Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
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...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
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...
Illustrative Mathematics
Zeroes and factorization of a non polynomial function
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...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
Khan Academy
Khan Academy: Factor Polynomials Using Structure
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...
Khan Academy
Khan Academy: Factor Polynomials: Quadratic Methods (Challenge)
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
Khan Academy
Khan Academy: Factor Polynomials Using Structure
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Factoring
Practice using your graphing calculator for solving exponent problems and factoring polynomials. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each problem.
Khan Academy
Khan Academy: Factor Polynomials: Complex Numbers
Identify correctly factored forms of given polynomials. Factorizations may use complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Washington State University
Washington State University: Sample Problems From Intermediate Algebra
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....
Khan Academy
Khan Academy: Factors & Divisibility
Students practice multiple-choice problems with factors and divisibility.