Mastering Synthetic Division Techniques

What is synthetic division primarily used for?

• Dividing one polynomial by x plus or minus a number

• Multiplying polynomials

• Finding the roots of a polynomial

• Dividing one polynomial by another polynomial

What number do you place in the corner when setting up synthetic division?

• The opposite sign of the number in the denominator

• The constant term of the polynomial

• The coefficient of the highest degree term

• The number that makes the denominator zero

If the denominator is x - 3, what number should be placed in the corner?

• 1

• 0

• -3

• 3

What is the first step after writing the coefficients in a row?

• Multiply the first coefficient by the constant

• Add the coefficients

• Draw a horizontal line below the coefficients

• Drop down the first coefficient

What do you do after multiplying the first coefficient by the constant?

• Add the result to the next coefficient

• Subtract the result from the next coefficient

• Write the result in the next column

• Divide the result by the next coefficient

What is the remainder in synthetic division?

• The sum of all coefficients

• The product of the constant and the last coefficient

• The last number in the final column

• The first number in the final row

How do you write the final answer in synthetic division?

• Using the original polynomial

• Using the new coefficients and the remainder over the denominator

• Using the new coefficients only

• Using the remainder only

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

• Add a one as a placeholder

• Add a zero as a placeholder

• Repeat the previous term

• Ignore the missing term

What does it mean if the last number in the final column is zero?

• The polynomial is incomplete

• The constant is incorrect

• The division is incorrect

• There is no remainder

What is the first step in synthetic division?

• Add the coefficients

• Write the coefficients of the polynomial

• Multiply the coefficients

• Draw a little corner