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
Combine 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 a variable is this
What is a coefficient
Combine (9xy-2y+3y)-(4xy+5y)
What is 5xy-4y
Multiply: -5x(-y+4)
What is 5xy-20x
Multiply: (3x+2)(x-3)
What is 3x2-7x-6
Multiply: (x-2)(2x2+3x+1)
What is 2x3-x2-5x-2
When multiplying polynomials we use this property
What is the distributive property
Combine: (x2 +3x-1)+(5x2-5x-7)
What is 6x2-2x-8
Multiply: 4x2(5x-y)
What is 20x3-4x2y
A square pool has sides of (12v+6) yards. What is the area of the pool?
What is 36v2+36v+9
What is the simplified form of the product of the two polynomials (x – 1)(x2 + x + 1)?
x3 – 1
Grouping together terms that are the same (Ex: 2y+4x-5x = 2y-x)
What is combining like terms
Combine: -4xy+15x2y+3xy2-4x2y+5xy
What is 11x2y+3xy2+xy
Find the area of a rectangle with a length of 3xy and a width of xy-1
What is 3x2y2-3xy
Multiply: (x-6)(2x3+1)
What is 2x4-12x3+x-6
Expand (2x + 5)(x – 7)(x – 3)
What is 2x3-15x2-8x+105