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REVIEW: Unit 2

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.

What is the degree of the following polynomial?


 3x2+5x53x^2+5x^5  

a)

5

b)

2

c)

3

d)

0

2.

Choose the best description for the following polynomial:

 9x5+4x2+9x39x^5+4x^2+9x^3  

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Not a polynomial

3.

Which of the following is in Standard Form of a Polynomial?

a)

10x7−3x6−210x^7-3x^6-2

b)

−5y2+18y7−3y-5y^2+18y^7-3y

c)

x−5+10x2x^{-5}+10x^2

d)

3x4+2x2+1x3x^4+2x^2+\frac{1}{x}

4.

True or False: The following polynomial is in Standard Form

 x5+x4−x3+x−x2x^5+x^4-x^3+x-x^2  

a)

True

b)

False

5.

Simplify the following by adding the polynomials:

 (4x+3)+(−2x2+x−6)\left(4x+3\right)+\left(-2x^2+x-6\right)  

a)

 −2x2+5x−3-2x^2+5x-3  

b)

 −2x2+3x+3-2x^2+3x+3  

c)

 −2x4−3-2x^4-3  

d)

 −2x4+3-2x^4+3  

6.

Simplify the following by subtracting the polynomials:

 (8x2+2)−(5x2−2)\left(8x^2+2\right)-\left(5x^2-2\right)  

a)

 3x2+43x^2+4  

b)

 3x23x^2  

c)

 13x2+413x^2+4  

d)

 3x4+43x^4+4  

7.

Simplify the following by multiplying the polynomials:

 y2(−2y3+2y−1)y^2\left(-2y^3+2y-1\right)  

a)

 −2y5+2y3−y2-2y^5+2y^3-y^2  

b)

 −2y6+2y2−1-2y^6+2y^2-1  

c)

 −y5+3y2−y-y^5+3y^2-y  

d)

 −2y5-2y^5  

8.

Which of the following shows the correct expansion of

 (6x−2)2\left(6x-2\right)^2  

a)

 (6x−2)(6x−2)\left(6x-2\right)\left(6x-2\right)  

b)

 (6x)2−(2)2\left(6x\right)^2-\left(2\right)^2  

c)

 36x2−436x^2-4  

d)

 2(6x−2)2\left(6x-2\right)  

9.

Simplify the following by multiplying the polynomials:

 (4x−1)(5x3+x2+2x)\left(4x-1\right)\left(5x^3+x^2+2x\right)  

a)

 20x4+x3+7x2−2x20x^4+x^3+7x^2-2x  

b)

 9x4+5x2+6x9x^4+5x^2+6x  

c)

 20x4−9x3−9x2−2x20x^4-9x^3-9x^2-2x  

d)

 9x3+5x+29x^3+5x+2  

10.

Determine a polynomial for the area of the rectangle

a)

3x2+11x+103x^2+11x+10

b)

3x+11x2+103x+11x^2+10

c)

4x+10x+74x+10x+7

d)

3x2+30x+103x^2+30x+10