Synthetic Division

Front

What is Synthetic Division?

Back

A method for dividing a polynomial by a linear divisor of the form (x - c) without using long division.

Front

When can we use Synthetic Division?

Back

Synthetic Division can be used when dividing a polynomial by a linear factor with a leading coefficient of 1.

Front

What is the first step in Synthetic Division?

Back

Write down the coefficients of the polynomial and the zero of the divisor.

Front

How do you find the zero of the divisor (x - c)?

Back

Set the divisor equal to zero: x - c = 0, thus c is the zero.

Front

What do you do with the first coefficient in Synthetic Division?

Back

Bring down the first coefficient as is.

Front

What is the process after bringing down the first coefficient?

Back

Multiply the zero of the divisor by the coefficient just brought down, and write the result under the next coefficient.

Front

What do you do after writing the multiplication result?

Back

Add the result to the next coefficient.

Front

What is the remainder in Synthetic Division?

Back

The last number obtained after completing the addition process is the remainder.

Front

What does the quotient represent in Synthetic Division?

Back

The quotient represents the result of the division, expressed as a polynomial.

Front

What is a common mistake in Synthetic Division?

Back

Not using a zero placeholder for missing degrees in the polynomial.