HS.A.3.b: Identify, interpret, relate, and graph the factors, x-intercepts, roots, and zeros of polynomial functions using algebraic and graphing methods.

Identify, interpret, relate, and graph the factors, x-intercepts, roots, and zeros of polynomial functions using algebraic and graphing methods.

Example Problems

Factor completely:

x^6 - 1

Factor completely:

9x^4 - 81

Factor completely:

2x^6 + x^3 - 3

Khan Academy Resources

Understanding the quadratic formula Graphs of polynomials: Challenge problems Zeros of polynomials & their graphs Graphs of polynomials Positive & negative intervals of polynomials Average rate of change of polynomials Zeros of polynomials (with factoring)Positive & negative intervals of polynomials Zeros of polynomials (multiplicity)Zeros of polynomials (factored form)Positive and negative intervals of polynomials Zeros of polynomials (with factoring): grouping Multiplicity of zeros of polynomials Zeros of polynomials: matching equation to graph Zeros of polynomials: matching equation to zeros Sign of average rate of change of polynomials Zeros of polynomials: plotting zeros Finding average rate of change of polynomials Zeros of polynomials (with factoring): common factor Zeros of polynomials (multiplicity)Zeros of polynomials introduction Graph interpretation word problem: basketball

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