Factor Theorem Teacher Resources

Find Factor Theorem lesson plans and worksheets
Showing 1 - 20 of 20 resources
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The Remainder and Factor Theorems

For Students 10th - 12th
In this remainder and factor theorems worksheet, one solves and completes 24 different types of problems. First, they use synthetic substitution to find the value for each function. Then, students find the remaining factors of the...
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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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Polynomial Functions

For Teachers 9th - 11th
Explore finding zeros of polynomial functions in a number of ways including using synthetic division, depressed polynomials, factoring, the Factor Theorem. and the Rational Roots Theorem.  This lesson also looks at complex conjugates as...
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Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials

For Students 10th - 12th
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 Theorem...
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Polynomials and Linear Factors

For Students 10th - 11th Standards
This algebra learning exercise 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...
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Polynomial Division

For Teachers 9th - 12th
Explore the concept of polynomial division and make conjectures about the Remainder and Factor Theorems in this investigative worksheet. Learners  use a CAS calculator to factor polynomials through polynomial division. 
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Polynomial Functions

For Teachers 10th - 12th Standards
This comprehensive lesson plan looks at higher-degree polynomials. The important topics covered include the Remainder Theorem, the Factor Theorem, and synthetic division. Included is a clearly written tutorial, problem sets, summary, and...
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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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Quadratic Equations with Negative Discriminate

For Teachers 9th - 11th
Solve polynomial equations of degree using different theorems and apply the zero factor theorem for unknown numbers in a quadratic equation. Also use the discriminate to find out the kind of solutions to given quadratic equations shown.
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Dividing Polynomials

For Students 11th - Higher Ed
In this Algebra II/college level activity, students use long and synthetic division to divide polynomials and use the Factor Theorem to show that a given polynomial is a factor of a polynomial function.  The two page activity contains...
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Algebra Made Fundamental

For Teachers 9th - 12th Standards
Gain a fundamental understanding of the solutions to polynomial functions. The lesson introduces the Fundamental Theorem of Algebra. Beginning with the Factor Theorem, the resource builds on to the number of factors for any polynomial,...
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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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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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Roots of Polynomial Functions

For Students 10th - 12th
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
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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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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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EngageNY

Scale Factors

For Students 9th - 10th Standards
Is it bigger, or is it smaller—or maybe it's the same size? Individuals learn to describe enlargements and reductions and quantify the result. Lesson five in the series connects the creation of a dilated image to the result. Pupils...
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Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Saxon Math: Algebra 2 (Section 7)

For Teachers 9th - 12th Standards
Section seven of twelve turns the mathematical eye toward higher-level concepts. From radians in the unit circle to the complex number system, logarithms to advanced factoring methods, this lesson—just past the halfway point in the...
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Polynomial Divisions

For Teachers 8th - 10th
Learners factor polynomials and use long division t solve problems. In this algebra lesson plan, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.

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