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Worksheets

Pearson E&I Algebra Ch4: Polynomials

Total questions: 19

Worksheet time: 48mins

Name
Class
Date
1.

Simplify 73757^3\cdot7^5  

a)

 777^7  

b)

 787^8  

c)

 7157^{15}  

d)

4915

2.

Simplify x7x3xx^7\cdot x^3\cdot x  

a)

 x11x^{11}  

b)

 x21x^{21}  

c)

 x10x^{10}  

d)

 x22x^{22}  

3.

 (x4y5)(x7y2)(x^4y^5)(x^7y^2)  Simplify

a)

 x28y10x^{28}y^{10}  

b)

 x3y3x^3y^3  

c)

 xy18xy^{18}  

d)

 x11y7x^{11}y^7  

4.

Multiple choice.

a)

A

b)

B

c)

C

d)

D

5.

Simplify 909^0  

a)

9

b)

0

c)

1

d)

90

6.

 (x8)10(x^8)^{10}  Simplify

a)

 x80x^{80}  

b)

 x2x^2  

c)

 x18x^{18}  

d)

 x2x^{-2}  

7.

Simplify (3a5)4(3a^5)^4  

a)

 3a203a^{20}  

b)

 34a93^4a^9  

c)

 3a93a^9  

d)

 34a203^4a^{20}  

8.

 (2b8)(5b6)(-2b^8)(5b^6)  Simplify

a)

 10b14-10b^{14}  

b)

 10b48-10b^{48}  

c)

 3b23b^2  

d)

 3b143b^{14}  

9.

SImplify

a)

b13b^{13}

b)

b5b^5

c)

b36b^{36}

d)

bb

10.

Multiple Choice

a)

A

b)

B

c)

C

d)

D

11.

Simplify. Do not use negative exponents in your answer. t4t8\frac{t^{-4}}{t^{-8}}  

a)

t4t^4  

b)

t12t^{-12}  

c)

t4t^{-4}  

d)

t12t^{12}  

12.

Combine Like Terms: 5x3x3+45x^3−x^3+4  

a)

0

b)

 4x3+44x^3+4  

c)

 8x38x^3  

d)

 4x6+44x^6+4  

13.

Add the polynomials.

a)

17x43x2+117x^4−3x^2+1

b)

17x23x+117x^2−3x+1

c)

7x2+7x19-7x^2+7x−19

d)

17x27x117x^2−7x−1

14.

Add the polynomials

a)

4x36x+104x^3−6x+10

b)

4x36x2+x+104x^3−6x^2+x+10

c)

4x3x24x+104x^3−x^2−4x+10

d)

4x3x25x+104x^3−x^2−5x+10

15.

Subtract the Polynomials

a)

11x21811x^2-18

b)

11x210x+211x^2−10x+2

c)

11x2x1811x^2−x−18

d)

11x210x+1811x^2−10x+18

16.

Subtract the Polynomials

a)

x3+8x+3x^3+8x+3

b)

x3+x2+12x1x^3+x^2+12x−1

c)

x3+x2+2x+3x^3+x^2+2x+3

d)

x3x2+12x+3x^3−x^2+12x+3

17.
Which of the following is a polynomial with two terms?
a)
Monomial
b)
Trinomial
c)
Binomial
d)
Bicycle
18.

Find the product.

(5x + 2) (x2 - 3x +6)

a)

5x3 - 17x2 +24x +12

b)

5x3 + 17x2 - 24x +12

c)

5x3 - 13x2 + 24x +12

d)

5x3 +13x2 - 24x - 12

19.

Find the product:
(8x7)(26x+9x2)\left(8x-7\right)\left(2-6x+9x^2\right)  

a)

9x3+14x27x+149x^3+14x^2-7x+14  

b)

72x3111x2+58x1472x^3-111x^2+58x-14  

c)

x3+2x25x+2x^3+2x^2-5x+2  

d)

3x32x2+7x93x^3-2x^2+7x-9