It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...

Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the...

Challenge classes to think deeply and apply their understanding of polynomials. The assessment prompts learners to use polynomial functions to model different situations and use them to make predictions and conclusions.

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...

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...

Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...

Graph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.

This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...

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

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...

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)....

Thirty-nine problems present a variety of practice applying the remainder and factor theorems to polynomial division.

This WyzAnt lesson displays examples for multiplication and division of polynomial exponents and polynomial exponents in fractions.

Check for college math readiness using this problem sampler. Problems cover high school algebra topics, including linear and quadratic equations, factoring, radicals, rational expressions, synthetic division, complex numbers and more....

Factor the numerator and the denominator of a rational expression and cancel out common binomial terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Factor the numerator and the denominator of a rational expression and cancel out common monomial factors. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive...