HSA.APR.B

Understand the relationship between zeros and factors of polynomials.

HSA.APR.B.2Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).HSA.APR.B.3Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Khan Academy Resources
Graphs of polynomials: Challenge problemsZeros of polynomials & their graphsGraphs of polynomialsZeros of polynomials (with factoring)Remainder theorem and factorsZeros of polynomials (multiplicity)Remainder theoremZeros of polynomials (factored form)Proof of the Polynomial Remainder TheoremZeros of polynomials (with factoring): groupingMultiplicity of zeros of polynomialsRemainder theorem examplesZeros of polynomials: matching equation to graphZeros of polynomials & their graphsZeros of polynomials: matching equation to zerosRemainder theorem: finding coefficientsRemainder theorem: finding remainder from equationZeros of polynomials: plotting zerosRemainder theorem: checking factorsIntro to the Polynomial Remainder TheoremZeros of polynomials (with factoring): common factorZeros of polynomials (multiplicity)Zeros of polynomials introduction
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