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Solving Polynomial Equations for Zeros

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Solving Polynomial Equations for Zeros
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19 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by Factoring:  4x2 + 11x - 3 = 0

x = -3/4 and x = -1

x = 4 and x = 3

x = 1/4 and x = -3

x = -1/4 and x = 3

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the zeros of the function?

4,1

3,1,-2,-5

-3, -1, 2, 5

-2,4

Tags

CCSS.HSA.APR.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor:
 f(x) = x3-12x2+47x-60=0 when 5 is a zero. (so f(5) = 0)

(x-3)(x-4)(x-5)=0

(x+1)(x-4)(x-5)=0

(x-3)(x-4)(2x-5)=0

(x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

4.

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

5.

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

6.

MATH RESPONSE QUESTION

1 min • 1 pt

What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Mathematical Equivalence

ON

7.

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 ​ (a)   zeros. The graph of the function has an x-intercept at ​ ​ (b)   .

3

(2, 0)

4

5

2

(4, 0)

(0, 0)

Tags

CCSS.HSF-IF.C.7C

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