Find the zeros of the given polynomial function and give the multiplicity of each. State whether the graph crosses or touches the x-axis at each zero. f(x)=x2(x−1)3(2x+6)f\left(x\right)=x^2\left(x-1\right)^3\left(2x+6\right)f(x)=x2(x−1)3(2x+6)

Touch at x = 0 , x=0, x = 0 , Cross at x = 1 , x=1, x = 1 , Cross at x = − 3 x=-3 x = − 3

Find the zeros of the given polynomial function and give the mult...

Guided course

06:04

Introduction to Polynomial Functions

End Behavior of Polynomial Functions

Finding Zeros & Their Multiplicity

Maximum Turning Points of a Polynomial Function

Definition of a Polynomial Function

Degrees and Leading Coefficients in Polynomials

What Is a Polynomial?

Identifying Polynomials

Find Key Information about a Given Polynomial Function

Characteristics of Polynomial Functions

End Behavior of a Polynomial Function

Definition of Multiplicity of Zeros in Polynomial Functions

Finding zeros and their multiplicities of a polynomial in factored form

How to use the Intermediate Value Theorem

Intermediate value theorem to prove a root in an interval (KristaKingMath)

Intermediate Value Theorem Examples

Relative Extrema In Polynomial Functions

Attributes of Polynomial Functions

Even and Odd Symmetries

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Find the zeros of the given polynomial function and give the multiplicity of each. State whether the graph crosses or touches the x-axis at each zero. $f\left(x\right)=x^2\left(x-1\right)^3\left(2x+6\right)$

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Find the zeros of the given polynomial function and give the multiplicity of each. State whether the graph crosses or touches the x-axis at each zero. ﻿f(x)=x2(x−1)3(2x+6)f\left(x\right)=x^2\left(x-1\right)^3\left(2x+6\right)f(x)=x2(x−1)3(2x+6)﻿

Find the zeros of the given polynomial function and give the multiplicity of each. State whether the graph crosses or touches the x-axis at each zero. $f\left(x\right)=x^2\left(x-1\right)^3\left(2x+6\right)$