Answer:
2x³ + 17x² + 41x + 30 = (x + 5) (x + 2) (2x + 3)
Step-by-step explanation:
2x³ + 17x² + 41x + 30 = (x + 5) (2x² + ax + 6) =
2x³ + (a + 10) x² + (5a + 6) x + 30
a + 10 = 17 a = 7 ( check: 5a + 6 = 5 x 7 + 6 = 41)
2x³ + 17x² + 41x + 30 = (x + 5) (2x² + 7x + 6) = (x + 5) (x + 2) (2x + 3)
