Synthetic Division

Front

What is synthetic division?

Back

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

Front

How many zeros are needed in the top row of synthetic division for the polynomial x^6 + 4x^3 + 2?

Back

4 zeros are needed.

Front

What is the order of coefficients for the polynomial (3x - 4x^3 + 6x^4 + 1) when divided by (x + 3)?

Back

6, -4, 0, 3, 1.

Front

What is the remainder when x^2 + 3x + 7 is divided by x + 2?

Back

The remainder is 5.

Front

What is the quotient in a division problem?

Back

The answer to a division problem.

Front

What is the first step in synthetic division?

Back

Set up the coefficients of the polynomial in descending order.

Front

How do you find the remainder using synthetic division?

Back

Evaluate the polynomial at the root of the divisor.

Front

What is the significance of the leading coefficient in synthetic division?

Back

It determines the highest degree of the resulting polynomial.

Front

What does the term 'quotient' refer to in polynomial division?

Back

The result of dividing one polynomial by another.

Front

What is the relationship between synthetic division and the Remainder Theorem?

Back

Synthetic division can be used to find the remainder of a polynomial when divided by a linear factor.