Search Header Logo

Polynomial Remainder & Synthetic Division Challenge

Authored by Anthony Clark

English, Mathematics

11th Grade

CCSS covered

Polynomial Remainder & Synthetic Division Challenge
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer has a rectangular field represented by the polynomial A(x) = x^2 + 5x + 6. If he wants to divide the field into two equal parts, what polynomial represents the area of each part?

(1/2)x^2 + (5/2)x + 3

x^2 + 5x + 6

(1/2)x^2 + 3x + 2

(1/4)x^2 + (5/4)x + 1.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is organizing a fundraiser and has a goal of raising P(x) = 2x^3 - 3x^2 + 4x - 5 dollars. If they have already raised $10, what will be the remainder when P(x) is divided by (x - 5)?

100

220

150

190

Tags

CCSS.HSA.APR.B.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A company produces a product with a profit function given by P(x) = x^3 - 6x^2 + 9x. Use synthetic division to find the profit when they produce 3 units.

0

3

6

-1

Tags

CCSS.HSA.APR.D.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A polynomial representing the height of a projectile is given by H(t) = -16t^2 + 64t + 48. What is the height of the projectile at t = 2 seconds using synthetic division?

112

96

80

128

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company has a revenue function R(x) = 3x^4 - 12x^3 + 9x^2 - 4. If they want to find the revenue when they rent out 2 cars, what is the remainder when R(x) is divided by (x - 2)?

-4

-16

0

-8

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A local bakery sells cupcakes represented by the polynomial C(x) = x^3 - 4x^2 + 6x - 8. If they sell 1 dozen cupcakes, what is the value of C(12) using synthetic division?

1216

900

1000

1500

Tags

CCSS.HSA.APR.D.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A construction company has a volume function V(x) = x^3 - 3x^2 + 2x. If they want to find the volume when x = 1, what is the remainder when V(x) is divided by (x - 1)?

1

-1

0

2

Tags

CCSS.HSA.APR.B.2

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?