Solving Polynomial Equations with Complex Solutions Answers

Find all the solutions to 3x3 – 6x2 + 30x – 20 = –20.

Find all solutions to the equation x3 + 100x + 8x2 = –800.

Consider the equation 3x3 + 14x2 – 14x + 60 = 0. The real solution is –6. What are the nonreal solutions?

Find all solutions to the equation 3x3 + 12x = 2x2 + 8.

What are the solutions to –24x – 24 = x3 + 8x2?

What are all the roots, both real and nonreal, of the equation x4 + x2 = 4x2 + 4?

Consider the equation 4x4 – 8x3 + 4x2 – 128x – 960 = 0. The real solutions are 5 and –3. What are the nonreal solutions?

On a coordinate plane, a curve goes through (negative 6, 0), has a maximum at (negative 5, 500), decreases to (negative 2.5, negative 450), increases through (0, negative 50), increases again through (1, 0), and then goes through (2, 400).

On a coordinate plane, a curve goes through (negative 2, 0), has a minimum point at (negative 1, negative 40), increases through (0, negative 20), has an inflection point at (1.5, 0), and then increases.

Find all the solutions to the equation 4x3 + 16x2 + 28x = 0.