Synthetic Division

Front

What is synthetic division?

Back

A method used to divide a polynomial by a binomial of the form (x - c) without using long division.

Front

What is the first step in synthetic division?

Back

Write down the coefficients of the polynomial.

Front

How do you determine the value of 'c' in synthetic division?

Back

'c' is the value that makes the binomial (x - c) equal to zero.

Front

What do you do with the first coefficient in synthetic division?

Back

Bring it down unchanged.

Front

What is the purpose of synthetic division?

Back

To simplify the process of dividing polynomials and to find the quotient and remainder.

Front

What does a remainder of zero indicate in synthetic division?

Back

It indicates that the binomial is a factor of the polynomial.

Front

If a polynomial is missing a term, what should you do in synthetic division?

Back

Insert a zero as the coefficient for the missing term.

Front

What is the result of (3x^3 + 5x - 1) ÷ (x + 1)?

Back

3x^2 - 3x + 8 - 9/(x + 1).

Front

What is the result of (2x^3 + 5x^2 + 9) ÷ (x + 3)?

Back

2x^2 - x + 3.

Front

What is the next step after bringing down the first coefficient in synthetic division?

Back

Multiply the divisor 'c' by the number just brought down.