Factor by grouping. 15w⁷ + 25w⁴ + 6w³ + 10 A) 5w⁴ + 2(3w³ + 5) B) (5w⁴ + 2)(3w³ + 5)² C) (5w⁴ + 2)²(3w³ + 5) D) (5w⁴ + 2)(3w³ + 5) E) (5w⁴ - 2)(3w³ - 5)

Question

Quizplus · Accepted Answer

We can group the first two terms and the last two terms: (15w⁷ + 25w⁴) + (6w³ + 10) = 5w⁴(3w³ + 5) + 2(3w³ + 5). Now we have a common factor of (3w³ + 5), which we can factor out: (3w³ + 5)(5w⁴ + 2). Therefore, the answer is D.

Factor by Grouping