Algebra 2 -- Add, Subtract, Multiply, Divide Polynomials

Algebra 2 -- Add, Subtract, Multiply, Divide Polynomials

9th - 12th Grade

7 Qs

quiz-placeholder

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Algebra 2 -- Add, Subtract, Multiply, Divide Polynomials

Algebra 2 -- Add, Subtract, Multiply, Divide Polynomials

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

CCSS
HSA.APR.D.6, HSF-BF.A.1C, 6.EE.A.3

+1

Standards-aligned

Created by

Angela Garcia

Used 17+ times

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the following expression:

 14(12x  8y)  11(3x + 2y  5)\frac{1}{4}\left(12x\ -\ 8y\right)\ -\ 11\left(3x\ +\ 2y\ -\ 5\right)  

 36x  20y  55-36x\ -\ 20y\ -\ 55  

 30x  24y + 55-30x\ -\ 24y\ +\ 55  

 30x + 4y + 55-30x\ +\ 4y\ +\ 55  

 27x + 20y  55-27x\ +\ 20y\ -\ 55  

Tags

CCSS.6.EE.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the following expression:

 (4x2  10)(8x  100)\left(4x^2\ -\ 10\right)\left(8x\ -\ 100\right)  

 12x3  11012x^3\ -\ 110  

 32x2  400x  8032x^2\ -\ 400x\ -\ 80  

 32x3  400x2  80x + 100032x^3\ -\ 400x^2\ -\ 80x\ +\ 1000  

 12x3  400x2  2x  100012x^3\ -\ 400x^2\ -\ 2x\ -\ 1000  

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the quotient and remainder after dividing using long division.

 (x4 + 3x3 + 2x + 1)÷(x2 + x + 1)\left(x^4\ +\ 3x^3\ +\ 2x\ +\ 1\right)\div\left(x^2\ +\ x\ +\ 1\right)  

 x2 + 2x  3 + 3x + 4x2 + x + 1x^2\ +\ 2x\ -\ 3\ +\ \frac{3x\ +\ 4}{x^2\ +\ x\ +\ 1}  

 x2 + 2x  x2  xx2 + x + 1x^2\ +\ 2x\ -\ \frac{x^2\ -\ x}{x^2\ +\ x\ +\ 1}  

 x2 + 4x + 5 + 11x + 6x2 + x + 1x^2\ +\ 4x\ +\ 5\ +\ \frac{11x\ +\ 6}{x^2\ +\ x\ +\ 1}  

 x2 + 4x  3 + 2x + 1x2 + x + 1x^2\ +\ 4x\ -\ 3\ +\ \frac{2x\ +\ 1}{x^2\ +\ x\ +\ 1}  

Tags

CCSS.HSA.APR.D.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the quotient and remainder after dividing using synthetic division.

 (4x3 + 3x2 + 2x + 4)÷(x + 2)\left(4x^3\ +\ 3x^2\ +\ 2x\ +\ 4\right)\div\left(x\ +\ 2\right)  

 4x2 + 11x + 24 + 52x + 24x^2\ +\ 11x\ +\ 24\ +\ \frac{52}{x\ +\ 2}  

 4x2 + 11x  20 + 44x + 24x^2\ +\ 11x\ -\ 20\ +\ \frac{44}{x\ +\ 2}  

 4x2 + 5x + 8 + 20x + 24x^2\ +\ 5x\ +\ 8\ +\ \frac{20}{x\ +\ 2}  

 4x2  5x + 12  20x + 24x^2\ -\ 5x\ +\ 12\ -\ \frac{20}{x\ +\ 2}  

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The polynomial

 6x3  33x2 + 49x  126x^3\ -\ 33x^2\ +\ 49x\ -\ 12   represents the volume in cubic meters of a rectangular gasoline holding tank at NASA in Houston, TX. The height of the tank is (x - 3). Use synthetic division to help you find the polynomial that represents the area of the base for the holding tank. (Hint: The volume of a rectangular solid is given by (Area of the base x Height)). 

 6x2  51x + 202  618x  36x^2\ -\ 51x\ +\ 202\ -\ \frac{618}{x\ -\ 3}  

 6x2 + 15x + 94 + 270x  36x^2\ +\ 15x\ +\ 94\ +\ \frac{270}{x\ -\ 3}  

 6x2  51x + 46x^2\ -\ 51x\ +\ 4  

 6x2  15x + 46x^2\ -\ 15x\ +\ 4  

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given

 f(x)=x2+6f\left(x\right)=x^2+6  and  g(x)=2x  1g\left(x\right)=2x\ -\ 1  , find  f(g(x))f\left(g\left(x\right)\right)  .

 x2 + 2x + 5x^2\ +\ 2x\ +\ 5  

 2x2 + 112x^2\ +\ 11  

 4x2 + 54x^2\ +\ 5  

 4x2  4x + 74x^2\ -\ 4x\ +\ 7  

Tags

CCSS.HSF-BF.A.1C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given  f(x)=x2+6f\left(x\right)=x^2+6  and  g(x)=2x  1g\left(x\right)=2x\ -\ 1  , find  g(f(x))g\left(f\left(x\right)\right)  .


 4x2  4x + 74x^2\ -\ 4x\ +\ 7  

 x2 + 2x + 5x^2\ +\ 2x\ +\ 5  

 2x2 + 112x^2\ +\ 11  

 4x2 + 54x^2\ +\ 5  

Tags

CCSS.HSF-BF.A.1C