Answer :
Answer:
x > -4, x > -3, x > 4
Step-by-step explanation:
given inequality is:
x³ + 3x² - 16x - 48 > 0
x²(x + 3) - 16(x + 3) > 0
(x² - 16)(x + 3) > 0
(x² - 4²)(x + 3) > 0
(x - 4)(x + 4)(x + 3) > 0
as:
a² - b² = (a + b)(a - b)
i.e.
x - 4 > 0, x + 4 > 0, x + 3 > 0
x > -4, x > -3, x > 4
