5B Long Division and Synthetic Division

Front

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

Back

Yes, (x-2) is a factor. The remainder is zero.

Tags

CCSS.HSA.APR.B.2

Front

What should be the order of the polynomial coefficients if (3x - 4x³ + 6x⁴ + 1) / (x + 3)?

Back

6, -4, 0, 3, 1

Tags

CCSS.HSA.APR.D.6

Front

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

Back

4

Tags

CCSS.HSA.APR.D.6

Front

Divide using synthetic division (2x³ + 4x² - 5) by (x + 3).

Back

2x² - 2x + 6 R(-23)

Tags

CCSS.HSA.APR.D.6

Front

The answer to a division problem is known as the...?

Back

quotient

Tags

CCSS.3.OA.A.2

Front

What is synthetic division?

Back

A simplified method of dividing polynomials using coefficients.

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder theorem?

Back

If a polynomial f(x) is divided by (x - c), the remainder is f(c).

Tags

CCSS.HSA.APR.B.2

Front

What is the relationship between factors and roots of a polynomial?

Back

If (x - c) is a factor of f(x), then c is a root of f(x).

Tags

CCSS.HSA.APR.B.2

Front

How do you determine if (x - c) is a factor of f(x)?

Back

Evaluate f(c). If f(c) = 0, then (x - c) is a factor.

Tags

CCSS.HSA.APR.B.2

Front

What is the standard form of a polynomial?

Back

A polynomial is in standard form when its terms are arranged in descending order of degree.