Mt. San Antonio Collage
Test 1: Graphing Functions
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.
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Topic 5.3 - Dividing Polynomials
In this polynomial instructional activity, students simplify 6 polynomial expressions. They are instructed to use synthetic division to find the quotient of the next 4 expressions.
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Multiplying and Dividing Polynomials
Students practice multiplying and dividing polynomial expressions with monomials. After a lecture on how to calculate the expression, students practice solving their own polynomial expression while being guided by their classmates.
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Integrated Algebra/Math A Regents Questions by Performance Indicator
In this dividing polynomials worksheet, students complete 7 division of polynomial problems. Each problem features 4 possible answers.
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Polynomials
Eighth graders investigate the concepts and combining them into polynomials. The teacher uses direct instruction for delivery. They can use Algebra to make this lesson hands-on for the benefit of kinesthetic learners.
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The Case of the Missing Middle Term
Students examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.
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...
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How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
Alabama Learning Exchange
Fortune Properties
Complete identity and equality property problems in hands-on activities. Smart cookies identify the identity and equality properties. They complete a review of order of operations, watch an online video, and make a foldable with the...
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...
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Factoring Special Binomials and Trinomials
In this factoring special binomials and trinomials worksheet, students multiply two sets of binomials. They answer 7 true/false questions. Students factor 57 polynomials. They divide two pairs of binomials. There are 60 problems in all.
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Adding and Subtracting Algebraic Expressions (Combining Like Terms)
Everyone loves math when it includes food! This instructional activity tries to take the notion of combining like terms in algebra and comparing it to sorting apples and oranges. It takes a step-by-step approach to helping young scholars...
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Solving Monomials and Polynomials
In this solving monomials and polynomials worksheet, 9th graders solve 18 different problems related to solving by division. First, they use the Distributive Property to write every term of the numerator over the monomial in the...
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Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials
In this synthetic substitution worksheet, students evaluate three different function at specified points. Students also determine if given factors are factors of four specific polynomials. Additionally students use the Factor...
Illustrative Mathematics
Combined Fuel Efficiency
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...
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...
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Lesson 19: Rational Functions and Long Division
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page activity contains...
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Dividing Integer Powers
Work on the concept of using division with integer powers. The skills of using exponents and multiplying powers should be in place before attempting this lesson. The lesson provides examples for the teacher to use for direct instruction.
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Divide Polynomials
In this polynomials division worksheet, 6th graders divide a total of 10 polynomials. Answers are included on page 2, a reference web site is given for additional activities.
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Dividing Expressions
In this algebra worksheet, students divide expressions and utilize exponent rules. There are 7 questions with multiple parts.
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Divide Monomials #2
In this dividing monomials worksheet, learners complete a set of 6 problems, showing their work in the word space provided. Answers are included on page 2.
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Watch Your P's and Q's
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
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Dividing Polynomials #3
In this polynomial division worksheet, students complete a set of 10 problems. Answers are included on page 2, a reference web site is given for additional activities.
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The Remainder and Factor Theorems
In this remainder and factor theorems learning exercise, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic division...
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