Math Lesson­2.notebook
October 28, 2014
5.5 Day 1 Quiz
Divide using polynomial Long Division.
1. (7x3 + 11x2 + 7x + 5) ÷ (x2 + 1)
Divide using Synthetic Division.
2. (x4 + 4x3 + 16x ­ 35) ÷ (x + 5)
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Math Lesson­2.notebook
October 28, 2014
Today's Objective
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Students will practice the Remainder & Factor Theorem by dividing polynomial equations.
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Math Lesson­2.notebook
October 28, 2014
5.5 Apply the Remainder & Factor Theorems Day 2
10/28
Remainder Theorem: If a polynomial f(x) is divided by x ­ k, then the remainder is r = f(k).
Factor Theorem: A polynomial f(x) has a factor x ­ k if and only if f(k) = 0
~A.K.A.
Ex. 4: Factor f(x) = 3x3 ­ 4x2 ­ 28x ­ 16 completely given that x + 2 is a factor.
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Math Lesson­2.notebook
October 28, 2014
You Practice
Factor the polynomial completely given that x ­ 4 is a factor. 5. f(x) = x3 ­ 6x2 + 5x + 12
6. f(x) = x3 ­ x2 ­ 22x + 40
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Math Lesson­2.notebook
October 28, 2014
Ex. 5: One zero of f(x) = x3 ­ 2x2 ­ 23x + 60 is x = 3. What is another zero of f ?
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Math Lesson­2.notebook
October 28, 2014
You Practice
Find the other zeros of f given that f(­2) = 0.
7. f(x) = x3 + 2x2 ­ 9x ­ 18
8. f(x) = x3 + 8x2 + 5x ­ 14
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Math Lesson­2.notebook
October 28, 2014
Ex. 6: The profit P (in millions of dollars) for a shoe manufacturer can be modeled by P = ­21x3 + 46x where x is the number of shoes purchased (in millions). The company now produces 1 million shoes and makes a profit of $25,000,000, but would like to cut back production. What lesser number of shoes could the company produce and still make the same profit?
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Math Lesson­2.notebook
October 28, 2014
5.5 Homework QUIZ Tomorrow!!
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