Definitions
When you _______ terms with the same base, you ADD their exponents.
Multiply
(6x^2+x)+(x^2-x)
7x^2
b(2b^3-12b^2+b)
2b^4-12b^3+b^2
(-x+1)(1+x)
-x^2+1
What is the only continent without native reptiles and snakes?
Antarctica
a^x(a^y)
a^(x+y)
When you add like terms you add their __________. For example... 2x + 3x = 5x
Coefficients
(8y^2+y-2)-(-2y^2-y-6)
6y^2-8
-3a(a^4-6a^2+5)
-3a^5+18a^3-15a
(2x^3+x)(2y+y^3)
4x^3y+2x^3y^3+2yx+xy^3
What abbreviation comes from libra, meaning pound in Latin?
lb
3a(a^x+a^y)
3a^(1+x)+3a^(1+y)
A _________ is a monomial or the sum of monomials.
Polynomial
(4y^3-2y^2+1)-(-6y^3+2y^2)
10y^3-4y^2+1
4x^3y^2(8x^2+y-2)
-24x^5y^2-4x^3y^3+8x^3y^2
(3x2-x)2
9x2-6x3+x2
What is the largest living bird on earth?
The Ostrich
-2x^a(3x^a-x^(3a))
-6x^(2a)+2x^(4a)
A _______ is the sum of two monomials.
A _______ is the sum of three monomials.
binomial; trinomial
(-10y^4-y^2+6)-(10y^2+y^4+6)
-11y^4-11y^2
7a^3bc^2(2a^3b-10ac^3-2)
14a^6b^4c^2-70a^3bc^5-14a^3bc^2
(x-3)(x2-3x+2)
x3-6x2+11x-6
When was the first permanent photograph taken? (If you can guess within the decade I'll give you the points)
1826
m^x(2m^x+m^y)+3m^(y+x)
2m^(2x)+4m^(x+y)
The __________ ____________ can be used to multiply any two polynomial expressions.
distributive property
-2(x^2+10x^3)-(-x^2+5x^3)
-x^2-25x^3
2a(-3a^4+a)+a^4(8a-3a)
-a^5+2a^2
-[(2z^3+4)(2z^3-4)]
-4z^6+16
What layer of Earth's atmosphere sits between the troposphere and mesosphere?
The stratosphere
(x^a+x^y)^2
x^(2a)+2x^(a+y)+x^(2y)