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Finding Zeros of a Polynomial Function

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Finding Zeros of a Polynomial Function
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How many zeros does the polynomial function
 P(x) = 3x4+4x-8 have?

1

2

3

4

2.

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

3.

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

4.

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find all the real zeros of the function 
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.

x = 1/2, -6

x = -1/2, 6

x = 4, -1/2, 6

x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

6.

DROPDOWN QUESTION

1 min • 2 pts

A polynomial function is shown below in factored form. f\left(x\right)=5\left(2x+3\right)\left(x+4\right)\left(x-2\right) Which of these statements are true? The function has exactly ​ zeros. The graph of the function has an x-intercept at ​ .

3

(2, 0)

4

5

2

(4, 0)

(0, 0)

Tags

CCSS.HSF-IF.C.7C

7.

MATH RESPONSE QUESTION

1 min • 1 pt

A function is shown below. H\left(x\right)=4x^3-5x^2-23x+6 What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7C

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