Operations
Characteristics of Polynomials
GCF
Special Products
Application Questions
100

Add the Polynomials

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

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

100

What is the degree of the monomial?

17x^3yz^4

8

100

IDENTIFY the GCF of the following polynomial. 

16x^4-32x^2+8x

8x

100

Multiply the binomials:

(x+3)(x-3)

x^2-9

100

Suppose you spend three years working for a company. At the end of each year, you invest the money you earned. In the first year, you invest $1,050, and you invest $1,250 in the second summer. In the final summer, you invest $1,780. If the investment account earns 10% interest each year, how much will you have at the end of the third year? 

$4,425.50

200

Subtract the polynomials:

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

6x^2-x+13

200

What is the degree of the polynomial?

-2x^3+x^4-x^2+1

4

200

IDENTIFY the GCF of the polynomial. 

3x^8-7x^5+6x^2-4x

x

200

Multiply the binomials:

(2x-4)(2x+4)

4x^2-16

200

Suppose you deposit $37, $79, $83, and $96 into a savings account over the last four years, respectively. If the account earns 4% interest each year, how much money will be in the account at the end of the fourth year?

$309.39

300

Multiply the binomials. 

(x-5)(x+1)

x^2-4x-5

300

Characterize the equation below as a monomial, binomial, trinomial, or polynomial. 

x-12

Binomial

300

Use GCF to factor the polynomial.

72y^3+40y^2-16)

8(9y^3+5y^2-2)

300

Find the product.

(2a-7)^2

4a^2-28a+49

300

Write a polynomial in standard form that gives the area of the shaded region. 

x^2+29x+39

400

Multiply the polynomials. 

(x-3)(2x^2-7x+1)

2x^3-13x^2+22x-3


400

What is the leading coefficient in this polynomial?

8x^3-6x^2+2x-1

8

400

Use GCF to factor the polynomial.

(18r5 + 36r4 + 27r3

9r^3(2r^2+4r+3)

400

Find the product. 

(3x+5)^2

9x^2+30x+25

400

Write a polynomial in standard form that gives the area of the shaded region. 

x^2+2x-2

500

Divide the polynomials:

((9y-3)(y-1))/(3y-1)

3y-3

500

Write the polynomial below in standard form. 

x-4-x^2

-x2 + x - 4



500

Use GCF to factor the polynomial.

34m3n2 – 51m2n3

17m^2n^2(2m-3n)

500

Find the product. 

(9x-1)^2

81x^2-18x+1

500

Write a polynomial in factored form that gives the volume of the rectangular prism. 

(x+2)(x)(2x+1)=V

600

Divide the polynomials. 

((2x+12)(2x+1))/(-3x-18)

-4/3x-2/3

600

Write the polynomial in standard form. 

(-x^3-5x-x^4)

-x^4-x^3-5x

600

Use GCF to factor the polynomial. 

3x3y + 6x2y - 9x

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

600

Find the product. 

(8x^2+2y)^2

64x^4+32x^2y+4y^2

600

Write a polynomial in STANDARD form that gives the volume of the rectangular prism. 

V=24x^3+40x^2-16x