9-2: Factored Form

9-2: Factored Form

Author: Kate Sidlo

By the end of this tutorial students will be able to solve for the roots of a quadratic equation in factored form by setting the equation equal to zero and balancing.  Students will be able to solve this process for both one and two-root parabolas.

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9 - 2 Solving for Roots in Factored Form


FACTORED FORM: Any quadratic equation in the form y = (x - a)(x - b)

LINE OF SYMMETRY: The vertical line through the vertex, splits parabola into two mirror-image pieces

QUADRATIC EQUATION: A polynomial with a highest term of x2

PARABOLA: A graph of a quadratic equation

ROOTS/ZEROS: The point or points where a parabola intersects the x-axis.

VERTEX: The point on the graph where the parabola changes direction from positive to negative or negative to positive