In plain words
From sattva arises jñāna; from rajas, greed; from tamas arise negligence, delusion, and ajñāna.
Word for word
From sattva arises jñāna, and from rajas greed indeed; negligence and delusion arise from tamas, and ajñāna indeed.
सत्त्वात् सञ्जायते ज्ञानं रजसो लोभ एव चप्रमादमोहौ तमसो भवतोऽज्ञानमेव च
Other commentaries
The commentators
▸Bhagavadgītābhāṣyam
किञ्च गुणेभ्यो भवति —
सत्त्वात् लब्धात्मकात् सञ्जायते समुत्पद्यते ज्ञानम् , रजसो लोभ एव च, प्रमादमोहौ च उभौ तमसो भवतः, अज्ञानमेव च भवति ॥ १७ ॥
In plain words
And there's more that follows from these three guṇas —
When sattva has come fully into its own, knowledge is born from it — it simply arises. From rajas, greed, and nothing else. From tamas come both of these: heedlessness and delusion — and ignorance comes with them.
Close to the Sanskrit
Moreover, from the guṇas [this] comes to be —
From sattva — from sattva that has secured its own nature — knowledge is born, arises. And from rajas, greed alone. And both heedlessness and delusion, the two of them, come to be from tamas; and ignorance too comes to be.