Operations
Characteristics of Polynomials
Special Products
Application Questions
Classifying Polynomials
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

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

100

A term that has 2 monomials added together would be called a ________________.

Binomial

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

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

200

Classify the polynomial by the degree AND the number of terms.

-5x^2+x-9

Quadratic Trinomial

300

Multiply the binomials. 

(x-5)(x+1)

x^2-4x-5

300

Write the polynomial in standard form.  What is the degree of the polynomial below?

12-5x+x^2

x^2-5x+12

degree of 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

300

Classify the polynomial by the degree AND the number of terms.

-5x^4-5x^2-6x+2

Quartic Polynomial

400

Multiply.

-2x^2(4x-6)

-8x^3+12x^2

400

What is the leading coefficient in this polynomial?

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

8

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

400

Classify the polynomial by the degree AND the number of terms. 

-19x+24

Linear Binomial

500

Multiply.

5x(-11x^3+5x^2-10x+3)

-55x^4+25x^3-50x^2+15x

500

Write the polynomial below in standard form. What is the leading coefficient?

x-4-x^2

-x2 + x - 4

Leading coefficient: -1



500

Find the product. 

(9x-1)^2

81x^2-18x+1

500

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

V=2x^3+5x^2+2x

500

Classify the polynomial by the degree AND the number of terms. 

10xy^2z^2

Quintic Monomial

600

Multiply the polynomials. 

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

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


600

Write the polynomial in standard form. Then name the leading coefficient and the degree. 

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

Leading coefficient: -4

Degree: 4

-4x^4-x^3-5x

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

600

Classify the polynomial by the degree AND the number of terms. 

16x^7-8x^3+2x

7th degree trinomial

M
e
n
u