SOLUTION: Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x^3-4x^2-16x+64<0

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Question 628330: Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x^3-4x^2-16x+64<0
Answer by lwsshak3(11628) About Me  (Show Source):
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Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation.
x^3-4x^2-16x+64<0
factor by grouping
x^2(x-4)-16(x-4)<0
(x-4)(x^2-16)<0
(x-4)(x+4)(x-4)<0
number line
<....-....-4.....+.....4....+.....>
solution: (-∞,-4)