Polynomial Terminology
Adding and Subtracting
Polynomials
Distributive Property
Multiplying
Polynomials
Simplifying Polynomials
Polynomials
in Context
100

What is the degree of the expression:

x^5 - 10x^3

5

100

What is the sum of the following polynomial:


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


8x^2 -2x -1

100

Simplify:

-3(2x^2-4)

-6x^2+12

100

What is an equivalent expression for

(x+6)(x-4)

x^2-4x+6x-24

x^2+2x-24

100

Simplify:

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

5x^2+3x-2x^2+2x-2

3x^2+5x-2

100

A triangle has the following 3 sides, what is the perimeter of the triangle?

x^2+4x + 2, x^2 +5x -4, and 5x^2 + 3x + 4

7x^2+12x+2

200

What is the leading coefficient of the expression:

4x^2 - 2x^3 + 33

-2

200

What is the sum of the following polynomial:

(x^2 -x +5) + (6x^2 +2x -10)

7x^2 + x -5

200

Simplify:

5x(-x^3+3x^2+10)

-5x^4+15x^3+50x

200

What is the product of 

(3x-2)(2x-3)

6x^2-9x-4x+6

6x^2-13x+6

200

What is the difference between the following polynomials:

3a^2(a^3-2a)-4a^3

3a^5-6a^3-4a^3

3a^5-10a^3

200

A rectangle has a length of 3x and a width of 2x+1. What is the area?

6x^2+3x

300

What type of polynomial is given below:

4x - 3x^2 + 7x

Binomial

LOL  -3x^2 + 11x 

Combine like terms!

300

What is the sum of the following polynomial:

(4y^2 + 8y -12) - ( 3y^3 - 13y +5)

-3y^3+4y^2+21y-7

300

Simplify:

ab^2(a^2b - ab^2)

a^3b^3 - a^2b^4

300

What expression is equivalent to 

(2x+5)^2

4x^2+10x+10x+25

4x^2+20x+25

300

What is the difference between the following polynomials:

ab(a^3-b^3)+a^4b-6ab^4

ab(a^3-b^3)+a^4b-6ab^4

a^4b-ab^4+a^4b-6ab^4

2a^4b-7ab^4

300

What is the perimeter of my garden?

10x+6

400

Write the following polynomial in standard form:

5 - 7x + 2x^2 - 2x^2 - 3x + 6


-10x + 11

400

What is the sum of the following polynomial:

(6a^3+12a^2-15a)-(4a^2-12a+8)

6a^3+8a^2-3a-8

400

4x^4y^6(-2xy^4+3x^2y^2)

-8x^5y^10+12x^6y^8

400

Which expression is equivalent to 

(x+3)(x^2+2x+4)

x^3+15x^2+10x+12

400

What is the difference between the following polynomials:

6x(5x^2-2)-3(7x-3)

30x^3-12x-21x+9

30x^3-33x+9

400

What is the area of my garden?

6x^2+14x-40

500

What is the leading coefficient of the polynomial:

5x^2 + 4x^3 - 3x^4 - 3x^4 + 2x^3

-6

500

What is the sum of the following polynomial:

(3x^2-5x+7)+(x^2+2x-1)-(2x^2-6x-4)

2x^2+3x+10

500

2x^4y^3z^2(2xyz-3x^2y^3z^4+4y^2z^5)

4x^5y^4z^3-6x^6y^6z^6+8x^4y^5z^7

500

Find the product:

(x+3)(x+4)(x-5)

(x^2+7x+12)(x-5)

x^3-5x^2+7x^2-35x+12x-60

x^3+2x^2-23x-60

500

What is the difference between the following polynomials: 

e^2f(e^2f^2+2ef)-3ef(6ef-2e^3f^2)+6(e^2f^2-2ef^3)

e^4f^3+2e^3f^2-18e^2f^2+6e^4f^3+6e^2f^2-12ef^3

7e^4f^3+2e^3f^2-12e^2f^2-12ef^3

500

You made a box and the perimeter was 3x, then you made another box and the perimeter was 2x - 1. What is the difference between the perimeter of your first and second box?

x-1

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