Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given...

An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...

This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...

These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...

Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...

A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.

Multiple choice assessment which tests knowledge of "simple" factoring (greatest common factor only), given varying degrees of polynomials.

Given an unsimplified polynomial, this matching assessment will test your understanding of degrees (referred to as "order" by the website) of polynomials.

A more advanced review of algebra concepts and practice review problems ranging from the basic rules of algebra to polynomials. A good test of readiness for higher level math courses.

Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...

Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...

Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a linear binomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x)....

Learners demonstrate comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on polynomial functions. Topics include degree, roots, and graphing.

Factor complex polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...

Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.

Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.

The exercise explores first-, second-, and third-degree polynomial approximations. Students label the graphs of the polynomial approximations. The handout is available in PDF format.

Find special products (perfect squares and difference of squares) of 'advanced' binomials: binomials with leading coefficients other than 1; binomials with higher degrees; and binomials with two variables.

The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.