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 the coefficients of the polynomial in a row, and place the value of c (from x - c) to the left.

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).

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, which can be found by evaluating the original polynomial at c.

Tags

CCSS.HSA.APR.D.6

Front

If dividing x^4 + 3x^2 - 4x - 2 by (x - 2), what is the value of c?

Back

c = 2.

Tags

CCSS.HSA.APR.B.2

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

How do you write the final answer in 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 the significance of the coefficients in synthetic division?

Back

They represent the terms of the polynomial being divided.

Tags

CCSS.HSA.APR.D.6