# S OLVING P OLYNOMIAL E QUATIONS Determining the Real Roots of an Equation is equivalent to Determining the x-coords of the PoI s of 2 Functions which is.

## Presentation on theme: "S OLVING P OLYNOMIAL E QUATIONS Determining the Real Roots of an Equation is equivalent to Determining the x-coords of the PoI s of 2 Functions which is."— Presentation transcript:

S OLVING P OLYNOMIAL E QUATIONS Determining the Real Roots of an Equation is equivalent to Determining the x-coords of the PoI s of 2 Functions which is also equivalent to Determining the Zeros of a Combined Function

REAL ROOTS OF EQN = X-COORDS OF POIS = ZEROS OF FN

REAL ROOTS OF EQN = X-COORDS OF PoIs = ZEROS OF FN

A polynomial equation of degree “n” has “n” complex roots but will have AT MOST “n” real roots! REAL ROOTS OF EQN = X-COORDS OF POIS = ZEROS OF FN Complex roots may be all real (“a”) or all imaginary (“± bi”) or a mixture (“a ± bi”).

REAL ROOTS OF EQN = X-COORDS OF PoIs = ZEROS OF FN Ex#3] Ex#4] or  the real roots are or  the real roots are

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