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Unit 6: Polynomial Expressions and Equations
Lesson 6.3: The Factor Theorem and the
Remainder Theorem
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DO NOW
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ACT Practice
What is the area, in square meters, of the figure below?
a.
b.
c.
d.
e.
336
330
225
82
56
Lesson 6.2: Polynomial Divisions
LESSON OBJECTIVES:
By the end of the lessons, students should be able
to:
 Use the Remainder Theorem to evaluate
polynomial equations and functions.
 Use the Factor Theorem to determine if a
polynomial is a factor of another polynomial.
 Use the Factor Theorem to calculate factors of
polynomial equations and functions
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Common Core Standards
A- APR.2
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Remainder Theorem
When any polynomial, f(x), is divided by a linear factor (x-a),
then the remainder = f(a)
The remainder is the value of the function when x = a
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Determining Function Value Using
Remainder Theorem
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Factor Theorem
The Factor Theorem states that a polynomial has a linear
polynomial as a factor if and only if the remainder is zero
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Using the Factor Theorem to determine
whether g(x) is the factored form of f(x)
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Using the Factor Theorem to determine
the unknown coefficient