Multiplicity of Roots

2021.04.19 1:06 pm - 1:47 pm

Teaching point: What connections can we make between quadratic graphs, equations and solutions?

Do now

Choose the equation of P (the graph to the right)?

Agenda

Do now (5 - 10 minutes)

Roots and Multiplicity Video(15 - 20 min)

Finish Multiplicity of Roots Class Work(5 - 10 min)

Closure and Questions (5 min)

Roots and Multiplicity Notes

If you were absent, the notes are here for you to review.

2021.04.14 Multiplicity

Multiplicity of Zeros of Polynomials Video

Here is a video to help

Multiplicity of zeros of polynomials (video) | Khan AcademyThe polynomial p(x)=(x-1)(x-3)² is a 3rd degree polynomial, but it has only 2 distinct zeros. This is because the zero x=3, which is related to the factor (x-3)², repeats twice. This is called multiplicity. It means that x=3 is a zero of multiplicity 2, and x=1 is a zero of multiplicity 1. Multiplicity is a fascinating concept, and it is directly related to graphical behavior of the polynomial around the zero.

Multiplicity in Graphs CW

Begin this class work today. You will write the equations for each graph. Due Monday.

Page updated

Report abuse