Mastering Synthetic Division Techniques

The video tutorial explains how to perform synthetic division on polynomials. It begins by setting up the division with the correct coefficients and emphasizes the importance of using zero as a placeholder for any missing terms. The tutorial then walks through the synthetic division process, highlighting the steps of multiplying diagonally and adding straight down. Finally, it interprets the result, explaining how to express the quotient and remainder.

What sign should you use if you are dividing by X plus 2?

• Negative 2

• Positive 2

• Positive 1

• Negative 1

What should you do if a term is missing in the polynomial?

• Add a zero as a placeholder

• Add one as a placeholder

• Ignore it

• Repeat the previous term

In what order should the degrees of the terms be written?

• Ascending order

• Random order

• Descending order

• Alphabetical order

What is the first step after drawing the line in synthetic division?

• Drop down the first term

• Divide the terms

• Multiply the terms

• Add the terms

What do you do after dropping down the first term in synthetic division?

• Add straight down

• Multiply on the diagonal

• Divide by the divisor

• Subtract the terms

What is the result of multiplying 2 times 3 in the synthetic division process?

• 5

• 8

• 6

• 7

What do you do after multiplying on the diagonal in synthetic division?

• Add straight down

• Divide by the divisor

• Multiply again

• Subtract the terms

What is the next step after adding straight down in synthetic division?

• Subtract the terms

• Divide by the divisor

• Drop down the next term

• Multiply on the diagonal again

What is the degree of the term after dividing X to the fourth by X minus 2?

• X to the fourth

• X squared

• X cubed

• X to the fifth

How should you handle the remainder in synthetic division?

• Put it over the divisor

• Ignore it

• Add it to the quotient

• Subtract it from the quotient