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