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Finding Real Zeros of a Polynomial

Authored by Barbara White

Mathematics

9th - 12th Grade

CCSS covered

Finding Real Zeros of a Polynomial
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21 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x3 + 5x2 - 9x + 5

±1, 5, 1/2, 5/2
±1, 2, 5, 1/2, 5/2
±1, 5
±1, 2, 5, 1/2, 5/2, 2/5

Tags

CCSS.HSA.APR.B.2

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find all rational zeros, one zero has been given.
f(x) = 2x3+5x2-6x-9;   -3

-1,-3,-3
-1,-3,3/2
3,3,3
-3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The largest exponent determines the degree of the polynomial.

True
False

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

-3x2+x+4=0
How many roots does this equation have?
Hint: Use the Fundamental Theorem of Algebra

2
1
0
4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

According to the Rational Root Theorem, what are the all possible rational roots? 
2x3 - 11x2 + 12x + 9 = 0

±1,±2
±1,±3,±9
±1,±3±9,±1/2,±3/2,±9/2
±1,±2,±1/3,±2/3,±1/9,±2/9

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Use the Remainder Theorem to find the remainder for the division problem:
(x3-2x2+6x-6)
÷(x-3)

21
9
-33
0

Tags

CCSS.HSA.APR.B.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is another way to say "where a function crosses the x-axis"?

x-intercept

zero

root

all of these.

solution

Tags

CCSS.HSF-IF.C.7C

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