

Lesson 15 The Remainder Theorem
Presentation
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Andrew Witczak
Used 19+ times
FREE Resource
11 Slides • 8 Questions
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Multiple Choice
For the polynomial function
f(x)=x3−2x2−5x+6 , we have f(0)=6, f(2)=-4, f(-2)=0, f(-1)=8, f(1)=0. Rewrite f(x) as a product of linear factors.f(x)=(x−1)(x−3)(x+2)
f(x)=(x+1)(x+3)(x−2)
f(x)=(x+1)(x+3)(x+2)
f(x)=(x+1)(x−3)(x−2)
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Multiple Select
Select all the polynomials that have (x−4) as a factor.
x3−13x−12
x3+8x2+19x+12
x3−x2−10x−8
x2−4
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Open Ended
Write a polynomial function, p(x), with degree 3 that has p(7)=0.
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Fill in the Blanks
Long division was used here to divide the polynomial function
p(x)=x3+7x2−20x−110 by (x-5) and to divide is by (x+5). What is p(-5)?Type answer...
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Fill in the Blanks
Long division was used here to divide the polynomial function
p(x)=x3+7x2−20x−110 by (x-5) and to divide is by (x+5). What is p(5)?Type answer...
17
Multiple Choice
Which polynomial function has zeros when
x=5, 32, −7 ?f(x)=(x+5)(2x+3)(x−7)
f(x)=(x+5)(3x+2)(x−7)
f(x)=(x−5)(2x−3)(x+7)
f(x)=(x−5)(3x−2)(x+7)
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Multiple Choice
The polynomial function
q(x)=3x4+8x3−13x2−22x+24 has known factors (x+3) and (x+2). Rewrite q(x) as the product of linear factors.q(x)=(x+3)(x+2)(x−1)(3x−4)
q(x)=(x+3)(x+2)(x−1)(3x+4)
q(x)=(x−3)(x−2)(x+1)(3x+4)
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Open Ended
We know these things about a polynomial function f(x): it has degree 3, the leading coefficient is negative, and it has zeros at x=-5,-1,3. Sketch a graph of f(x) given this information.
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