Solving Polynomial Inequalities Graphically

Assuming the scale is 1, determine where f(x) ≤ 0.

• (-oo, 2) U (2, 4)

• (-oo, 2] U [2, 4]

• (-oo, 4]

• Not given

Assuming the scale is 1, where is f(x) > 0?

• [-4, -1] U [2, +oo)

• (-4, -1) U (2, +oo)

• (-oo, -4] U [-1, 2]

• (-oo, -4) U (-1, 2)

(x - 2)(x + 3)²(x² + 4) ≥ 0

• [2,∞)

• [-3] U [2,∞)

• (2,∞)

• Not Given

Assuming the scale is 1, determine where f(x) ≤ 0.

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Solve the inequality:
(x-2)(x+3)²(x²+4)≥0

• x= 3, x ∈ [2,∞]

• x=3, x ∈ [2,∞)

•  x ∈ (2,∞)

• x ≥ 3

Solve the inequality.
(x-2)(x+3)²(x²+4)≥0

• [2,∞)

• {-3},[2,∞)

• (2,∞)

• { }

Match the equation to the graph.

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-3)(x-1)³

• y = 3x³ – 2x + 1

• y=(x+1)³(x-3)(x-1)²

The multiplicity of the factor (x+1) could be:

• 1

• 2

• 3

• 4