The polynomial P \left( x \right) = x^{3} - 12 x - 9 has a zero at x = - 3. Solve for the other zeros of P \left( x \right).
Solve the equation x^{3} + 5 x^{2} - 50 x = 0.
Solve the following equations:
Consider the function f \left( x \right) = x^{4} - 3 x^{3} - 3 x^{2} + 11 x - 6.
Is 5 a root of the equation f \left( x \right) = 0?
Is 3 a root of the equation f \left( x \right) = 0?
Is - 2 a root of the equation f \left( x \right) = 0?
Consider the polynomial f \left( x \right) = x^{4} + 2 x^{3} + 42 x^{2} + 12 x + 42.
What are the possible rational zeros of f \left( x \right)?
What are the rational zeros of this polynomial?
Solve the equation \left(x^{2} - 9\right) \left(x^{2} + 12 x + 36\right) = 0.
The polynomial P \left( x \right) = x^{4} - 23 x^{2} + 112 has zeros: x = 4 and x = - 4. Solve for the other zeros of P \left( x \right).
The polynomial P \left( x \right) = x^{4} - 4 x^{2} + 3 has roots at x = 1 and x = - 1 satisfying P \left( x \right) = 0. Solve for the other roots of P \left( x \right) = 0.
Solve the following equations:
Use technology to solve the following cubic equations:
Solve the following equations using technology. Round your answers to two decimal places.