Review of Polynomial Division

Review of Polynomial Division

Make sure you have pen/paper and calculators at the ready!

Long division...

Multiple Choice

$$\frac{10x^3+37x^2+37x+6}{5x+1}=?$$  

• $$2x^2+4x+6$$  

• $$2x^2-7x-6$$  

• $$2x^2-7x+6$$  

• $$2x^2+7x+6$$  

Synthetic division...

• Why? 

• First: Calculate the root (=zero) by setting the divisor equal to zero

• Second: List all the coefficients of the dividend, making sure to replace missing ones with a 0

• Third: Bring down the first coefficient

• Fourth: Multiply the coefficient by the root

• Five: Add the product to the next coefficient and repeat steps four and five.

Using the steps to the right, divide

Multiple Choice

What is the root of the divisor

$$x-2$$  ?

• 2

• -2

Multiple Choice

Which coefficients will go inside the synthetic division array?

• 3, 4, 9, 10

• 3, -4, -9, 10

Multiple Choice

What is the remainder?

• 0

• a number other than 0

Multiple Choice

What is the final answer?

$$\frac{3x^3-4x^2-9x+10}{x-2}=?$$  

• $$3x^2+2x-5$$  

• $$3x^3+2x^2-5x+0$$