Dividing Polynomials with Synthetic Division

What is the first step in synthetic division?

• Add the coefficients

• Subtract the divisor from the polynomial

• Multiply the first coefficient by the divisor

• Drag down the first coefficient

What must be true about the polynomial's form before applying synthetic division?

• It must be factorized

• It must be in ascending power order

• It must include all powers, even with zero coefficients

• It must only contain positive coefficients

What is the correct setup for the divisor in synthetic division?

• Divide the divisor by the leading coefficient

• Use the divisor as is

• Use the opposite sign of the divisor

• Multiply the divisor by the leading coefficient

In synthetic division, what operation is performed after dragging down the leading coefficient?

• Division

• Subtraction

• Multiplication

• Addition

What does a zero remainder in synthetic division indicate about the divisor?

• The polynomial is incomplete

• The divisor is not a factor of the polynomial

• The divisor is a factor of the polynomial

• The divisor is incorrect

What does the final number in the synthetic division process represent?

• The highest coefficient

• The lowest coefficient

• The divisor

• The remainder

How is the polynomial reconstructed after synthetic division?

• From highest to lowest power

• From lowest to highest power

• Random order

• Alphabetical order

How do you handle missing powers in a polynomial for synthetic division?

• Ignore them

• Reorder the polynomial

• Use a placeholder of 1

• Use a placeholder of 0

What should be done if a polynomial degree is missing in the sequence for synthetic division?

• Stop the division process

• Reorder the polynomial without the missing degree

• Add the missing degree with a coefficient of 1

• Add the missing degree with a coefficient of 0

What indicates that a divisor is not a factor of the polynomial in synthetic division?

• All coefficients are zero

• A negative remainder

• Zero as the leading coefficient

• A non-zero remainder