SOLUTION: 23. Solve the following inequality. x3 + 4x2 - 45x > 0 A. (-5, 0) or (9, ∞) B. (-9, 0) or (5, ∞) C. (-9, ∞) D. (-∞,-9) or (0, 5

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 23. Solve the following inequality. x3 + 4x2 - 45x > 0 A. (-5, 0) or (9, ∞) B. (-9, 0) or (5, ∞) C. (-9, ∞) D. (-∞,-9) or (0, 5       Log On

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Question 444861: 23. Solve the following inequality.
x3 + 4x2 - 45x > 0
A. (-5, 0) or (9, ∞)
B. (-9, 0) or (5, ∞)
C. (-9, ∞)
D. (-∞,-9) or (0, 5


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3+%2B+4x%5E2+-+45x+%3E+0++
x%28x%5E2+%2B+4x+-+45%29+%3E+0++...so, one solution is x%3E0
factor %28x%5E2+%2B+4x+-+45%29+%3E+0++
%28x%5E2-5x+%2B+9x+-+45%29+%3E+0++
%28%28x%5E2-5x+%29%2B+%289x+-+45%29%29+%3E+0++
x%28x-5%29+%2B+9%28x+-+5%29+%3E+0++
%28x%2B+9%29%28x+-+5%29+%3E+0++......the other two solutions are:
x%2B+9%3E+0++...=>...x%3E-9
and
x-5%3E+0++...=>...x%3E5
so, your answer is:
B. (-9, 0) or (5, ∞) ........here is graph above x-axis