Synthetic Division of Polynomials Quiz

What is synthetic division primarily used for?

• Solving systems of linear equations

• Finding the roots of quadratic equations

• Dividing polynomials by linear factors

• Calculating the derivative of a function

When performing synthetic division, what should you do if a term is missing in the polynomial?

• Add a one as a placeholder

• Add a zero as a placeholder

• Ignore the missing term

• Repeat the previous term

In synthetic division, what is the first step after writing down the coefficients?

• Divide the coefficients

• Drop down the first coefficient

• Add the coefficients

• Multiply the coefficients

What happens to the degree of the polynomial after performing synthetic division?

• It doubles

• It increases by one

• It remains the same

• It decreases by one

In Example 1, what is the remainder when dividing by X plus 3?

• 0

• 13

• 7

• 21

In Example 2, what is the divisor used in the synthetic division?

• X minus 3

• X plus 3

• X minus 2

• X plus 2

What does a zero remainder indicate in synthetic division?

• The divisor is not a factor

• The divisor is a factor

• The polynomial is quadratic

• The polynomial is linear

In Example 3, what is the first coefficient used in the synthetic division?

• 1

• 2

• 4

• 3

What is the remainder in Example 3 when dividing by X plus 2?

• 24

• 48

• 0

• 89

If the remainder is zero, what can be said about the divisor in relation to the polynomial?

• It is a quadratic factor

• It is an irrational factor

• It is not a factor of the polynomial

• It is a factor of the polynomial