Is (x-2) a factor of f(x)= x 3 -8x 2 +14x-4?

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

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

No, (x-2) is not a factor. The remainder is zero.

No, (x-2) is not a factor. There is a remainder.

What does it mean to be a factor of a number?

Divides evenly with a remainder of zero.

Divides unevenly with a remainder of 1.

Cam divided (x 4 + 3x 2 - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

Cam did not use a zero place holder for the x 3 term.

Cam wrote the remainder incorrectly.

Cam added instead of subtracting the rows.

Cam should have used -2 as his division since the factor was x-2.

Polynomial Zeros Synthetic Division

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.D.6, HSA.APR.B.2, HSF-IF.C.7C

+1

Standards-aligned

Barbara White

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

2x³ - x² + x + 9

2x² - x + 1

2x² - x + 1 + 9/x-2

2x² - 9x - 15 - 23/x-2

Tags

CCSS.HSA.APR.D.6

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

(3x³ + 5x - 1) ÷ (x + 1)

3x³ - 3x² + 8x - 9

3x² - 3x + 8 - 9/x+1

3x² + 3x + 8 + 7/x+1

3x³ + 3x² + 8x + 7

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

(2x³ + 5x² + 9) ÷ (x + 3)

2x² - x + 3

2x³ - x² + 3x

2x² + 11x + 33 + 108/x+3

2x² - 5x + 12

Tags

CCSS.HSA.APR.D.6

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

(2x³ - 5x - 7) ÷ (x - 2)

2x³ - 4x² + 3x - 13

2x³ + 4x² +3x - 1

2x² - 4x + 3 - 13/x-2

2x² + 4x + 3 - 1/x-2

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

3x³ - 5x² - 2x + 8

3x² + x - 6

3x² - 5x - 2 + 8/x+1

3x³ + x² - 6x

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

2x² - x - 2

2x³ - x² - 2x

2x² + 15x + 54 + 208/x+4

2x³ + 15x² + 54x + 208

Tags

CCSS.HSA.APR.D.6

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Let f(x) = 3x^2 - 9x +2.
Is k = -3 a zero of the function?

yes

no

Tags

CCSS.HSF-IF.C.7C

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Polynomial Zeros Synthetic Division

25 questions

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

(3x³ + 5x - 1) ÷ (x + 1)

(2x³ + 5x² + 9) ÷ (x + 3)

(2x³ - 5x - 7) ÷ (x - 2)

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

Let f(x) = 3x^2 - 9x +2.
Is k = -3 a zero of the function?

Let f(x) = 4x^2 -33x -27. Is k = 9 a zero of the function?

x³-3x²-10x+24 ÷ x+3

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Polynomial Zeros Synthetic Division

25 questions

(2x3 - 5x2 + 3x + 7) ÷ (x - 2)

(3x3 + 5x - 1) ÷ (x + 1)

(2x3 + 5x2 + 9) ÷ (x + 3)

(2x3 - 5x - 7) ÷ (x - 2)

(3x3 - 2x2 - 7x + 6) ÷ (x + 1)

(2x3 + 7x2 - 6x - 8) ÷ (x + 4)

Let f(x) = 3x^2 - 9x +2.Is k = -3 a zero of the function?

Let f(x) = 4x^2 -33x -27. Is k = 9 a zero of the function?

x3-3x2-10x+24 ÷ x+3

Use synthetic division:(2x3 - 5x - 7) ÷ (x - 2)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

(3x³ + 5x - 1) ÷ (x + 1)

(2x³ + 5x² + 9) ÷ (x + 3)

(2x³ - 5x - 7) ÷ (x - 2)

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

Let f(x) = 3x^2 - 9x +2.
Is k = -3 a zero of the function?

x³-3x²-10x+24 ÷ x+3

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)