AAT - Long Division & Synthetic Division

Use long division and divide.  What is your

remainder?

 

(x5+5x4-x3-7x2-2x+1)÷(x2-2)

Use long division and divide.  What is your

remainder?

(2x4+7x3-4x2-27x-18) ÷ (x-2)

Use synthetic division to determine the remainder.

 

(4x2-10x-21) ÷ (x-5)
Use synthetic division to determine the remainder.
(x5+x3+2x2-12x+8) ÷(x-2)

Find the vertex by completing the square.  

(Write it as an ordered pair with no spaces.)

F(x) = -x2 + 6x - 8

Find the vertex by completing the square.  

(Write it as an ordered pair with no spaces.)

f(x) = 2x2+8x+7

What is the maximum height of a baseball if

the flight of the baseball is given by the

following function.  (You may use a calculator.)

f(x) = -.0032x2 + x + 3
Solve any method.  State the remainder.
(3x4+7x3+2x2+15x+5) ÷ (3x+1)

Use synthetic division to find f(-5) if

 

f(x) = 3x3-2x2+1

A rectangular plot is to be bounded on one side by

a barnd and the other 3 sides by a fence.  With

1200 feet of fence at your disposal, what is the

largest area you can enclose?  (Put a comma in

 your answer.)

Given that 2 is a zero, what are the remaining zeros?

(Separate answers with a comma and no spaces.

Put answers in order from least to greatest.)

f(x) = 3x3+5x2-26x+8

If 3 and -1 are roots, what are the remaining zeros?

(Separate answers with a comma and no spaces.

Put answers in order from least to greatest.)

f(x) = 2x4+5x3-29x2-17x+15

Find the cubic polynomial with the given

roots of 0, -2 and 3. 

(Write the answer in standard

 form with no spaces and use the "carrot" button for

exponents.)

Simplify using synthetic division.  What is

the remainder?

(x4 - 3) ÷ (x + 2)

Simplify using long division. 

(Write the answer in standard form with no spaces

and use the "carrot" button for exponents.)

(3x6+x4-6x2-2) ÷ (3x2 + 1)
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