynomial is:(r+q)(p-2)

Further explanation:

We can re-arrange the given polynomial to factorize it.

Given polynomial is:

[tex]pq - 2r + pr - 2q[/tex]

Re-arranging the terms

[tex]pr-2r+pq-2q\\(pr-2r)+(pq-2q)\\Taking\ r\ as\ factor\ from\ first\ bracket\\Taking\ q\ as\ factor\ from\ second\ bracket\\=r(p-2)+q(p-2)\\=(r+q)(p-2)[/tex]

The factored form of given polynomial is:(r+q)(p-2)

Keywords: Polynomials, Factorization

Learn more about factorization at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

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