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Lesson | Solve Polynomial Equations by Factoring (Which Methods Do I Use?)
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Description

Students will learn how to solve polynomial equations by factoring. Many are confused about which methods to use, and when. The lesson slides include 2 reference sheets: a step-by-step guide on "how to solve polynomial equations in factored form" and "important connections about solving equations in factored form." The examples in this lesson are carefully thought-out to go over each method: Quadratic or AC Method, Factor by Grouping, GCF (greatest common factor), Difference of Perfect Squares, and Sum/Difference of Perfect Cubes.

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✫ THIS ZIP-FILE IS ALSO INCLUDED IN MY ENTIRE POLYNOMIALS UNIT BUNDLE!

✫ Get a sneak peak of this lesson in my YouTube video

✫CHECK OUT!

1) How to Factor the Polynomial - ALL Methods Step-by-Step

2) FREE WORKSHEET: Solve Polynomial Equation by Factoring or Formula w/ Sketching Graph

3) Introduction, End Behavior, Multiplicity, Roots / Zeros, Graphing

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INCLUDED:

➀ Lesson slides with step-by-step keys & notes! Comes in PDF version.

➀ 2 reference sheets: a step-by-step guide on "how to solve polynomial equations in factored form" and "important connections about solving equations in factored form."

➀ Well-thought-out examples that is a multi-step process

Topics in This POLYNOMIALS Unit:

BUNDLE: Entire Polynomials Unit

BUNDLE: Long & Synthetic Division and Rational Roots / Zeros Theorem

1) How to Factor the Polynomial - ALL Methods Step-by-Step

2) Solve Polynomial Equations by Factoring

3) Introduction, End Behavior, Multiplicity, Roots / Zeros, Graphing

4) Local/Absolute Max/Min Values & Intervals of Increase/Decrease

5) Long Division and Introducing Factor & Remainder Theorems

6) Synthetic Division and Factor & Remainder Theorems [Continued]

7) Rational Roots / Zeros Theorem and Factor & Remainder Theorems [Continued]

8) Real-World Word Problems [Degree>2 Polynomials]

9) Polynomials UNIT TESTS with Study Guide

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Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Lesson | Solve Polynomial Equations by Factoring (Which Methods Do I Use?)

Higher Math Made Simple
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$2.00

Highlights

Digital downloads
Grades icon
Grades
9th - 12th, Higher Education
Standards icon
Standards
Pages
8
Answer Key
Included
Teaching Duration
45 minutes

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POLYNOMIALS WHOLE UNIT for class 10 and 11! From an introduction to the polynomials unit [vocabulary words such as monomial, binomial, trinomial, term, degree, leading coefficient, divisor, quotient, dividend, etc.], then progresses deeper into the polynomials unit for how to calculate multiplicity,
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Description

Students will learn how to solve polynomial equations by factoring. Many are confused about which methods to use, and when. The lesson slides include 2 reference sheets: a step-by-step guide on "how to solve polynomial equations in factored form" and "important connections about solving equations in factored form." The examples in this lesson are carefully thought-out to go over each method: Quadratic or AC Method, Factor by Grouping, GCF (greatest common factor), Difference of Perfect Squares, and Sum/Difference of Perfect Cubes.

----------------------------------------------------------------------

✫ THIS ZIP-FILE IS ALSO INCLUDED IN MY ENTIRE POLYNOMIALS UNIT BUNDLE!

✫ Get a sneak peak of this lesson in my YouTube video

✫CHECK OUT!

1) How to Factor the Polynomial - ALL Methods Step-by-Step

2) FREE WORKSHEET: Solve Polynomial Equation by Factoring or Formula w/ Sketching Graph

3) Introduction, End Behavior, Multiplicity, Roots / Zeros, Graphing

----------------------------------------------------------------------

INCLUDED:

➀ Lesson slides with step-by-step keys & notes! Comes in PDF version.

➀ 2 reference sheets: a step-by-step guide on "how to solve polynomial equations in factored form" and "important connections about solving equations in factored form."

➀ Well-thought-out examples that is a multi-step process

Topics in This POLYNOMIALS Unit:

BUNDLE: Entire Polynomials Unit

BUNDLE: Long & Synthetic Division and Rational Roots / Zeros Theorem

1) How to Factor the Polynomial - ALL Methods Step-by-Step

2) Solve Polynomial Equations by Factoring

3) Introduction, End Behavior, Multiplicity, Roots / Zeros, Graphing

4) Local/Absolute Max/Min Values & Intervals of Increase/Decrease

5) Long Division and Introducing Factor & Remainder Theorems

6) Synthetic Division and Factor & Remainder Theorems [Continued]

7) Rational Roots / Zeros Theorem and Factor & Remainder Theorems [Continued]

8) Real-World Word Problems [Degree>2 Polynomials]

9) Polynomials UNIT TESTS with Study Guide

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Standards

to see state-specific standards (only available in the US).
Interpret parts of an expression, such as terms, factors, and coefficients.
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Know and apply the Remainder Theorem: For a polynomial 𝘱(𝘹) and a number 𝘒, the remainder on division by 𝘹 – 𝘒 is 𝘱(𝘒), so 𝘱(𝘒) = 0 if and only if (𝘹 – 𝘒) is a factor of 𝘱(𝘹).
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