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Home > PC3 > Chapter 7 > Lesson 7.1.5 > Problem 7-67

7-67.

Solve each of the following inequalities.  

  1.  

    The possible roots of the polynomial are factors of . Use polynomial division to determine the roots.

    Where , , and are the roots of the polynomial.

    Create and complete a sign chart like the one below to determine the intervals over which the polynomial is positive.

    Horizontal line, with 3 tick marks, labeled, a, b & c, with 3 vertical dashed segments, extending below the line, at each of the tick marks, creating 4 sections. Below & left of first tick mark are the following labels: each on a line, x minus a, x minus b, x minus c, & product of the 3 previous labels, on first line, the following symbols in each section, minus, plus, plus, plus.

  1.  

    Create and complete a sign chart like the one below to determine the intervals over which the polynomial is negative or . Remember that  must be excluded from the solution.

    Horizontal line, with 3 tick marks, labeled, negative 9, negative 3, & 3, with 3 vertical dashed segments, extending below the line, at each of the tick marks, creating 4 sections. Below & left of first tick mark are the following labels: each on a line, x + 9, x + 3, x minus 3, & the product of (x +3) & (x minus 3), divided by quantity x + 9.

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