## Tutoring on Solving Polynomial Equations - Increasing and Decreasing Polynomials

Learning Objectives:

#### Understand to Solve Polynomial Equations.

Math Tutoring on Solving Polynomial Equations / Increasing and Decreasing Polynomials

A polynomial equation is an equation in which a polynomial is set equal to another polynomial. The degree one polynomial equation is called a "linear equation," a degree two is called a "quadratic equation," a degree three is called a "cubic equation," a degree four is called a "quartic equation." There are two Graphical Methods for solving polynomial equations. The first is the "Intersection Method." For this method, we will graph the left side of the equations as a function in y1, the right side of the equation as a function in y2 and then we will find the x coordinates of the point of intersection of the two functions. The second graphical method will be the "Zero Method." For this method, we will set the equation equal to 0, graph the non-zero side of the equation as a function, and then we will determine the zeroes or "roots" of the function, and these will be the x-intercepts. So the x-intercepts will be the solutions.

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Hook questions:

1.    How do you find roots of polynomials?

2.    What is the equation of a polynomial?

3.    What are the zeros of a polynomial function?

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