Polynomials: Remember Your Remainders True or False
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1.
Find the remainder when
x
2
–
x
+ 1 is divided by
x
– 2.->0
True
False
2.
Find the remainder when 3
x
2
+
x
– 1 is divided by
x
+ 1.->2
True
False
3.
Find the remainder when
x
3
+
x
2
+
x
- 2 is divided by
x
+ 2.->-9
True
False
4.
Find all the roots of
P
(
x
) = (
x
– 2)(
x
+ 4)(
x
+ 10)->2, -4, -10
True
False
5.
Find all the roots of
P
(
x
) = (
x
+ 1)(
x
+ 2)(
x
– 3)->-1, -2, 3
True
False
6.
Choose the polynomial with roots -2, 3, and 7.->
P
(
x
) = (
x
+ 2)(
x
– 3)(
x
– 7)
True
False
7.
What are the roots of
x
3
– 2
x
2
–
x
+ 2?->
x
= -4, 4, and 2
True
False
8.
When graphing the polynomial
x
3
– 2
x
2
–
x
+ 2, which of the following best describes the graph's end behavior?->Both ends down
True
False
9.
When graphing the polynomial
-x
7
+
x
3
– 2
x
2
–
x
+ 2, which of the following best describes the number of turns?->At most 6
True
False
10.
Which of the following best describes the graph of
x
4
– 29
x
+ 100?->One end up and one end down; no more than 3 turns
True
False
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