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.

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder in polynomial division?

Back

The value left over after dividing a polynomial by another polynomial, which can be found using synthetic division.

Tags

CCSS.HSA.APR.D.6

Front

What is a zero placeholder in synthetic division?

Back

A zero used in the synthetic division process to represent missing terms in a polynomial.

Tags

CCSS.HSA.APR.D.6

Front

How do you determine the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is the quotient in polynomial division?

Back

The result obtained from dividing one polynomial by another.

Tags

CCSS.HSA.APR.D.6

Front

What is the significance of the factor (x - c) in synthetic division?

Back

It indicates that c is a root of the polynomial, and synthetic division can be used to find the quotient and remainder.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

You must include a zero as a coefficient placeholder for that missing term.

Front

What is the first step in synthetic division?

Back

Write down the coefficients of the polynomial in descending order of degree.

Tags

CCSS.HSA.APR.D.6

Front

How do you handle negative coefficients in synthetic division?

Back

Treat them as you would positive coefficients; the process remains the same.

Tags

CCSS.HSA.APR.D.6

Front

What is the result of dividing (x^2 + 3x + 7) by (x + 2)?

Back

The remainder is 5.

Tags

CCSS.HSA.APR.B.2