Solve the inequality (enter your answer using interval notation)

Question

X^3+7x^2>4x+28

Answer 1

x^3 + 7x^2 -4x -28 > 0

the cubic factors

(x-2)(x+7)(x+2) > 0

x>2 is one solution

another is -7< x < -2

for the cubic to be greater than or equal to zero

either all three factors are non-negative

or one is non-negative and the other two are non-positive