Rational Number Theorem

Rational Number Theorem

10th Grade

8 Qs

quiz-placeholder

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Rational Number Theorem

Rational Number Theorem

Assessment

Quiz

Mathematics

10th Grade

Hard

CCSS
HSA.APR.B.2, HSF-IF.C.7C

Standards-aligned

Created by

Barbara White

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is (x-3) a factor of
(x- 3x+ 2x + 2)?
Yes
No

Tags

CCSS.HSA.APR.B.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x3 + 2x2 - 11x - 12
-3
-4
1
6

Tags

CCSS.HSF-IF.C.7C

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve by using Rational Root Theorem: 
x3 + 3x2 - 6x - 8 = 0
 -4, -1, 2
-4, -1, ±√2
1, 2, 4
4,-1,√2

Tags

CCSS.HSF-IF.C.7C

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve by using Rational Root Theorem: 
x3 - 7x - 6 = 0
1, 2, 3
-1, -2, - 3
-1, -2, 3
1,-2,-3

Tags

CCSS.HSA.APR.B.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve by using Rational Root Theorem: 
2x3 - 11x2 + 12x + 9 = 0
-1, 1, 3
-1, 3/2, 3 
-1/2, 3, 3
-1/2, 1, 3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x3 + 2x2 - 6x + 8
±1, 8
±1, 2, 4, 8
±1, 2, 4
1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x3 + 2x2 - 6x + 7
±1, 7, 1/3, 7/3
±1, 7
±1, 3, 7, 7/3
±1, 3, 7, 1/3, 7/3

8.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Below are four possible zeros for this polynomial.
Figure out which one "works" and can be used to find the others.
f(x) = x3 - 8x2 - 23x + 30
3
-1
-10
1

Tags

CCSS.HSF-IF.C.7C