Synthetic Division

Front

What is synthetic division?

Back

A method used to divide 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 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

In synthetic division, what does the left-hand box represent?

Back

The value of 'c' from the divisor (x - c) used in the division.

Tags

CCSS.HSA.APR.D.6

Front

How do you handle missing terms in synthetic division?

Back

Use a zero as a placeholder for any missing coefficients.

Tags

CCSS.HSA.APR.D.6

Front

What is the result of synthetic division called?

Back

The quotient, which is a polynomial of one degree less than the original polynomial.

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder in synthetic division?

Back

The value left over after dividing the polynomial, which can be found in the last position of the synthetic division process.

Tags

CCSS.HSA.APR.D.6

Front

How do you write the final answer after synthetic division?

Back

Combine the quotient and the remainder, typically in the form: quotient + (remainder)/(divisor).

Tags

CCSS.HSA.APR.D.6

Front

What is a cubic binomial?

Back

A polynomial with two terms where the highest degree is three, e.g., 2x^3 + 5.

Front

What mistake did Cam make in his synthetic division?

Back

He did not use a zero placeholder for the x^3 term.

Tags

CCSS.HSA.APR.D.6

Front

If dividing x^6 + 4x^3 + 2, how many zeros are needed in synthetic division?

Back

4 zeros are needed for the missing x^5 and x^4 terms.

Tags

CCSS.HSA.APR.D.6