3. The polynomial x3 + 4x2 + 7x + k, where k is a constant, is denoted by f(x). (a) Given that (x + 2) is a factor of f(x), show that k = 6.
(b) Express f(x) as a product of a linear factor and a quadratic factor.

Asif spent $745.10 on 13 new file cabinets for his office. small file cabinets cost $43.50 and large file cabinets cost $65.95. write and solve a system of equations to find the number of small cabinets and large cabinets he purchased. determine if each statement is true or false. 1. he purchased 5 small cabinets. true or false 2. he purchased 7 large cabinets. true or false 3. he spent $527.60 on large cabinets. true or false