Answer:
(8w + 7)(7w + 9)
Step-by-step explanation:
56w² + 121w + 63
consider the factors of the product of the coefficient of the w² term and the constant term which sum to give the coefficient of the w- term
product = 56 × 63 = 3528 and sum = 121
After much trial and error the factors are + 49 and + 72
use these factors to split the w- term
56w² + 49w + 72w + 63 ( factor first/second and third/fourth terms )
= 7w(8w + 7) + 9(8w + 7) ← factor out (8w + 7) from each term
= (8w + 7)(7w + 9) ← in factored form
