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Worksheets

3rd ST

Total questions: 17

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Which of the following is the divisor?

a)

x35x2+6x2x^3-5x^2+6x-2

b)

0

c)

(x-1)

d)

x24x+2x^2-4x+2

2.

Which of the following is the dividend?

a)

x35x2+6x2x^3-5x^2+6x-2

b)

0

c)

(x-1)

d)

x24x+2x^2-4x+2

3.

Which of the following is the quotient?

a)

x35x2+6x2x^3-5x^2+6x-2

b)

0

c)

(x-1)

d)

x24x+2x^2-4x+2

4.

What is the remainder?

a)

x35x2+6x2x^3-5x^2+6x-2

b)

0

c)

(x-1)

d)

x24x+2x^2-4x+2

5.

Supply the missing quotient.

a)

+x

b)

-x

c)

-2x

d)

+2x

6.

What should be inside the expression inside the next blank?

a)

5x

b)

-5x

c)

-3x

d)

3x

7.

 Which of the following theorem states that “When we divide a polynomial f(x) by x−c the remainder is f(c)”?

a)

Remainder Theorem

b)

Rational Root

c)

Factor Theorem

d)

Synthetic Division 

8.

Find the remainder when 5x22x+15x^2-2x+1 is divided by (x+ 2).

a)

10

b)

15

c)

20

d)

25

9.

Using the Remainder Theorem, what is the remainder when  x4x3+2 x^4-x^3+2\  is divided by (x+ 2).

a)

10

b)

15

c)

20

d)

26

10.

What is the remainder when  6x207+56x^{207}+5 is divided by (x-1).

a)

1

b)

12

c)

5

d)

11

11.

Arrange the sequence of operations involved in dividing polynomials by long division:

a)

Divide, subtract, multiply, bring down

b)

Divide, multiply, subtract, bring down

c)

Bring down, multiply add

d)

Bring down, multiply, divide

12.

 Arrange the Arrange the sequence of operations involved in synthetic division:

a)

Divide, subtract, multiply, bring down

b)

Divide, multiply, subtract, bring down

c)

Bring down, multiply add

d)

Bring down, multiply, divide

13.

Dani divided  7x310x+11x257x^3-10x+11x^2-5  by (x+3) and obtained -317 as remainder as her solution. What is her error? 


i.    She did not change the sign of the divisor. 
ii.    She did not arrange the terms of the polynomial in decreasing powers of x.                                      
iii.    The sum in the third row is incorrect. 
iv.    The numerical coefficients in the first row were not properly written.

a)

i only

b)

ii only 

c)

ii and iv

d)

i and iii

14.

Which is a factor of x3-2x2-5x+6

a)

x - 2

b)

x+1

c)

x-3

d)

x+3

15.

Which is a factor of x3-7x+6

a)

x + 2

b)

x-1

c)

x-3

d)

x+1

16.

Given P(x) =3x3+2x2-x. What is the value of P(2)?

a)

20

b)

30

c)

40

d)

50

17.

(x-1)is a factor of (x3-1)

a)

YES

b)

NO