This work shows $$x^2-3x+5\div x-2$$ . What information does this reveal?

x-2 is not a factor of $$x^2-3x+5$$ since the remainder is 3.

x-2 is a factor of $$x^2-3x+5$$ since the remainder is 3.

This work shows $$x^2-3x+5\div x-2$$ . What information does this reveal?

2 is not a solution of $$x^2-3x+5$$ since the remainder is 3.

2 is a solution of $$x^2-3x+5$$ since the remainder is 3.

is a solution of $$5x^2-10x-40$$

Which statement accurately describes what this work demonstrates?

x+6 is not a factor of $$x^3-x^2-40x\ +13$$ .

x+6 is a factor of $$x^3-x^2-40x\ +13$$ .

x-6 is not a factor of $$x^3-x^2-40x\ +13$$ .

x-6 is a factor of $$x^3-x^2-40x\ +13$$ .

Complete the problem shown here. Use the remainder to determine whether 5 is a solution of $$p\left(x\right)=2x^3-12x^2+11x-5$$ .

5 is a solution of p(x) since the remainder is 0.

5 is a solution of p(x) since the remainder is 100.

5 is not a solution of p(x) since the remainder is 0.

5 is not a solution of p(x) since the remainder is 100.

Complete the problem shown here. Use the remainder to determine whether x-5 is a solution of $$p\left(x\right)=2x^3-12x^2+11x-5$$ .

x-5 is a factor of p(x) since 5 was a solution.

x-5 is not a factor of p(x) since 5 was not a solution.

x+5 is not a factor of p(x) since 5 was not a solution.

x+5 is a factor of p(x) since 5 was a solution.

The work here shows that dividing $$x^2+16$$ by x+4 results in a remainder of 32. Which statement is true based upon that work shown here?

x+4 is not a factor of $$x^2+16$$

x-4 is not a factor of $$x^2+16$$

Complete the synthetic division and use the remainder to determine a true statement concerning p(x) and its solutions.

-2 is not a solution of p(x) since the remainder is equal to 33.

-2 is a solution of p(x) since the remainder is equal to 0.

-2 is not a solution of p(x) since the remainder is equal to 1.

2 is not a solution of p(x) since the remainder is equal to -1.

Based on the remainder you found, which statement is true?

3 is not a solution of $$2x^3-15x+9$$ .

3 is a solution of $$2x^3-15x+9$$ .

-3 is a solution of $$2x^3-15x+9$$ .

-3 is not a solution of $$2x^3-15x+9$$ .

Based on the remainder you found, which statement is true?

x-3 is not a factor of $$2x^3-15x+9$$ .

x-3 is a factor of $$2x^3-15x+9$$ .

x+3 is not a factor of $$2x^3-15x+9$$ .

x+3 is a factor of $$2x^3-15x+9$$ .

Finish dividing $$p\left(x\right)=5x^3+34x^2+26x+C$$ by x+6. Determine what value C must equal if x+6 is a factor of p(x).

C would need to be equal to 12.

C would need to be equal to -12.

C would need to be equal to 300.

Remainder Theorem and Factor Theorem

Authored by William Rodgers

Mathematics

10th - 11th Grade

CCSS covered

Used 186+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Yes, x-3 is a factor of p(x) since the remainder is 0.

No, x-3 is not a factor of p(x) since the remainder is 0.

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Tags

CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Tags

CCSS.HSA.APR.D.6

MATCH QUESTION

15 mins • 5 pts

Match the following appropriately.
It is important you can recognize the connection between factors and solutions.

x-1 is a factor of p(x).

0 is a solution of p(x).

2x - 3 is a factor of p(x).

3 is a solution of p(x).

x - 3 is a factor of p(x).

3/2 is a solution of p(x).

x is a factor of p(x).

1 is a solution of p(x).

Tags

CCSS.HSF-IF.C.7C

MATCH QUESTION

3 mins • 5 pts

Match the following appropriately.
It is important you can recognize the connection between factors and solutions.

5/3 is a solution of p(x).

x + 3 is a factor of p(x).

-5 is a solution of p(x).

x - 5 is a factor of p(x).

-3 is a solution of p(x).

3x - 5 is a factor of p(x).

5 is a solution of p(x).

x + 5 is a factor of p(x).

Tags

CCSS.HSA.APR.B.2

MULTIPLE CHOICE QUESTION

1 min • 5 pts

1 is a solution of p(x)

1 is not a solution of p(x)

x -1 is a factor of p(x)

x+1 is not a factor of p(x)

Tags

CCSS.HSA.APR.D.6

MATCH QUESTION

1 min • 5 pts

Match the following:

The work provided shows the polynomial 5x² - 10x - 40 being divided by...

x+2

-2...

The remainder is...

x + 2...

Tags

CCSS.HSA.APR.D.6

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

LINGKARAN 03 MIPA 1

Quiz

•

11th Grade

20 questions

PTS Matematika Semester Ganjil 2019/2020

Quiz

•

11th Grade

16 questions

Quiz-5 retake

Quiz

•

9th Grade - University

17 questions

Quadratic Equations: Standard Form

Quiz

•

10th - 11th Grade

19 questions

Operations on polynomials

Quiz

•

10th Grade

15 questions

Multiplying powers

Quiz

•

8th - 11th Grade

20 questions

DERIVATIVE REVIEW (3 STEP)

Quiz

•

10th Grade - University

20 questions

quiz 3

Quiz

•

7th Grade - University

Popular Resources on Wayground

7 questions

History of Valentine's Day

Interactive video

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

15 questions

Valentine's Day Trivia

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade

10 questions

Evaluating Piecewise Functions Practice

Quiz

•

11th Grade

5 questions

Triangle Congruence Theorems

Interactive video

•

9th - 12th Grade

15 questions

Module 3 Topic 1 Vocabulary Quiz

Quiz

•

10th Grade

16 questions

Circle Vocabulary

Quiz

•

9th - 10th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

10 questions

Multiplying Fractions with Area Models

Interactive video

•

6th - 10th Grade

Remainder Theorem and Factor Theorem

Match the following appropriately. It is important you can recognize the connection between factors and solutions.

Match the following appropriately. It is important you can recognize the connection between factors and solutions.

Match the following:

Which statement accurately describes what this work demonstrates?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Match the following appropriately.
It is important you can recognize the connection between factors and solutions.

Match the following appropriately.
It is important you can recognize the connection between factors and solutions.