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POLYNOMIAL 2

Total questions: 12

Worksheet time: 33mins

Name
Class
Date
1.

If (x-2) is not a factor of (2x3-5x-7), what is the remainder?

a)

-13

b)

4

c)

13

d)

-1

2.

What is the remainder if

(x3 - 5x2 + 2x - 10) is divided by (x - 5)?

a)

0

b)

4

c)

7

d)

-1

3.

Which statement is true?

a)

(x-3) is a factor of (x3 - 3x2 + 2x + 2)

b)

(x-3) is not a factor of (x3 - 3x2 + 2x + 2)

c)

The remainder when (x3 - 3x2 + 2x + 2) is divided by (x-3) is zero.

d)

The remainder when (x3 - 3x2 + 2x + 2) is divided by (x-3) is not zero. The remainder is 17.

4.
What is the remainder when a3 - 4 is divided by a+2? 
a)
-2
b)
-6
c)
-12
d)
0
5.
Which term is missing in this problem?
(2x3 + 5x2 + 9) ÷
(x + 3)
a)
x4
b)
x3
c)
x2
d)
x
6.

Find the partial fraction decomposition.

a)
b)
c)
d)
7.

Find the partial fraction decomposition...

a)
b)
c)
d)
8.

State the type of partial fraction for

 x2x(x3)2\frac{x^2}{x\left(x-3\right)^2}  

a)

Linear Factor Method

b)

Repeated Linear Factor Method

c)

Quadratic Factor Method

d)

Log Division Factor Method

9.

State the type of partial fraction for

 5x26x+7(x1)(x2+3)\frac{5x^2-6x+7}{\left(x-1\right)\left(x^2+3\right)}  

a)

Linear Factor Method

b)

Repeated Linear Factor Method

c)

Quadratic Factor Method

d)

Log Division Factor Method

10.

Set up the partial fractions for

 3x(x+3)2\frac{3x}{\left(x+3\right)^2}  

a)

 Ax(x+3)+Bx(x+3)2\frac{Ax}{\left(x+3\right)}+\frac{Bx}{\left(x+3\right)^2}  

b)

 A(x+3)+B(x+3)2\frac{A}{\left(x+3\right)}+\frac{B}{\left(x+3\right)^2}  

c)

 Ax(x3)+Bx(x+3)\frac{Ax}{\left(x-3\right)}+\frac{Bx}{\left(x+3\right)}  

d)

 A(x3)+B(x+3)\frac{A}{\left(x-3\right)}+\frac{B}{\left(x+3\right)}  

11.

Set up the partial fractions for

 x+4x(x2+2)\frac{x+4}{x\left(x^2+2\right)}  

a)

 Axx+Bx(x2+2)\frac{Ax}{x}+\frac{Bx}{\left(x^2+2\right)}  

b)

 Ax+B(x2+2)\frac{A}{x}+\frac{B}{\left(x^2+2\right)}  

c)

 Ax+Bx+C(x2+2)\frac{A}{x}+\frac{Bx+C}{\left(x^2+2\right)}  

d)

 Axx+Bx+C(x2+2)\frac{Ax}{x}+\frac{Bx+C}{\left(x^2+2\right)}  

12.

 If x2(x3)(2x+1)A(x3)+ B(2x+1). Find A and BIf\ \frac{x-2}{\left(x-3\right)\left(2x+1\right)}\equiv\frac{A}{\left(x-3\right)}+\ \frac{B}{\left(2x+1\right)}.\ Find\ A\ and\ B 

a)

1/7 and 5/7

b)

-1/7 and -5/7

c)

-1/7 and 5/7

d)

-5/7 and 1/7