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.

Divide.

Multiple Choice

$$\frac{3x^3-4x^2-9x+10}{x-2}$$  

What is the root of the divisor

$$x-2$$  ?

• 2

• -2

Multiple Choice

$$\frac{3x^3-4x^2-9x+10}{x-2}$$  Which coefficients will go inside the synthetic division array?

• 3, 4, 9, 10

• 3, -4, -9, 10

Multiple Choice

$$\frac{3x^3-4x^2-9x+10}{x-2}$$     What is the remainder?

• 0

• a number other than 0

Multiple Choice

$$\frac{3x^3-4x^2-9x+10}{x-2}$$   What are the coefficients of the quotient?

• 3, 10, 11

• 3, 2, -5

Multiple Choice

What is the final answer?

$$\frac{3x^3-4x^2-9x+10}{x-2}=?$$  

• $$3x^2+2x-5$$  

• $$3x^3+2x^2-5x+0$$  

Multiple Choice

• x+7

• x+2

• X-10

• X-7

Multiple Choice

Which would be better to use?

• Long division

• Synthetic division

Multiple Choice

(2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

Need more help on division?

​Try the videos in this quizizz!