Dividing Polynomials with Synthetic Division Techniques

What is the first step in synthetic division?

• Multiply the coefficients

• Add the coefficients

• Bring down the first coefficient

• Set the denominator equal to zero

In synthetic division, what do you do after bringing down the first coefficient?

• Subtract it from the next coefficient

• Divide it by the next coefficient

• Multiply it by the number outside the box

• Add it to the next coefficient

If there is no remainder in synthetic division, what can be said about the divisor?

• It is a quadratic factor

• It is an exponential factor

• It is a linear factor

• It is not a factor

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

• Add one as a placeholder

• Add a zero as a placeholder

• Subtract one as a placeholder

• Ignore the missing term

What is the remainder when dividing (2x^3 - 5x - 7) by (x - 2) using synthetic division?

• 2

• 0

• 1

• -1

If a polynomial has a remainder after synthetic division, what does it imply about the divisor?

• It is a quadratic factor

• It is an exponential factor

• It is not a linear factor

• It is a linear factor

What is the denominator when the indicated value of x is -3?

• x - 3

• x + 1

• x + 3

• x - 1

What is the quotient when dividing (2x^3 - 2x + 3) by (x + 3) using synthetic division?

• 2x^2 - 2x + 3

• 2x^2 + 2x + 3

• 2x^2 - 2x - 3

• 2x^2 + 2x - 3

What is the remainder when dividing (2x^3 - 2x + 3) by (x + 3)?

• 1

• 2

• 0

• -1

What is the remainder when dividing a polynomial by (x + 7) if the remainder is 10.90?

• 1

• 7

• 0

• 10.90