Free Printable Ch. 4 Test (Calculator Active)

1.

Factor the following polynomial completely: $x^3-x^2+4x-4$

a)

$\left(x-1\right)\left(x-2\right)\left(x+2\right)$

b)

$\left(x-1\right)\left(x^2+4\right)$

c)

$\left(x+1\right)\left(x^2-4\right)$

d)

$\left(x+1\right)\left(x-2\right)\left(x+2\right)$

2.

Solve: $\frac{-3}{x^2+3x}+\frac{x+2}{x+3}=\frac{1}{x}$

a)

$x=2$

b)

$x=3,\ x=-2$

c)

$x=-2$

d)

$x=-3,\ x=2$

3.

Find the partial fraction decomposition.

a)

b)

c)

d)

4.

Solve: $\frac{x\left(x-3\right)}{\left(x+1\right)\left(x+2\right)}<0$

a)

$x<-2,\ x>3$

b)

$x<-2,\ -1<x<0,\ x>3$

c)

$-2<x<-1,\ -1<x<3$

d)

$-2<x<-1,\ 0<x<3$

5.

Using the equation and graph given above, how many total roots does the equation have?

a)

1

b)

2

c)

3

d)

4

6.

Using the graph and equation above, how many real roots does the equation have?

a)

1

b)

2

c)

3

d)

4

7.

Using the graph and equation above, how many imaginary roots does the equation have?

a)

1

b)

2

c)

3

d)

4

8.

Using the graph and equation above, write the polynomial in factored form.

a)

$\left(x-1\right)\left(x+2\right)=0$

b)

$\left(x-1\right)\left(x+2\right)\left(x^2+1\right)=0$

c)

$\left(x+1\right)\left(x-2\right)\left(x^2+1\right)=0$

d)

$\left(x+1\right)\left(x-2\right)=0$

9.

Using the graph and equation above, solve and state ALL solutions.

a)

$x=\ -1,\ 2$

b)

$x=1,\ -2,\ i,\ -i$

c)

$x=1,\ -2$

d)

$x=-1,\ 2,\ i,\ -i$

Ch. 4 Test (Calculator Active)

Total questions: 9

Worksheet time: 7mins

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