A-APR.B. Understand the relationship between zeros and factors of polynomials.

A-APR.B.2. Know 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 $p(x)$.

• Graphing from Factors III
• The Missing Coefficient
• Zeroes and factorization of a general polynomial
• Zeroes and factorization of a non polynomial function
• Zeroes and factorization of a quadratic polynomial I
• Zeroes and factorization of a quadratic polynomial II

A-APR.B.3. Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

• Graphing from Factors I
• Graphing from Factors II
• Graphing from Factors III
• Solving a Simple Cubic Equation