Find all roots

Find all roots

11th Grade

10 Qs

quiz-placeholder

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Find all roots

Find all roots

Assessment

Quiz

Mathematics

11th Grade

Medium

Created by

Amy Maddox

Used 9+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

State 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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write a polynomial function of least degree in standard form that has the following roots: 
 3, 5-3,\ \sqrt{5}  

 f(x)=(x+3)(x25)f\left(x\right)=\left(x+3\right)\left(x^2-5\right)  

 f(x)=(x3)(x5)f\left(x\right)=\left(x-3\right)\left(x-\sqrt{5}\right)  

 f(x)=x3+3x25x15f\left(x\right)=x^3+3x^2-5x-15  

 f(x)=x33x2+5x+15f\left(x\right)=x^3-3x^2+5x+15  

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

is -3 a zero of f(x)=3x3+2x25x+2f\left(x\right)=3x^3+2x^2-5x+2 

yes

no

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is (x - 2) a factor of f(x)= x3 - 8x2 + 14x - 4?

Yes, (x - 2) is a factor. There is a remainder.

No, (x - 2) is not a factor. The remainder is zero.

Yes, (x - 2) is a factor. The remainder is zero.

No, (x - 2) is not a factor. There is a remainder.

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find all rational zeros, one zero has been given.

f(x) = x3 - 3x2 - x + 3; 3

2, 4, 3

-1, 1, 3

3, 2, 1

4, 5, 6

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

State all rational zeros, one zero has been given.

f(x) = x3 - 5x2 - 2x + 24; -2

-2, 1, 0

-2, -3, -4

4, 3, -2

0, 0, 0

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

State all zeros of the polynomial 4x3 - 17x2 - 150x - 189 if one zero is 9.

-3, -9, 0

-7, 9, -3

-3, -7/4, 9

-3, -4/7, 9

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