Dividing polynomials (long and synthetic division)HSA.APR.D.6Divide quadratic and cubic polynomials by x − r with synthetic division, giving the quotient and any remainder.The remainder and factor theoremsHSA.APR.B.2Find the remainder of p(x) ÷ (x − a) by evaluating p(a), and decide whether x − a is a factor.Finding zeros of polynomialsHSA.APR.B.3Find the zeros of a cubic polynomial in factored form, from one known zero, and by factoring by grouping.Factoring sums and differences of cubesHSA.SSE.A.2Factor sums and differences of cubes, a³ + b³ and a³ − b³, including expressions with a common factor first.The binomial theoremHSA.APR.C.5Expand powers of binomials with Pascal's triangle and the binomial theorem, and find the coefficient of one term without expanding.Graphs of polynomial functionsHSF.IF.C.7cRead the zeros and end behavior of a cubic or quartic from its graph, and write the function in factored form from its zeros and y-intercept.