DescriptionEXAM 4

Please show your work in the space provided. No Credit will be given

for answers without supporting work. Instructor: Andy Pogosyan

1) Divide using the long division method

x3 + 6 x 2 + 4 x − 7

x+5

2) Use synthetic division to divide.

3 x3 + 7 x 2 − 4 x + 12

x +1

3) Solve each equation and check your answer.

1

3x

2

− 2

=

x − 4 x − 16 x + 4

4) Solve the equation for the specified variable.

A=

h( a + b)

for h

2

5) Hoses A and B together can fill a swimming pool in 6 hours. If hose A

alone takes 10 hours to fill the pool, how long would it take hose B to fill

the pool?

6) Multiply.

2

1

4

6 x 3 (2 x 3 − 7 x 3 )

7) Simplify

1

3

x ⋅x

4

3x 3

6

3

Perform the indicated operation.

8) ( 2 7 − 3 5 )( 7 + 2 5 )

9) 4 x3 + 2 x 9 x − 3 16 x3

10) Rationalize the denominator.

a)

12

5x

b)

8

3+ 5

11) Find the distance between two pair of points and a midpoint of the

line segment.

( −2, −4 ) and ( 5, −18)

12) Solve.

x− x−2 =

4

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