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Q1W6:PreTest

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the remainder when x34x2+5x2x^3-4x^2+5x-2  is divided by x1.x-1.  

a)

0

b)

1

c)

-1

d)

2

2.

What is the greatest common common factor of the polynomial 3x5+6x412x33x^5+6x^4-12x^3  ?

a)

x2x^2  

b)

2x22x^2  

c)

3x33x^3  

d)

4x44x^4  

3.

Find all the possible rational roots of the polynomial 2x33x2+2x+52x^3-3x^2+2x+5   .

a)

±1,±5\pm1,\pm5  

b)

±1,±5,±15\pm1,\pm5,\pm\frac{1}{5}  

c)

±1,±5,±12,±52\pm1,\pm5,\pm\frac{1}{2},\pm\frac{5}{2}  

d)

none of these

4.

Which of the following is NOT the factor of the polynomial x3+3x2x3x^3+3x^2-x-3  ?

a)

x+3x+3  

b)

x+1x+1  

c)

x1x-1  

d)

x2x-2  

5.

Find the value of k so that x+1x+1  is a factor of kx2+2x35x2kx^2+2x^3-5x-2  .

a)

1-1  

b)

11  

c)

22  

d)

2-2  

6.

What is the degree of polynomial of x25x+2x32-x^2-5x+2x^3-2  ?

a)

1

b)

2

c)

3

d)

5

7.

What is the leading coefficient of the polynomial 2+2x35xx2-2+2x^3-5x-x^2  ?

a)

-2

b)

2

c)

5

d)

-1

8.

How many positive roots does the polynomial x2+2x35x2-x^2+2x^3-5x-2  ?

a)

0

b)

1

c)

2

d)

3

9.

If x2x-2  is one of the factors of the polynomial 2x3x25x22x^3-x^2-5x-2  , then find the other factors.

a)

(2x+1)&(x+2)\left(2x+1\right)\&\left(x+2\right)  

b)

(2x1)&(x+1)\left(2x-1\right)\&\left(x+1\right)  

c)

(2x+1)&(x+1)\left(2x+1\right)\&\left(x+1\right)  

d)

(2x+1)&(x1)\left(2x+1\right)\&\left(x-1\right)  

10.

Find the quotient when x3+3x2x3x^3+3x^2-x-3  is divided by x+3.x+3.  

a)

x+3x+3  

b)

x1x-1  

c)

(x+1)(x1)\left(x+1\right)\left(x-1\right)

d)

x+2x+2