Polynomial Long Division Techniques

The video tutorial introduces Algebra 2 students to polynomial long division, starting with a review of basic long division with numbers. The instructor provides three examples of long division with numbers to illustrate the process. The tutorial then transitions to polynomial long division, explaining the division algorithm and how it relates to the process used with numbers. The instructor uses the mnemonic 'Does McDonald's Sell Cheeseburgers' to help students remember the steps: divide, multiply, subtract, and check. The video concludes with a setup for polynomial long division, preparing students for further examples in the next video.

What is the main reason for learning long division by hand?

• To prepare for standardized tests

• To improve mental math skills

• To understand the process for polynomial long division

• To solve real-life problems

In the example of dividing 48 by 24, what is the remainder?

• 24

• 48

• 0

• 2

When dividing 589 by 105, what is the quotient?

• 5

• 589

• 6

• 561

What is the first step in the division algorithm?

• Multiply

• Divide

• Check

• Subtract

What is the mnemonic used to remember the steps of the division algorithm?

• Do Multiplication Subtraction Check?

• Divide Multiply Subtract Check

• Does McDonald's Sell Cheeseburgers?

• Does McDonald's Serve Coffee?

In polynomial long division, what is the term for the number being divided?

• Quotient

• Dividend

• Remainder

• Divisor

What do you do after dividing in polynomial long division?

• Add

• Subtract

• Multiply

• Check

What should you do to the signs when subtracting in polynomial long division?

• Keep them the same

• Change them to the opposite

• Multiply them

• Ignore them

What is the remainder when dividing 3x^2 - 11x - 26 by x - 5?

• 0

• 4

• 5

• -6

Where is the remainder written in polynomial long division?

• Next to the quotient

• Over the divisor

• Below the dividend

• Above the quotient