The Cubic Formula - University of Utah

The Cubic FormulaThe quadratic Formula tells us the roots of a quadratic polynomial, a poly-nomial of the formax2+bx+c. The roots (ifb2 4ac 0) are b+pb2 4ac2aand b pb2 Cubic Formula tells us the roots of a Cubic polynomial, a polynomial ofthe formax3+bx2+cx+d. It was the invention (or discovery, depending onyour point of view) of the complex numbers in the 16th century that allowedmathematicians to derive the Cubic Formula , and it was for this reason thatpeople became interested in complex this chapter we ll see what the Cubic Formula is. We ll see how it usescomplex numbers to tell us the real number roots of Cubic polynomials withreal number coe cients.

complex numbers to tell us the real number roots of cubic polynomials with real number coecients. Specifically, we’ll look at the two cubic polynomials x3 15x4andx3 3x+ p 2, and we’ll use complex numbers and the cubic formula to determine what their real number roots are.

Tags:

  Complex, Polynomials

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