Question

Use the inequality x^4+3x^3−2x^2−6 > 0 and a graphing calculator, or another piece of technology, to answer Part A and Part B.

Part A: What are the zeros of the inequality to the nearest hundredth?

Part B: What is the solution set for the inequality?

Select all possible answers for Part A and one answer for Part B.

B: (−∞,−3.67)∪(1.3,∞)

B: (−3.67,−1.3)∪(0,1.3)

B: (−∞,−3.67]∪(−1.3,0)∪[1.3,∞)

A: x≈1.3

A: x≈3.67

A: x≈−0.9

A: x≈−3.67

A: x≈−1.3

A: x≈0

Answer 1

Part A: What are the zeros of the inequality to the nearest hundredth?

According to the graph.

zeros of inequality are $x_1 \thickapprox - 3.67 \space\space x_2 \thickapprox 1.3$

Part B: What is the solution set for the inequality?

$(−∞,−3.67)∪(1.3,∞)$