The enzyme that carries out transcription in a eukaryotic cell is RNA polymerase II.

Here's why:

* RNA polymerase is the general name for the enzyme that synthesizes RNA from a DNA template.

* Eukaryotes have three main types of RNA polymerase:

* RNA polymerase I: Transcribes rRNA genes.

* RNA polymerase II: Transcribes protein-coding genes and some small nuclear RNA genes.

* RNA polymerase III: Transcribes tRNA genes, 5S rRNA genes, and some other small RNA genes.

RNA polymerase II is the key player in the production of messenger RNA (mRNA), which carries the genetic code from DNA to ribosomes for protein synthesis.