Dividing Polynomials with Synthetic Division

Mr. Anderson introduces synthetic division as a simpler alternative to long division for polynomials. He provides three examples: a basic example, one with missing terms, and a complex example involving fractions. The video emphasizes the step-by-step process and highlights the importance of handling coefficients and remainders correctly.

What is synthetic division primarily used for?

• Solving quadratic equations

• Dividing polynomials

• Finding the greatest common divisor

• Calculating derivatives

In synthetic division, what do you do with the divisor's sign?

• Keep it the same

• Multiply it by -1

• It is not relevant

• Change it to its opposite

What happens to the power of 'x' in the result of synthetic division?

• It decreases by one

• It becomes zero

• It remains the same

• It increases by one

What is the remainder in the first example of synthetic division?

• 0

• -2

• 4

• 2

How do you handle missing terms in synthetic division?

• Subtract them

• Add them with a coefficient of 0

• Add them with a coefficient of 1

• Ignore them

In the second example, what is the correct representation of the remainder?

• None of the above

• 28 over C minus 2

• 42 over C plus 2

• 42 over C minus 2

When dealing with a coefficient in front of the variable, what must you do before applying synthetic division?

• Subtract the coefficient from all terms

• Multiply all terms by the coefficient

• Divide all terms by the coefficient

• Add the coefficient to all terms

What is the final step when dealing with fractions in synthetic division?

• Subtract the divisor's coefficient from the remainder

• Add the divisor's coefficient to the remainder

• Divide the remainder by the divisor's coefficient

• Multiply the remainder by the divisor's coefficient

What is the correct way to handle a divisor like 'y + 1/3' in synthetic division?

• Use +1/3 in the box

• Use -1/3 in the box

• Ignore the fraction

• Multiply everything by 3

How do you represent a remainder in the final answer of synthetic division?

• As a separate term

• Added to the last term

• As a fraction over the divisor

• It is omitted