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Lesson Plan
Curated OER

The Remainder Theorem Using TI-Nspire CAS

For Teachers 9th - 12th Standards
Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
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Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
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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Worksheet
Curated OER

Polynomials and Linear Factors

For Students 10th - 11th Standards
This algebra activity reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem...
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Lesson Plan
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Illustrative Mathematics

The Missing Coefficient

For Teachers 10th - 12th Standards
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...
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Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
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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Worksheet
Curated OER

Theory of Polynomials

For Students 9th - 11th
In this polynomial worksheet provides extra practice the Factor and Remainder Theorems. They identify factors of given linear expressions. This two-page worksheet contains 19 problems. The answers are provided on the second page.
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Worksheet
Curated OER

The Remainder and Factor Theorems

For Students 11th
In this remainder and factor theorems worksheet, 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 to find...
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Worksheet
Curated OER

Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials

For Students 10th - 12th
In this synthetic substitution learning exercise, 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...