Final answer:
The polynomial 343s^3 + 216 can be factored using sum of cubes formula, yielding (7s + 6)(49s^2 - 42s + 36).
Step-by-step explanation:
The polynomial given is 343s3+216. This can be factored using sum of cubes formula, which states that a3 + b3 can be factored as (a + b)(a2 - ab + b2). In this case, the cubes are 343s3, which is (7s)3 and 216, which is 63. Factoring accordingly using the formula, we get:
(7s + 6)((7s)2 - (7s)(6) + 62 )
So, the factored polynomial is (7s + 6)(49s2 - 42s + 36).
Learn more about Factoring Polynomials