Definitions
In an expression, it is the term that has no variable attached to it.
What is a constant?
Add the polynomials (9x+y)+(3x-y)
What is 12x
Multiply x(x+1)
What is x2+x
Multiple: (x+1)(x+1)
What is x2+2x+1
Multiply: (x+3)(x2-2x+1)
What is x3+x2-5x+3
3x, 4y, 6x2, 5xy are examples of this.
What is a monomial?
Simplify 3x2+2x+4x2+1
What is 7x2+2x+1
Multiply -3x(x-4)
What is -3x2 +12x
Multiply: (x+5)(x-4)
What is x2+x-20
multiply: (x-1)(x2+2x+4)
What is x3+x2+2x-4
The number attached to (in front of) a variable is this.
What is a coefficient?
Subtract (9x2-2x+3)-(4x2+5x)
What is 5x2-7x +3
Multiply: -5(-y+4)
What is 5y-20
Multiply: (3x+2)(x-3)
What is 3x2 -7x-6
Multiply: (x-2)(2x2+3x+1)
What is 2x3-x2-5x-2
What is the method we use when multiplying polynomials
Box Method
Simplify: (x2 +3x-1)+(5x2-5x-7)
What is 6x2-2x-8
Multiply: 4x(5x-3)
What is 20x2-12x
Multiply: (x+1)(x+1)
What is x2+2x +1
Multiply: (x+2)(3x2-4x-5)
What is 3x3+2x2-13x-10
Grouping together terms that are the same
(Ex: 2y+4x-5x = 2y-x)
What is combining like terms
Simplify: 15x2 +3y2 -4x2 +5y2
What is 11x2+ 8y2
Multiple: 3x(x-1)
What is 3x2 -3x
Multiply: (x-6)(2x+1)
What is 2x2 -11x-6
Multiply: (7k − 3)(k2 − 2k + 7)
What is 7k3 − 17k2 + 55k − 21