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097 Factor Theorem
By Marjorie Brewer
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Last updated about 5 years ago
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Bell Assignment: p349 #88, 90, 92
Question 1
1.
Graph f(x)=2x^{3}-4x^2+x+8, and then answer
[2]
,
[3]
, and
[4]
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Question 2
2.
What are the x-coordinate(s) of extrema for
[1]
?
Question 3
3.
for
[1]
describe the end behavior
Question 4
4.
What are the zero(s) of
[1]
?
Notes L5-6: Factor Theorem
Question 5
5.
Which is the Remainder Theorem?
If you divide the problem by x-r, you can find the remainder.
If P(x) is divided by x-r, then P(r) is the value of the remainder.
P(r) is a factor.
If P(r) is divided by x-c, then it is a factor.
Question 6
6.
Which is the Factor Theorem?
P(r) is a factor.
The binomial x-r is a factor of P(x) if and only if P(r)=0.
If you divide the problem by x-r, you can find the remainder.
If P(r) is divided by x-c, then it is a factor.
Question 7
7.
What does the Factor Theorem mean?
Question 8
8.
Is
a factor of
Yes
No
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Question 9
9.
Is
a factor of
Yes
No
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Question 10
10.
Given f(x)=3x^{2}+2x+k and the remainder when f(x) is divided by x-3is 32, then what is the value of k?
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Question 11
11.
f(x)=2x^{3}-5x^2-28x+15
Given that x+3 is a factor of f(x), find the other factor.
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Question 12
12.
Use
[11]
: Finish factoring f(x). Write f(x) as a product of all three factors.
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Question 13
13.
Use
[12]
: State zeros of f(x).
Question 14
14.
Confirm your answer to
[13]
by graphing the polynomial.
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Question 15
15.
Why does the graph confirm your answers?
Question 16
16.
Given g(x)=x^{3}-x^2-10x-8.
If x+2 is a factor of g(x), find the other factor.
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Question 17
17.
Use
[16]
: Factor g(x) completly. Write g(x) as a product of all three factors.
Question 18
18.
Write a polynomial function, p(x), that has a double zero of 1, and a double zero of -5.
Question 19
19.
Check
[18]
by graphing your equation.
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Question 20
20.
Choose all that are true
I am confident in this lesson.
I would like some assistance.
I can use the factor theorem.
I can use the remainder theorem.
I can synthetically divide and find the other zeros.