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Adding and Subtracting Polynomials
Multiplying Polynomials
Factoring x^2 +bx +c
Factoring ax^2 +bx +c
Vocabulary
100
(2x)+(3x)
5x
100
(6) (y^2 -5)
6y^2 -30
100
x^5x +6
(x+2) (x+3)
100
3x^2+6x+3
(3x+3) (x+1)
100
A monomial or a sum of monomials.
What is a polynomial?
200
(7x^2+3x) -5x
7x^2 -2x
200
(y+3) (y-2)
y^2 +y -6
200
x^2 +8x +15
(x+5) (x+3)
200
2x^2 +11x +5
(2x +1) (x+5)
200
A polynomial with two terms
What is a binomial?
300
(57x -42) +3
57x -39
300
(3y -2) (y-4)
3y^2 -14y +8
300
x^2 +6 -72
(x+12) (x-6)
300
10x^2 +23x +12
(5x+4) (2x+3)
300
The sum of the exponents of the variables of the monomial.
What is the degree?
400
(43x^2 -23x +5) -(19x -13)
43x^2 -42x +18
400
(4y-8) (5y-9)
20y^2 -76y +72
400
(x^2 -27x +182
(x-14) (x-13)
400
36x^2+48x-20
(12x-4) (3x+5)
400
a^2 - b^2 = (a+b)(a-b)
What is the difference of squares pattern?
500
(13x^2 -76x +97) -(-87x^2 +24x +85)
100x^2 -100x +12
500
(25x +20) (8x -16)
200x^2 -240x -320
500
x^2 +11 -126
(x+18) (x-7)
500
63x^2 -4x -99
(7x-9) (9x+11)
500
a^2 + 2ab + b^2 = (a+b)(a+b) and a^2 - 2ab + b^2 = (a-b)(a-b)
What is the perfect square trinomial pattern?