Polynomial Inequalities: "Suppose a sonar device is set up in the middle of a lagoon.
Hello Again,
I have another 3-part problem that I could use some assistance with.
2a. Suppose a sonar device is set-up in the middle of a lagoon. The device found the depth of the lagoon in feet, as a function of the horizontal distance, in yards, from the device is given by D(x) = (x² − 4)³ − 5(x² − 4)² + (x² − 4) − 5. Factor the formula for D completely. Do not solve for anything.
I tried factoring this and got D(x) = (x + 3)(x - 3)(x4 − 8x2 + 17) Is this correct?
2b. Draw and complete a number line for the inequality D(x) > 0.
How would I got about creating a number line for this?
2c. Assuming the lagoon is circular, using the information from your number line in part (b), what is the diameter of the pond?
(A side not for this entire 3-part problem, D(x)=0 is at the surface of the lagoon. Assume the positive direction to be "upwards.")
Hello Again,
I have another 3-part problem that I could use some assistance with.
2a. Suppose a sonar device is set-up in the middle of a lagoon. The device found the depth of the lagoon in feet, as a function of the horizontal distance, in yards, from the device is given by D(x) = (x² − 4)³ − 5(x² − 4)² + (x² − 4) − 5. Factor the formula for D completely. Do not solve for anything.
I tried factoring this and got D(x) = (x + 3)(x - 3)(x4 − 8x2 + 17) Is this correct?
2b. Draw and complete a number line for the inequality D(x) > 0.
How would I got about creating a number line for this?
2c. Assuming the lagoon is circular, using the information from your number line in part (b), what is the diameter of the pond?
(A side not for this entire 3-part problem, D(x)=0 is at the surface of the lagoon. Assume the positive direction to be "upwards.")