Vocabulary
The number in front of a variable
What is a coefficient?
(4a-5)+(3a+6)
7a+1
x4*x-3*x5x
x7
(x-9)(x+9)
x2-81
3x2+27x
3x(x+9)
A polynomial with only 2 terms.
What is a binomial?
(3x2-2x+9)+(x2+2x-9)
4x2
(x4)3
x12
(x-2)(x+4)
x2+2x-8
24x6+8x4-12x2
4x2(6x4+2x2-3)
A polynomial with only 3 terms.
What is a trinomial?
(2x2+6xy-5y)+(3x2+2xy+5y-2y2)
5x2+8xy-2y2
(x3y2)(x10y-2)
x13
(x+2)2
x2+4x+4
5x(x-3)+3(x-3)
(5x+3)(x-3)
A term that only has a number not a variable.
What is a constant?
(10s+3t-5r)+(3s+10t+2r)
13s+13t-3r
(2r-5s2t4)3(3s2t)2
72(s^10t^14)/r^15
(2x-3)2
4x2-12x+9
6y(y-1)-(1-y)
(6y+1)(y-1)
Identical monomials that may have different coefficients
What is similar monomials?
6k2+4km2-16m+2km2+10m+3k2
9k2+6km2-6m
(45x^3y^5z^9)/(3x^2y^8z^3)
15(xz^6)/(y^3)
(2x+3)(2x2+3x+4)
4x3+12x2 +17x+12
30x2+6xy+15x+3y
(6x+3)(5x+y)