Code | Grade | Cluster | Standard | Object Count |

A.APR.1 |
High School - Algebra |
Perform arithmetic operations on polynomials. |
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. |
2 |

A.APR.2 |
High School - Algebra |
Understand the relationship between zeros and factors of polynomials. |
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). |
0 |

A.APR.3 |
High School - Algebra |
Understand the relationship between zeros and factors of polynomials. |
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. |
1 |

A.APR.4 |
High School - Algebra |
Use polynomial identities to solve problems. |
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)^2 = (x^2 – y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples. |
0 |

A.APR.5 |
High School - Algebra |
Use polynomial identities to solve problems. |
(+) Know and apply the Binomial Theorem for the expansion of (x + y)^n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle. |
0 |

A.APR.6 |
High School - Algebra |
Rewrite rational expressions. |
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. |
2 |

A.APR.7 |
High School - Algebra |
Rewrite rational expressions. |
(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. |
3 |